Numerical Approximation for Third Order Korteweg-De Vries (KDV) Equation

Adesina Adio


In this paper, Natural transform and Homotopy perturbation methods are coupled to study third order Korteweg-De Vries (KDV) equation analytically. The introduced technique is useful to obtain closed form solutions. The combined method required less computational effort when compared with some existing methods and reduced volume of calculations. Three illustrative examples are used to demonstrate the effectiveness of the method.


Homotopy perturbation method; Korteweg-De Vries Equation; Natural transform method.

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