Commenced in January 2007
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Edition: International
Paper Count: 2

adomian polynomials Related Publications

2 Numerical Solution of Volterra Integro-differential Equations of Fractional Order by Laplace Decomposition Method

Authors: Changqing Yang, Jianhua Hou

Abstract:

In this paper the Laplace Decomposition method is developed to solve linear and nonlinear fractional integro- differential equations of Volterra type.The fractional derivative is described in the Caputo sense.The Laplace decomposition method is found to be fast and accurate.Illustrative examples  are included to demonstrate the validity and applicability of presented technique and comparasion is made with exacting results.

Keywords: fractional derivative, Laplace transform, integro-differential equations, adomian polynomials, pade appoximants

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1 Laplace Adomian Decomposition Method Applied to a Two-Dimensional Viscous Flow with Shrinking Sheet

Authors: M. A. Koroma, A. F. Kamara, S. Widatalla, C. Zhang

Abstract:

Our aim in this piece of work is to demonstrate the power of the Laplace Adomian decomposition method (LADM) in approximating the solutions of nonlinear differential equations governing the two-dimensional viscous flow induced by a shrinking sheet.

Keywords: shrinking sheet, adomian polynomials, Padé approximant, Laplace Adomian decomposition method

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