Adomian decomposition method with Chebyshev polynomials. (English) Zbl 1093.65073

Hosseini, M. M.

Appl. Math. Comput. 175, No. 2, 1685-1693 (2006).

Summary: An efficient modification of the Adomian decomposition method is presented by using Chebyshev polynomials. The proposed method can be applied to linear and nonlinear models. The scheme is tested for some examples and the obtained results demonstrate reliability and efficiency of the proposed method.

MSC:

65L10	Numerical solution of boundary value problems involving ordinary differential equations
65L60	Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

Adomian decomposition method; Chebyshev polynomials; numerical examples

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