4.6 Article

An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs

Journal

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 68, Issue 4, Pages 2787-2802

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s12190-021-01642-6

Keywords

Initial-boundary value problem; Adomian decomposition method; Adomian polynomials; Emden-Fowler equation; Thomas-Fermi equation; Bratu equation; Troesch equation

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This paper explores an interesting variation of the modified decomposition method to determine the solutions of nonlinear initial-boundary value problems for second-order ordinary differential equations found in physics, such as the Thomas-Fermi, Bratu, and Troesch equations.
This paper considers an interesting variation of the modified decomposition method, which permits determination of the solution of nonlinear initial-boundary value problems for second-order ODEs appearing in physics such as the Thomas-Fermi, Bratu and Troesch equations.

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