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

Iranian Journal of Optimization

مقاله 4، دوره 5، شماره 1، فروردین 2013، صفحه 405-411   

نوع مقاله: Research Paper

نویسنده

Iyaya C. C. Wanjala^*

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

چکیده

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. 

کلیدواژه‌ها

Adomian decomposition method؛ Singular Cauchy problem

مراجع

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

[4] Euler L.,” Institiones Calculi Integralis, III”. Petroli, 1770.

[5] Weinstein A., ”Sur le Proble’me de Cauchy pour1’ e’quation de poisson et 1’equationdes ondes.” Critical review, Paris, 234,2584-2585, 1952.

[6] Weinstein A.,” On the wave equation and the equation of Euler-Poisson-Darboux” Proceedings of the 5^th symp.App.Math;Amer.Math.Soc. McGraw-Hill,  New, 1954.