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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Numerical solution for nonlocal Sobolev-type Differential Equations.
by
Shruti A. Dubey
Laboratoire d’Analyse et d’Architecture des Systmes du CNRS, Toulouse, France

In this work, a numerical approximate solution of Sobolev-type differential equation with nonlocal initial boundary conditions is obtained. In particular, Laplace transform method is described for the solution of considered equation. Following Laplace transform of the original problem, an appropriate method of solving differential equations is used to solve the resultant time-independent modified equation and solution is inverted numerically back into the time domain. Some numerical results are presented to show the accuracy of the proposed method.

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Date received: February 14, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-38.