Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem

Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem

Mean value theorems for both derivatives and integrals are very useful tools in mathematics. They can be used to obtain very important inequalities and to prove basic theorems of mathematical analysis. In this article, a semi-analytical method that is based on weighted mean-value theorem for obtaining solutions for a wide class of Fredholm integral equations of the second kind is introduced. Il...

Numerical solution of Fredholm integral equations of the second kind by using fuzzy transforms

In this paper, we introduce an approach by using inverse fuzzy transforms based on the fuzzy partition with combination in collocation technique for the numerical solution of Fredholm integral equations of the second kind. The main advantage of this approach is to reduce the problem to the linear system of equations. We present the convergence theorem for this method. Finally, we give two examp...

Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method

Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method

In this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method.

Numerical Solution of Second Kind Linear Fredholm Integral Equations via Quarter- Sweep Arithmetic Mean Iterative Method

In previous studies, the concept of quarter-sweep iteration has been pointed out to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations. Based on the same concept, the essential aim of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) method by using the quarter-sweep approximation equation...