A reliable algorithm for solving tenth-order boundary value problems

Vedat Suat Erturk; Shaher Momani

doi:10.1007/s11075-007-9093-3

A reliable algorithm for solving tenth-order boundary value problems

Vedat Suat Erturk
, Shaher Momani

Ondokuz Mayis University
University of Mutah

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

7 Scopus citations

Abstract

In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. Several illustrative examples are given to demonstrate the effectiveness of the present algorithm.

Original language	English
Pages (from-to)	147-158
Number of pages	12
Journal	Numerical Algorithms
Volume	44
Issue number	2
DOIs	https://doi.org/10.1007/s11075-007-9093-3
State	Published - Feb 2007
Externally published	Yes

Keywords

Boundary value problems of tenth-order
Differential transform method
Linear and non-linear problems

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10.1007/s11075-007-9093-3

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

abstract = "In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. Several illustrative examples are given to demonstrate the effectiveness of the present algorithm.",

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author = "Erturk, \{Vedat Suat\} and Shaher Momani",

year = "2007",

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AB - In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. Several illustrative examples are given to demonstrate the effectiveness of the present algorithm.

KW - Boundary value problems of tenth-order

KW - Differential transform method

KW - Linear and non-linear problems

UR - https://www.scopus.com/pages/publications/34250841161

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DO - 10.1007/s11075-007-9093-3

M3 - Article

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VL - 44

SP - 147

EP - 158

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 2

ER -

A reliable algorithm for solving tenth-order boundary value problems

Abstract

Keywords

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