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Volume & Issue no: Volume 6, Issue 8, August 2017

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Title:
Approximate solution to korteweg _ de vries (Kdv) equation by initial condition of Adomian decomposition method
Author Name:
A. M. Ayal, Ahmed Ismail Mohammed
Abstract:
ABSTRACT Recently, Adomian decomposition has become an important method of interest. This paper suggests robust solution of korteweg-de vries (Kdv) equation with initial condition suitableby using Adomian decomposition. We primarily evaluate advantage of this method to avoid simplifications and restrictions which change the non-linear problem to mathematically tractable one. Our work primarily depends on robust solution but it is not consistent with physical solution; substantial changes to those methods achieve results that are competitive with prior state-of-the-art methods. The exact solution obtains as a special case according to the initial condition. Keywords: Adomian Decomposition method, Kinematic wave equation.
Cite this article:
A. M. Ayal, Ahmed Ismail Mohammed , " Approximate solution to korteweg _ de vries (Kdv) equation by initial condition of Adomian decomposition method" , International Journal of Application or Innovation in Engineering & Management (IJAIEM) , Volume 6, Issue 8, August 2017 , pp. 019-022 , ISSN 2319 - 4847.
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