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Chun, Changbum; Jafari, Hossein; Kim, Yong-Il

Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. (English) Zbl 1186.65138

Comput. Math. Appl. 57, No. 7, 1226-1231 (2009).
Summary: The homotopy perturbation method and a modified homotopy perturbation method are used for analytical treatment of the wave equation and some nonlinear diffusion equations, respectively. Some examples are given to illustrate that a suitable choice of an initial solution can lead to the exact solution, this revealing the reliability and effectiveness of the method.

Cited in 11 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Keywords:

homotopy perturbation method; He’s polynomials; wave equation; d’alembert formula; nonlinear diffusion equations; approximate analytical solution; exact solutions
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\textit{C. Chun} et al., Comput. Math. Appl. 57, No. 7, 1226--1231 (2009; Zbl 1186.65138)
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References:

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