SlideShare a Scribd company logo
solving Laplace Equation using
Gauss-seidel method
in matlab
Prepared by:
Mohamed Ahmed
Faculty of Engineering
Zagazig university
Mechanical department
Run the program and input the
Boundry conditions
Results
temprature distirbution
in 2_D &3-D
Best wishes

More Related Content

What's hot

Problems and solutions statistical physics 1
Problems and solutions   statistical physics 1Problems and solutions   statistical physics 1
Problems and solutions statistical physics 1
Alberto de Mesquita
 
DOMINO LOGIC CIRCUIT (VLSI)
DOMINO LOGIC CIRCUIT (VLSI)DOMINO LOGIC CIRCUIT (VLSI)
DOMINO LOGIC CIRCUIT (VLSI)
AmiBokasoda
 
Introduction to tensor calculus
Introduction to tensor calculusIntroduction to tensor calculus
Introduction to tensor calculus
martin pomares calero
 
Design of CMOS operational Amplifiers using CADENCE
Design of CMOS operational Amplifiers using CADENCEDesign of CMOS operational Amplifiers using CADENCE
Design of CMOS operational Amplifiers using CADENCE
nandivashishth
 
5 earth gravitation
5 earth gravitation5 earth gravitation
5 earth gravitation
Solo Hermelin
 
Scalar and vector differentiation
Scalar and vector differentiationScalar and vector differentiation
Scalar and vector differentiation
RCC Institute of Information Technology
 
FEM: Introduction and Weighted Residual Methods
FEM: Introduction and Weighted Residual MethodsFEM: Introduction and Weighted Residual Methods
FEM: Introduction and Weighted Residual Methods
Mohammad Tawfik
 
Difference Between Impatt Diode and Trapatt Diode and Baritt Diode
Difference Between Impatt Diode and Trapatt Diode and Baritt DiodeDifference Between Impatt Diode and Trapatt Diode and Baritt Diode
Difference Between Impatt Diode and Trapatt Diode and Baritt Diode
AL- AMIN
 
Joukowski's airfoils, introduction to conformal mapping
Joukowski's  airfoils, introduction to conformal mappingJoukowski's  airfoils, introduction to conformal mapping
Joukowski's airfoils, introduction to conformal mapping
RAHUL SINHA
 
Rigid Body Dynamic
Rigid Body DynamicRigid Body Dynamic
Rigid Body DynamicNabeh Wildan
 
Secant Method
Secant MethodSecant Method
Secant Method
Afraz Khan
 
Oxidation
OxidationOxidation
Application of analytic function
Application of analytic functionApplication of analytic function
Application of analytic function
Dr. Nirav Vyas
 
Derivation and solution of the heat equation in 1-D
Derivation and solution of the heat equation in 1-DDerivation and solution of the heat equation in 1-D
Derivation and solution of the heat equation in 1-D
IJESM JOURNAL
 
VECTOR FUNCTION
VECTOR FUNCTION VECTOR FUNCTION
VECTOR FUNCTION
Siddhi Shrivas
 
8 beam deflection
8 beam deflection8 beam deflection
8 beam deflection
Lisa Benson
 

What's hot (20)

Problems and solutions statistical physics 1
Problems and solutions   statistical physics 1Problems and solutions   statistical physics 1
Problems and solutions statistical physics 1
 
DOMINO LOGIC CIRCUIT (VLSI)
DOMINO LOGIC CIRCUIT (VLSI)DOMINO LOGIC CIRCUIT (VLSI)
DOMINO LOGIC CIRCUIT (VLSI)
 
Introduction to tensor calculus
Introduction to tensor calculusIntroduction to tensor calculus
Introduction to tensor calculus
 
Design of CMOS operational Amplifiers using CADENCE
Design of CMOS operational Amplifiers using CADENCEDesign of CMOS operational Amplifiers using CADENCE
Design of CMOS operational Amplifiers using CADENCE
 
Calcul vectoriel
Calcul vectorielCalcul vectoriel
Calcul vectoriel
 
5 earth gravitation
5 earth gravitation5 earth gravitation
5 earth gravitation
 
Scalar and vector differentiation
Scalar and vector differentiationScalar and vector differentiation
Scalar and vector differentiation
 
FEM: Introduction and Weighted Residual Methods
FEM: Introduction and Weighted Residual MethodsFEM: Introduction and Weighted Residual Methods
FEM: Introduction and Weighted Residual Methods
 
Difference Between Impatt Diode and Trapatt Diode and Baritt Diode
Difference Between Impatt Diode and Trapatt Diode and Baritt DiodeDifference Between Impatt Diode and Trapatt Diode and Baritt Diode
Difference Between Impatt Diode and Trapatt Diode and Baritt Diode
 
Double integration
Double integrationDouble integration
Double integration
 
Joukowski's airfoils, introduction to conformal mapping
Joukowski's  airfoils, introduction to conformal mappingJoukowski's  airfoils, introduction to conformal mapping
Joukowski's airfoils, introduction to conformal mapping
 
Rigid Body Dynamic
Rigid Body DynamicRigid Body Dynamic
Rigid Body Dynamic
 
Secant Method
Secant MethodSecant Method
Secant Method
 
Mohrs cirlce
Mohrs cirlceMohrs cirlce
Mohrs cirlce
 
Oxidation
OxidationOxidation
Oxidation
 
Application of analytic function
Application of analytic functionApplication of analytic function
Application of analytic function
 
Derivation and solution of the heat equation in 1-D
Derivation and solution of the heat equation in 1-DDerivation and solution of the heat equation in 1-D
Derivation and solution of the heat equation in 1-D
 
Chapter 4 (maths 3)
Chapter 4 (maths 3)Chapter 4 (maths 3)
Chapter 4 (maths 3)
 
VECTOR FUNCTION
VECTOR FUNCTION VECTOR FUNCTION
VECTOR FUNCTION
 
8 beam deflection
8 beam deflection8 beam deflection
8 beam deflection
 

Viewers also liked

Numerical methods for 2 d heat transfer
Numerical methods for 2 d heat transferNumerical methods for 2 d heat transfer
Numerical methods for 2 d heat transfer
Arun Sarasan
 
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
ijsrd.com
 
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
IAEME Publication
 
lecture notes on Bearings
lecture notes on Bearingslecture notes on Bearings
lecture notes on BearingsSarath Bandara
 
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
Juned Patel
 
PERFORMANCE ANALYSIS OF GAS LUBRICATED CYLINDRICAL JOURNAL BEARING USING FS...
PERFORMANCE ANALYSIS OF GAS LUBRICATED  CYLINDRICAL JOURNAL BEARING  USING FS...PERFORMANCE ANALYSIS OF GAS LUBRICATED  CYLINDRICAL JOURNAL BEARING  USING FS...
PERFORMANCE ANALYSIS OF GAS LUBRICATED CYLINDRICAL JOURNAL BEARING USING FS...
Venkata Sai Teja Gunuputi
 
Proyecto diseño ambiental
Proyecto diseño ambientalProyecto diseño ambiental
Proyecto diseño ambientaldec-admin
 
19364 072414190105
19364 07241419010519364 072414190105
19364 072414190105Cleontrc23
 
Matlab code for crout method
Matlab code for crout methodMatlab code for crout method
Matlab code for crout method
Taimoor Muzaffar Gondal
 
Brendan_Salmond_Resume_2015_V4
Brendan_Salmond_Resume_2015_V4Brendan_Salmond_Resume_2015_V4
Brendan_Salmond_Resume_2015_V4Brendan Salmond
 
project presentation
project presentationproject presentation
project presentationVishesh Gupta
 
LinkedIn Slide presentation_DSTL_179
LinkedIn Slide presentation_DSTL_179LinkedIn Slide presentation_DSTL_179
LinkedIn Slide presentation_DSTL_179Winson Lam, Ph.D.
 
Brainstorming and MATLAB report
Brainstorming and MATLAB reportBrainstorming and MATLAB report
Brainstorming and MATLAB reportTommy Reynolds
 
Implementing HDF5 in MATLAB
Implementing HDF5 in MATLABImplementing HDF5 in MATLAB
Implementing HDF5 in MATLAB
The HDF-EOS Tools and Information Center
 
Mechanical design of mems gyroscopes
Mechanical design of mems gyroscopesMechanical design of mems gyroscopes
Mechanical design of mems gyroscopesAhmed El-Sayed
 
Interactives Methods
Interactives MethodsInteractives Methods
Interactives MethodsUIS
 
Ijmet 06 08_005
Ijmet 06 08_005Ijmet 06 08_005
Ijmet 06 08_005
IAEME Publication
 
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
IAEME Publication
 
One dim, steady-state, heat conduction_with_heat_generation
One dim, steady-state, heat conduction_with_heat_generationOne dim, steady-state, heat conduction_with_heat_generation
One dim, steady-state, heat conduction_with_heat_generation
tmuliya
 

Viewers also liked (20)

Numerical methods for 2 d heat transfer
Numerical methods for 2 d heat transferNumerical methods for 2 d heat transfer
Numerical methods for 2 d heat transfer
 
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
Analysis of hydrodynamic fixed pad bearing to reduce vibration by replacing f...
 
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
Thermohydrodynamic analysis of plain journal bearing with modified viscosity ...
 
lecture notes on Bearings
lecture notes on Bearingslecture notes on Bearings
lecture notes on Bearings
 
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
A Project on Pressure and temperature analysis of tilted pad thrust bearing u...
 
PERFORMANCE ANALYSIS OF GAS LUBRICATED CYLINDRICAL JOURNAL BEARING USING FS...
PERFORMANCE ANALYSIS OF GAS LUBRICATED  CYLINDRICAL JOURNAL BEARING  USING FS...PERFORMANCE ANALYSIS OF GAS LUBRICATED  CYLINDRICAL JOURNAL BEARING  USING FS...
PERFORMANCE ANALYSIS OF GAS LUBRICATED CYLINDRICAL JOURNAL BEARING USING FS...
 
Proyecto diseño ambiental
Proyecto diseño ambientalProyecto diseño ambiental
Proyecto diseño ambiental
 
19364 072414190105
19364 07241419010519364 072414190105
19364 072414190105
 
Matlab code for crout method
Matlab code for crout methodMatlab code for crout method
Matlab code for crout method
 
Brendan_Salmond_Resume_2015_V4
Brendan_Salmond_Resume_2015_V4Brendan_Salmond_Resume_2015_V4
Brendan_Salmond_Resume_2015_V4
 
project presentation
project presentationproject presentation
project presentation
 
LinkedIn Slide presentation_DSTL_179
LinkedIn Slide presentation_DSTL_179LinkedIn Slide presentation_DSTL_179
LinkedIn Slide presentation_DSTL_179
 
Brainstorming and MATLAB report
Brainstorming and MATLAB reportBrainstorming and MATLAB report
Brainstorming and MATLAB report
 
Implementing HDF5 in MATLAB
Implementing HDF5 in MATLABImplementing HDF5 in MATLAB
Implementing HDF5 in MATLAB
 
Mechanical design of mems gyroscopes
Mechanical design of mems gyroscopesMechanical design of mems gyroscopes
Mechanical design of mems gyroscopes
 
Interactives Methods
Interactives MethodsInteractives Methods
Interactives Methods
 
Ijmet 06 08_005
Ijmet 06 08_005Ijmet 06 08_005
Ijmet 06 08_005
 
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
COMPARATIVE STUDY OF FULL JOURNAL BEARING WITH BIO LUBRICANTS – JATROPHA OIL,...
 
Mechanics 3
Mechanics 3Mechanics 3
Mechanics 3
 
One dim, steady-state, heat conduction_with_heat_generation
One dim, steady-state, heat conduction_with_heat_generationOne dim, steady-state, heat conduction_with_heat_generation
One dim, steady-state, heat conduction_with_heat_generation
 

Recently uploaded

Quarkus Hidden and Forbidden Extensions
Quarkus Hidden and Forbidden ExtensionsQuarkus Hidden and Forbidden Extensions
Quarkus Hidden and Forbidden Extensions
Max Andersen
 
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERRORTROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
Tier1 app
 
SOCRadar Research Team: Latest Activities of IntelBroker
SOCRadar Research Team: Latest Activities of IntelBrokerSOCRadar Research Team: Latest Activities of IntelBroker
SOCRadar Research Team: Latest Activities of IntelBroker
SOCRadar
 
Cracking the code review at SpringIO 2024
Cracking the code review at SpringIO 2024Cracking the code review at SpringIO 2024
Cracking the code review at SpringIO 2024
Paco van Beckhoven
 
BoxLang: Review our Visionary Licenses of 2024
BoxLang: Review our Visionary Licenses of 2024BoxLang: Review our Visionary Licenses of 2024
BoxLang: Review our Visionary Licenses of 2024
Ortus Solutions, Corp
 
Large Language Models and the End of Programming
Large Language Models and the End of ProgrammingLarge Language Models and the End of Programming
Large Language Models and the End of Programming
Matt Welsh
 
How Recreation Management Software Can Streamline Your Operations.pptx
How Recreation Management Software Can Streamline Your Operations.pptxHow Recreation Management Software Can Streamline Your Operations.pptx
How Recreation Management Software Can Streamline Your Operations.pptx
wottaspaceseo
 
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
Globus
 
Graphic Design Crash Course for beginners
Graphic Design Crash Course for beginnersGraphic Design Crash Course for beginners
Graphic Design Crash Course for beginners
e20449
 
top nidhi software solution freedownload
top nidhi software solution freedownloadtop nidhi software solution freedownload
top nidhi software solution freedownload
vrstrong314
 
Orion Context Broker introduction 20240604
Orion Context Broker introduction 20240604Orion Context Broker introduction 20240604
Orion Context Broker introduction 20240604
Fermin Galan
 
Globus Compute wth IRI Workflows - GlobusWorld 2024
Globus Compute wth IRI Workflows - GlobusWorld 2024Globus Compute wth IRI Workflows - GlobusWorld 2024
Globus Compute wth IRI Workflows - GlobusWorld 2024
Globus
 
Using IESVE for Room Loads Analysis - Australia & New Zealand
Using IESVE for Room Loads Analysis - Australia & New ZealandUsing IESVE for Room Loads Analysis - Australia & New Zealand
Using IESVE for Room Loads Analysis - Australia & New Zealand
IES VE
 
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, BetterWebinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
XfilesPro
 
May Marketo Masterclass, London MUG May 22 2024.pdf
May Marketo Masterclass, London MUG May 22 2024.pdfMay Marketo Masterclass, London MUG May 22 2024.pdf
May Marketo Masterclass, London MUG May 22 2024.pdf
Adele Miller
 
Developing Distributed High-performance Computing Capabilities of an Open Sci...
Developing Distributed High-performance Computing Capabilities of an Open Sci...Developing Distributed High-performance Computing Capabilities of an Open Sci...
Developing Distributed High-performance Computing Capabilities of an Open Sci...
Globus
 
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoamOpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
takuyayamamoto1800
 
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
Globus
 
Accelerate Enterprise Software Engineering with Platformless
Accelerate Enterprise Software Engineering with PlatformlessAccelerate Enterprise Software Engineering with Platformless
Accelerate Enterprise Software Engineering with Platformless
WSO2
 
AI Pilot Review: The World’s First Virtual Assistant Marketing Suite
AI Pilot Review: The World’s First Virtual Assistant Marketing SuiteAI Pilot Review: The World’s First Virtual Assistant Marketing Suite
AI Pilot Review: The World’s First Virtual Assistant Marketing Suite
Google
 

Recently uploaded (20)

Quarkus Hidden and Forbidden Extensions
Quarkus Hidden and Forbidden ExtensionsQuarkus Hidden and Forbidden Extensions
Quarkus Hidden and Forbidden Extensions
 
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERRORTROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
TROUBLESHOOTING 9 TYPES OF OUTOFMEMORYERROR
 
SOCRadar Research Team: Latest Activities of IntelBroker
SOCRadar Research Team: Latest Activities of IntelBrokerSOCRadar Research Team: Latest Activities of IntelBroker
SOCRadar Research Team: Latest Activities of IntelBroker
 
Cracking the code review at SpringIO 2024
Cracking the code review at SpringIO 2024Cracking the code review at SpringIO 2024
Cracking the code review at SpringIO 2024
 
BoxLang: Review our Visionary Licenses of 2024
BoxLang: Review our Visionary Licenses of 2024BoxLang: Review our Visionary Licenses of 2024
BoxLang: Review our Visionary Licenses of 2024
 
Large Language Models and the End of Programming
Large Language Models and the End of ProgrammingLarge Language Models and the End of Programming
Large Language Models and the End of Programming
 
How Recreation Management Software Can Streamline Your Operations.pptx
How Recreation Management Software Can Streamline Your Operations.pptxHow Recreation Management Software Can Streamline Your Operations.pptx
How Recreation Management Software Can Streamline Your Operations.pptx
 
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
Innovating Inference - Remote Triggering of Large Language Models on HPC Clus...
 
Graphic Design Crash Course for beginners
Graphic Design Crash Course for beginnersGraphic Design Crash Course for beginners
Graphic Design Crash Course for beginners
 
top nidhi software solution freedownload
top nidhi software solution freedownloadtop nidhi software solution freedownload
top nidhi software solution freedownload
 
Orion Context Broker introduction 20240604
Orion Context Broker introduction 20240604Orion Context Broker introduction 20240604
Orion Context Broker introduction 20240604
 
Globus Compute wth IRI Workflows - GlobusWorld 2024
Globus Compute wth IRI Workflows - GlobusWorld 2024Globus Compute wth IRI Workflows - GlobusWorld 2024
Globus Compute wth IRI Workflows - GlobusWorld 2024
 
Using IESVE for Room Loads Analysis - Australia & New Zealand
Using IESVE for Room Loads Analysis - Australia & New ZealandUsing IESVE for Room Loads Analysis - Australia & New Zealand
Using IESVE for Room Loads Analysis - Australia & New Zealand
 
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, BetterWebinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
Webinar: Salesforce Document Management 2.0 - Smarter, Faster, Better
 
May Marketo Masterclass, London MUG May 22 2024.pdf
May Marketo Masterclass, London MUG May 22 2024.pdfMay Marketo Masterclass, London MUG May 22 2024.pdf
May Marketo Masterclass, London MUG May 22 2024.pdf
 
Developing Distributed High-performance Computing Capabilities of an Open Sci...
Developing Distributed High-performance Computing Capabilities of an Open Sci...Developing Distributed High-performance Computing Capabilities of an Open Sci...
Developing Distributed High-performance Computing Capabilities of an Open Sci...
 
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoamOpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
OpenFOAM solver for Helmholtz equation, helmholtzFoam / helmholtzBubbleFoam
 
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
Exploring Innovations in Data Repository Solutions - Insights from the U.S. G...
 
Accelerate Enterprise Software Engineering with Platformless
Accelerate Enterprise Software Engineering with PlatformlessAccelerate Enterprise Software Engineering with Platformless
Accelerate Enterprise Software Engineering with Platformless
 
AI Pilot Review: The World’s First Virtual Assistant Marketing Suite
AI Pilot Review: The World’s First Virtual Assistant Marketing SuiteAI Pilot Review: The World’s First Virtual Assistant Marketing Suite
AI Pilot Review: The World’s First Virtual Assistant Marketing Suite
 

Solving laplace equation using gauss seidel method in matlab