solving a class of nonlinear two-dimensional volterra integral equations by using two-dimensional triangular orthogonal functions

Authors

farshid mirzaee

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:
journal of mathematical modeling

Publisher: university of guilan

ISSN 2345-394X

volume 1

issue Issue 1 2013

Keywords

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