Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
513140 | Engineering Analysis with Boundary Elements | 2012 | 13 Pages |
Abstract
In this paper, an effective numerical method for solving nonlinear Volterra partial integro-differential equations is proposed. These equations include the partial differentiations of an unknown function and the integral term containing the unknown function which is the “memory” of problem. This method is based on radial basis functions (RBFs) and finite difference method (FDM) which provide the approximate solution. These techniques play the important role to reduce a nonlinear partial integro-differential equation to a linear system of equations. Some illustrative examples are shown to describe the method. Numerical examples confirm the validity and efficiency of the presented method.
Related Topics
Physical Sciences and Engineering
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Computer Science Applications
Authors
Z. Avazzadeh, Z. Beygi Rizi, F.M. Maalek Ghaini, G.B. Loghmani,