Applications of He's principles to partial differential equations

作者：Mohamad Jawad Anwar Ja'afar; Petkovic Marko D; Biswas Anjan^*

来源：Applied Mathematics and Computation, 2011, 217(16): 7039-7047.

DOI：10.1016/j.amc.2011.02.013

• Variational iteration method
• Semi-inverse variational principle
• Gas dynamics equation
• Heat transfer equation
• Peregrine equation
• Burgers equation

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.

• 出版日期2011-4-15