Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 5 (2010), 89 -- 98

HOMOTOPY ANALYSIS METHOD FOR SOLVING KDV EQUATIONS

Hossein Jafari and M. A. Firoozjaee

Abstract. A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy analysis method are compared with exact solution. The comparison shows that the obtained solutions are in excellent agreement.

2010 Mathematics Subject Classification: 35A35; 65M99.
Keywords: KDVB equation; Homotopy analysis method; Exact solution.

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Hossein Jafari M. A. Firoozjaee
Department of Mathematics and Computer Science, Department of Mathematics and Computer Science,
University of Mazandaran, University of Mazandaran,
Babolsar, Iran. Babolsar, Iran.
e-mail: jafari_h@math.com, jafari@umz.ac.ir e-mail: m64arab@math.com
http://www.umz.ac.ir/en/dynamic/dynamic.asp?Userid=1410

http://www.utgjiu.ro/math/sma