A new algorithm for calculating Adomian polynomials for nonlinear operators. (English) Zbl 1023.65108

Wazwaz, Abdul-Majid

Appl. Math. Comput. 111, No. 1, 53-69 (2000).

Summary: A reliable technique for calculating Adomian polynomials for nonlinear operators will be developed. The new algorithm offers a promising approach for calculating Adomian polynomials for all forms of nonlinearity. The algorithm will be illustrated by studying suitable forms of nonlinearity. A nonlinear evolution model will be investigated.

MSC:

65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53	KdV equations (Korteweg-de Vries equations)
35K90	Abstract parabolic equations

Keywords:

Burgers equation; Adomian decomposition method; Adomian polynomials; nonlinear operators; nonlinear evolution equation; algorithm

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