Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines

Affiliation(s)

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Faculty of Education, Universiti Teknologi Malaysia, Johor, Malaysia.

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Faculty of Education, Universiti Teknologi Malaysia, Johor, Malaysia.

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.

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.

Cite this paper

H. Gherjalar and H. Mohammadikia, "Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines,"*Applied Mathematics*, Vol. 3 No. 12, 2012, pp. 1940-1944. doi: 10.4236/am.2012.312265.

H. Gherjalar and H. Mohammadikia, "Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines,"

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