Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions

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Abstract:

In this paper, the two-dimensional triangular orthogonal functions (2D-TFs) are applied for solving a class of nonlinear two-dimensional Volterra integral equations. 2D-TFs method transforms these integral equations into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the results with the other numerical methods.

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Journal title

volume 1  issue Issue 1

pages  28- 40

publication date 2013-05-01

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