The numerical solution of sixth-order boundary value problems by the modified decomposition method. (English) Zbl 1023.65074

Wazwaz, Abdul-Majid

Appl. Math. Comput. 118, No. 2-3, 311-325 (2001).

Summary: A fast and accurate algorithm is developed for the solution of sixth-order boundary value problems with two-point boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems. The scheme is tested on one linear and two nonlinear problems. The results demonstrate reliability and efficiency of the algorithm developed.

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
34B05	Linear boundary value problems for ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

numerical examples; algorithm; sixth-order boundary value problems; Adomian decomposition method

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