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

Hesam-Eldien Derili Gherjalar, Hossein Mohammadikia

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Faculty of Education, Universiti Teknologi Malaysia, Johor, Malaysia.

DOI: 10.4236/am.2012.312265                

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.

Keywords

Lagrange Interpolation; B-Spline Functions; Functional Integral Equation; Functional Integro-Differential Equation; Functional Differential Equation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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