Some Numerical Techniques For Solving Nonlinear Fredholm-Volterra Integral Equation

Abeer AL-Bugami; J. G. Al-Juaid

Abeer AL-Bugami Department of Mathematics, Faculty of Sciences,Taif University, KSA
J. G. Al-Juaid Department of Mathematics, Faculty of Sciences,Taif University, KSA

Keywords: nonlinear Fredholm -Volterra integral equation, system of nonlinear Fredholm integral equations, Trapezoidal Rule, Simpson's Rule, Romberg Integration

Abstract

in this paper, the existence and uniqueness of the solution of nonlinear Fredholm-Volterra integral equations is consider (NF-VIE) with continuous kernel, then we use a numerical method to reduce this type of equation to a system of Fredholm integral equation.Trapeziodal rule, Simpson rule,and Romberg integral
method are used to solve the Fredholm integral equation of the second kind with continuous kernel. The error
in each is calculated.

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