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Z. Naturforsch. 67a, 160 – 166 (2012)
doi:10.5560/ZNA.2012-0002
Application of Differential Transformation Method for Numerical Computation of Regularized Long Wave Equation
Babak Soltanalizadeh1 and Ahmet Yildirim2,3
1 Young Researchers Club, Sarab Branch, Islamic Azad University, Sarab, Iran
2 Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey
3 University of South Florida, Department of Mathematics and Statistics, Tampa, FL 33620-5700, USA
Received August 10, 2011 / revised November 18, 2011 / published online April 2, 2012
Reprint requests to: B. S.; E-mail: babak.soltanalizadeh@gmail.com
In this article, the differential transformation method (DTM) is utilized for finding the solution of the regularized long wave (RLW) equation. Not only the exact solutions have been achieved by the known forms of the series solutions, but also for the finite terms of series, and the corresponding numerical approximations have been computed.
Key words: Regularized Long Wave Equation; Differential Transformation Method; Nonlinear Partial Differential Equations; Closed-Form Solution.
Mathematics Subject Classification 2000: 35G25; 35Q90
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