Presentation on
Gauss Forward And Backward Central
Difference Interpolation Formula
 Presented By :
• Deep Dalsania
(160350116002)
• Jhanvi Ghediya
(160350116003)
• Rakesh Talaviya
(160350116010)
• Drashti Bangoriya
(160350116001)
• Bhakti Tank
(160350116011)
• Subject Name: Numerical and
Statistical Methods For Computer
Engineering
• Subject Code: 2140706
• Submitted To:
Prof. Dipesh Bhogayata Sir
INTERPOLATION
• The process of finding the curve passing through the points
is called as Interpolation.
INTERPOLATION
EQUAL INTERVAL UNEQUAL INTERVAL
NEWTOWN AND GAUSS
INTERPOLATION
LAGRANGES INTERPOLATION
Gauss Forward Central Difference Formula
X Y Δ Δ2 Δ3 Δ4
X-2 Y-2
ΔY-2
X-2 Y-1 Δ2Y-2
ΔY-1 Δ3Y-2
X0 Y0 Δ2Y-1 Δ4Y-2
ΔY0 Δ3Y-1
X1 Y1 Δ2Y0
ΔY1
X2 Y2
Gauss Backward Central Difference Formula
X Y Δ Δ2 Δ3 Δ4
X-2 Y-2
ΔY-2
X-2 Y-1 Δ2Y-2
ΔY-1 Δ3Y-2
X0 Y0 Δ2Y-1 Δ4Y-2
ΔY0 Δ3Y-1
X1 Y1 Δ2Y0
ΔY1
X2 Y2

Gauss Forward And Backward Central Difference Interpolation Formula

  • 1.
    Presentation on Gauss ForwardAnd Backward Central Difference Interpolation Formula  Presented By : • Deep Dalsania (160350116002) • Jhanvi Ghediya (160350116003) • Rakesh Talaviya (160350116010) • Drashti Bangoriya (160350116001) • Bhakti Tank (160350116011) • Subject Name: Numerical and Statistical Methods For Computer Engineering • Subject Code: 2140706 • Submitted To: Prof. Dipesh Bhogayata Sir
  • 2.
    INTERPOLATION • The processof finding the curve passing through the points is called as Interpolation. INTERPOLATION EQUAL INTERVAL UNEQUAL INTERVAL NEWTOWN AND GAUSS INTERPOLATION LAGRANGES INTERPOLATION
  • 3.
    Gauss Forward CentralDifference Formula
  • 4.
    X Y ΔΔ2 Δ3 Δ4 X-2 Y-2 ΔY-2 X-2 Y-1 Δ2Y-2 ΔY-1 Δ3Y-2 X0 Y0 Δ2Y-1 Δ4Y-2 ΔY0 Δ3Y-1 X1 Y1 Δ2Y0 ΔY1 X2 Y2
  • 5.
    Gauss Backward CentralDifference Formula
  • 6.
    X Y ΔΔ2 Δ3 Δ4 X-2 Y-2 ΔY-2 X-2 Y-1 Δ2Y-2 ΔY-1 Δ3Y-2 X0 Y0 Δ2Y-1 Δ4Y-2 ΔY0 Δ3Y-1 X1 Y1 Δ2Y0 ΔY1 X2 Y2