Solution of Seventh Order Boundary Value Problems using Adomian Decomposition Method
Shahid S. Siddiqi, Muzammal Iftikhar
TL;DR
This paper applies the Adomian decomposition method to solve seventh order boundary value problems, providing rapid convergent series solutions without grid points, demonstrated through two numerical examples.
Contribution
The paper introduces an efficient application of the Adomian decomposition method for high-order boundary value problems, emphasizing its rapid convergence and implementation advantages.
Findings
Rapid convergence of the series solutions
Effective handling of seventh order boundary value problems
Successful numerical illustrations confirming efficiency
Abstract
Adomian decomposition method is used for solving the seventh order boundary value problems. The approximate solutions of the problems are calculated in the form of a rapid convergent series and not at grid points. Two numerical examples have been considered to illustrate the efficiency and implementation of the method.
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Taxonomy
TopicsFractional Differential Equations Solutions · Iterative Methods for Nonlinear Equations · Differential Equations and Numerical Methods