Numerical Solution of Integral Equations of Second Kind Based on Sinc Collocation Method with a Variable Transformation
Keywords:
Sinc function, Collocation method, Volterra-Fredholm integral equationsAbstract
A presentation of the sinc method to Volterra-Fredholm integral equations of the second kind is being considered in this paper. A single exponential transformation that relates the real line ”! and a finite arc G is used in conjunction with the sinc method to convert the Volterra-Fredholm integral equations of the second kind to algebraic equations. The deviation of the approximate solution obtained from the exact solution is measured in terms of the maximum absolute error between them at sinc points. The exceptional accuracy of the method is illustrated with numerical examples.
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