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Article

Differential Transform Technique for Solving Fifth-Order Boundary Value Problems

by
Vedat Suat Ertürk
1,* and
Shaher Momani
2,*
1
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Kurupelit, Samsun, Turkey
2
Department of Mathematics and Physics, Faculty of Arts and Sciences, Qatar University, Qatar
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2008, 13(2), 113-121; https://doi.org/10.3390/mca13020113
Published: 1 August 2008
Versions Notes

Abstract

In this paper we apply the differential transform method for solving fifthorder boundary value problems. The analytical and numerical results of the equations have been obtained in terms of convergent series with easily computable components. Three examples are given to illustrate the efficiency and implementation of the present method. Comparisons are made to confirm the reliability of the method. Differential transform technique may be considered as alternative and efficient for finding the approximate solutions of the boundary values problems.
Keywords: Fifth-order boundary value problems; Differential transform method;Numerical solution Fifth-order boundary value problems; Differential transform method;Numerical solution

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MDPI and ACS Style

Ertürk, V.S.; Momani, S. Differential Transform Technique for Solving Fifth-Order Boundary Value Problems. Math. Comput. Appl. 2008, 13, 113-121. https://doi.org/10.3390/mca13020113

AMA Style

Ertürk VS, Momani S. Differential Transform Technique for Solving Fifth-Order Boundary Value Problems. Mathematical and Computational Applications. 2008; 13(2):113-121. https://doi.org/10.3390/mca13020113

Chicago/Turabian Style

Ertürk, Vedat Suat, and Shaher Momani. 2008. "Differential Transform Technique for Solving Fifth-Order Boundary Value Problems" Mathematical and Computational Applications 13, no. 2: 113-121. https://doi.org/10.3390/mca13020113

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