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Kaya, Doǧan; Yokus, Asif

A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. (English) Zbl 1070.65102

Appl. Math. Comput. 164, No. 3, 857-864 (2005).
Summary: We consider coupled higher-dimensional Burgers equations. We find periodic solutions to these equations using a modified Adomian’s decomposition method. We find both exact and numerical solutions. We compare the numerical solutions with corresponding analytical solutions. We also show the effectiveness of the method.

Cited in 9 Documents

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:

Coupled higher-dimensional Burgers equations; Modified Adomian decomposition method; Exact periodic solutions; Numerical examples
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\textit{D. Kaya} and \textit{A. Yokus}, Appl. Math. Comput. 164, No. 3, 857--864 (2005; Zbl 1070.65102)
Full Text: DOI

References:

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