Comparing numerical methods for solving fourth-order boundary value problems

Vedat Suat Ertürk; Shaher Momani

doi:10.1016/j.amc.2006.11.075

Comparing numerical methods for solving fourth-order boundary value problems

Vedat Suat Ertürk
, Shaher Momani

Ondokuz Mayis University
University of Mutah

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

63 Scopus citations

Abstract

In this study, we present a numerical comparison between differential transform method and the Adomian decomposition method for solving fourth-order boundary value problems. Three examples are given. The numerical results reveal that differential transform method is very efficient and accurate.

Original language	English
Pages (from-to)	1963-1968
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	188
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.11.075
State	Published - 15 May 2007
Externally published	Yes

Keywords

Adomian decomposition method
BVPs
Differential transform method
Taylor series

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10.1016/j.amc.2006.11.075

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title = "Comparing numerical methods for solving fourth-order boundary value problems",

abstract = "In this study, we present a numerical comparison between differential transform method and the Adomian decomposition method for solving fourth-order boundary value problems. Three examples are given. The numerical results reveal that differential transform method is very efficient and accurate.",

keywords = "Adomian decomposition method, BVPs, Differential transform method, Taylor series",

author = "Ert{\"u}rk, \{Vedat Suat\} and Shaher Momani",

year = "2007",

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AU - Momani, Shaher

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N2 - In this study, we present a numerical comparison between differential transform method and the Adomian decomposition method for solving fourth-order boundary value problems. Three examples are given. The numerical results reveal that differential transform method is very efficient and accurate.

AB - In this study, we present a numerical comparison between differential transform method and the Adomian decomposition method for solving fourth-order boundary value problems. Three examples are given. The numerical results reveal that differential transform method is very efficient and accurate.

KW - Adomian decomposition method

KW - BVPs

KW - Differential transform method

KW - Taylor series

UR - https://www.scopus.com/pages/publications/34248188092

U2 - 10.1016/j.amc.2006.11.075

DO - 10.1016/j.amc.2006.11.075

M3 - Article

AN - SCOPUS:34248188092

SN - 0096-3003

VL - 188

SP - 1963

EP - 1968

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Comparing numerical methods for solving fourth-order boundary value problems

Abstract

Keywords

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