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Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Faculty of Education, Universiti Teknologi Malaysia, Johor, Malaysia
- 1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
- 2 Faculty of Education, Universiti Teknologi Malaysia, Johor, Malaysia
Applied Mathematics·Volume 03 (2012)·Pages 1940–1944·Published 12 December 2012·DOI10.4236/am.2012.312265
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Abstract
This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to functional integral and integro-differential equations. For showing efficiency of the method we give some numerical examples.
KeywordsLagrange InterpolationB-Spline FunctionsFunctional Integral EquationFunctional Integro-Differential EquationFunctional Differential Equation
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