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.
Highlights
In recent years there has been a growing interest in the numerical treatment of the functional differential equations, a0 y x a1y h x b0 y x b1y h x (1) g xRashed introduced new interpolation method for functional integral equations and functional integro-differential equations [5]
This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type
In the third section we give our method for functional integral equations
Summary
In recent years there has been a growing interest in the numerical treatment of the functional differential equations, a0 y x a1y h x b0 y x b1y h x (1). Rashed introduced new interpolation method for functional integral equations and functional integro-differential equations [5]. In this paper we approximate the numerical solution yn x of the following functional integral equations and integro-differential equations: y. In the third section we give our method for functional integral equations. MOHAMMADIKIA voted to numerical solution of integro-differential equations. For computing integrals both in the third and the fourth section we used Clenshaw-Curtis rule [10,11]. In the latest section we give some applications of both functional integral equations and integro differential equations with numerical solutions.
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