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Applications of He’s principles to partial differential equations |
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| Authors: | Anwar Ja’afar Mohamad-JawadMarko D Petkovi? Anjan Biswas |
| Institution: | a Department of Electrical Engineering, University of Technology, PO Box 35010, Baghdad-00964, Iraq b Faculty of Science and Mathematics, Department of Mathematics and Computer Science, University of Niš, Višegradska 33, 18000 Niš, Serbia c Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA |
| Abstract: | This paper applies the variational iteration method (VIM) and semi-inverse variational principle to obtain solutions of linear and nonlinear partial differential equations. The nonlinear model is considered from gas dynamics, fluid dynamics and Burgers equation. The linear model is the heat transfer (diffusion) equation. Results show that variational iteration method is a powerful mathematical tool for solving linear and nonlinear partial differential equations, and therefore, can be widely applied to engineering problems. |
| Keywords: | Variational iteration method Semi-inverse variational principle Gas dynamics equation Heat transfer equation Peregrine equation Burgers equation |
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