2016•Journal of the Nigerian Mathematical SocietyOpen access

A DOUBLE EXPONENTIAL SINC COLLOCATION METHOD FOR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

Eno D. John, Nkem Ogbonna

Abstract

A Sinc collocation method for numerical solution of Volterra-Fredholm integral equations of the second kind is developed by incorporating a variable transformation of double exponential order into the Sinc function expansion technique. The derived Sinc collocation formula is used to convert a Volterra-Fredholm integral equation defined on a finite interval into a set of algebraic equations. Numerical examples are presented to show the rapid convergence and exceptional accuracy of the method.

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Key concepts: Sinc function, Mathematics, Collocation method, Volterra integral equation, Integral equation, Algebraic equation, Fredholm integral equation, Double exponential function