Your Cart

Your cart is empty

Home  >  Volume 31 (July 2015)

On Application of Differential Transform Method: A Modified Approach to Solution of Certain KdV Equations by M. I. Modebei1, I. Otaide, O.O. Olaiya, E. J. Ejiofor (Pages 255-262)
Sale price: $5.00


In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non-linear partial differential equation whose solutions can be exactly and precisely specified. In this paper, we proposed the method of differential transform with a modified approach using the wave variable to obtain analytic solution of the KdV equation. This method helps to reduce minimally the enormous amount of mathematical computation in solving such kind of problem, and thus shows the efficiency of the method.

    Keywords: Wave variables, KdV equation, Differential Transform Method (DTM), Tailor series, Differential     Equations.