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

Authors

  • ENO D. JOHN DEPARTMENT OF GENERAL STUDIES AKWA IBOM POLYTECHNIC, IKOT OSURUA, NIGERIA
  • NKEM OGBONNA DEPARTMENT OF MATHEMATICS, MICHAEL OKPARA UNIVERSITY OF AGRICULTURE, UMUDIKE, ABIA STATE, NIGERIA.

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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Published

2017-01-28

How to Cite

JOHN, E. D., & OGBONNA, N. (2017). A DOUBLE EXPONENTIAL SINC COLLOCATION METHOD FOR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND. Journal of the Nigerian Mathematical Society, 35(3), 408–423. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/39

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