Virtual Product Development

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The passage discusses the importance of teaching children social and emotional skills at a young age. It notes that developing skills like self-control, communication, and relationship building can help children succeed in school and life. The author argues that focusing on more than just academics is key to helping children grow into well-adjusted and responsible adults.

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To analyze and modify manufacturing process in virtual environments, mathematical modelling can be used. Effects and behavior of the system are simulated by mathematical concepts in order to be analyzed and modified. So, different parameters of the process can be analyzed in order to be optimized. Thus, efficiency of part production can be increased by applying optimization methods to the simulated manufacturing process in virtual environments. Modification can also be presented to the simulated system in virtual environments by analyzing and decreasing errors of manufacturing process. Therefore, accuracy of produced parts can be increased in order to improve efficiency of part production. Overall, mathematical modelling can develop manufacturing process by providing analysis abilities in virtual environments.

Application of Mathematical Modelling to Virtual Manufacturing

Mohsen Soori

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In the present work, we use the homotopy perturbation method (HPM) to solve the Newell- Whitehead-Segel non-linear differential equations. Four case study problems of Newell-Whitehead- Segel are solved by the HPM and the exact solutions are obtained. The trend of the rapid convergence of the sequences constructed by the method toward the exact solution is shown numerically. As a result the rapid convergence towards the exact solutions of HPM indicates that, using the HPM to solve the Newell-Whitehead-Segel non-linear differential equations, a reasonable less amount of computational work with acceptable accuracy may be sufficient. Moreover the application of the HPM proves that the method is an effective and simple tool for solving the Newell-Whitehead-Segel non-linear differential equations

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