Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation

Subject Areas : Operation Research

Iyaya Wanjala ¹

1 - School of Physical and Applied Science, Kenyatta University P.O BOX 43844-0010, Nairobi, Kenya

Received: 2015-08-30 Accepted : 2015-08-30 Published : 2010-06-01

Keywords: Adomian decomposition method, Singular Cauchy problem,

Abstract :

n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem.

References:

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[3] Carroll R., and Showalter R.,” Singular and Degenerate Cauchy Problems”. Academic Press, New York, Vol.127-p 333, 1976.

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