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Journal cover: Engineering Computations

Engineering Computations

ISSN: 0264-4401

Online from: 1984

Subject Area: Mechanical & Materials Engineering

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Numerical solution of time-fraction modified equal width wave equation


Document Information:
Title:Numerical solution of time-fraction modified equal width wave equation
Author(s):Mehmet Merdan, (Department of Geomatics Engineering, Gümüshane University, Gümüshane, Turkey), Ahmet Yildirim, (Department of Mathematics, Ege University, Izmir, Turkey), Ahmet Gökdogan, (Department of Software Engineering, Gümüshane University, Gümüshane, Turkey)
Citation:Mehmet Merdan, Ahmet Yildirim, Ahmet Gökdogan, (2012) "Numerical solution of time-fraction modified equal width wave equation", Engineering Computations, Vol. 29 Iss: 7, pp.766 - 777
Keywords:Caputo derivative, Differential equations, Mathematical analysis, Time-fraction modified equal width wave equation, Transforms, Two dimensional differential transformation method
Article type:Research paper
DOI:10.1108/02644401211257254 (Permanent URL)
Publisher:Emerald Group Publishing Limited
Abstract:

Purpose – The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave (MEW) equation.

Design/methodology/approach – The fractional derivative is described in the Caputo sense.

Findings – It is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations.

Originality/value – The paper shows that exact solutions can also be obtained from the known forms of the series solutions.



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