A new modification of Adomian decomposition method for solving a kind of evolution equation. (English) Zbl 1121.65355

Jin, Chengri; Liu, Mingzhu

Appl. Math. Comput. 169, No. 2, 953-962 (2005).

Summary: We propose a new modification of Adomian decomposition method for solving a kind of evolution equation. The modification will improve the convergence of the series solution. The validity of the modified technique is verified through illustrative examples.

MSC:

65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K30	Initial value problems for higher-order parabolic equations
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Keywords:

Evolution equation; Convergence; Numerical examples

References:

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