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Biazar, J.; Ghazvini, H.

Homotopy perturbation method for solving hyperbolic partial differential equations. (English) Zbl 1155.65395

Comput. Math. Appl. 56, No. 2, 453-458 (2008).
Summary: This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations.
The procedure of the method is systematically illustrated. To give an extensive account of the method some examples are provided. The results derived by this method will be compared with the results of characteristics method. The results of homotopy perturbation method are of high accuracy, verifying that the method is very effective and promising.

Cited in 23 Documents

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems

Keywords:

hyperbolic partial differential equations; homotopy perturbation method; characteristics method; nonlinear functional equations
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\textit{J. Biazar} and \textit{H. Ghazvini}, Comput. Math. Appl. 56, No. 2, 453--458 (2008; Zbl 1155.65395)
Full Text: DOI

References:

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