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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
| 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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