A reliable algorithm for solving fourth-order boundary value problems

Shaher Momani; Khaled Moadi

doi:10.1007/BF02832046

A reliable algorithm for solving fourth-order boundary value problems

Shaher Momani
, Khaled Moadi

University of Mutah

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we present an efficient numerical algorithm for approximate solutions of fourth-order boundary values problems with twopoint boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The scheme is tested on one linear problem and two nonlinear problems. The obtained results demonstrate the applicability and efficiency of the proposed scheme.

Original language	English
Pages (from-to)	185-197
Number of pages	13
Journal	Journal of Applied Mathematics and Computing
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/BF02832046
State	Published - Oct 2006
Externally published	Yes

Keywords

Fourth-order BVP
decomposition method
numerical solution

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10.1007/BF02832046

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title = "A reliable algorithm for solving fourth-order boundary value problems",

abstract = "In this paper, we present an efficient numerical algorithm for approximate solutions of fourth-order boundary values problems with twopoint boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The scheme is tested on one linear problem and two nonlinear problems. The obtained results demonstrate the applicability and efficiency of the proposed scheme.",

keywords = "Fourth-order BVP, decomposition method, numerical solution",

author = "Shaher Momani and Khaled Moadi",

year = "2006",

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T1 - A reliable algorithm for solving fourth-order boundary value problems

AU - Momani, Shaher

AU - Moadi, Khaled

PY - 2006/10

Y1 - 2006/10

N2 - In this paper, we present an efficient numerical algorithm for approximate solutions of fourth-order boundary values problems with twopoint boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The scheme is tested on one linear problem and two nonlinear problems. The obtained results demonstrate the applicability and efficiency of the proposed scheme.

AB - In this paper, we present an efficient numerical algorithm for approximate solutions of fourth-order boundary values problems with twopoint boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The scheme is tested on one linear problem and two nonlinear problems. The obtained results demonstrate the applicability and efficiency of the proposed scheme.

KW - Fourth-order BVP

KW - decomposition method

KW - numerical solution

UR - https://www.scopus.com/pages/publications/84867967640

U2 - 10.1007/BF02832046

DO - 10.1007/BF02832046

M3 - Article

AN - SCOPUS:84867967640

SN - 1598-5865

VL - 22

SP - 185

EP - 197

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 3

ER -

A reliable algorithm for solving fourth-order boundary value problems

Abstract

Keywords

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