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**The homotopy analysis method for solving higher dimensional initial boundary value problems of variable coefficients.**
*(English)*
Zbl 1197.65151

Summary: Higher dimensional initial boundary value problems with variable coefficients are solved by means of an analytic technique, namely the homotopy analysis method. Comparisons are made between the Adomian decomposition method, the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple.

### MSC:

65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |

35Q53 | KdV equations (Korteweg-de Vries equations) |

### Keywords:

Adomian decomposition method; higher dimensional initial boundary value problems of variable coefficients; homotopy analysis method; homotopy perturbation method; comparison of methods
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\textit{H. Jafari} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1021--1032 (2010; Zbl 1197.65151)

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DOI

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