Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
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Abstract:
The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions. The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation. Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and Newton-Kantorovitch method. Numerical tests for demonstrating the accuracy of the method is included.
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Journal title
volume 7 issue 1
pages 63- 69
publication date 2015-01-01
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