Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods

Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions

In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of...

Numerical Methods for Solving Linear and Nonlinear Volterra-Fredholm Integral Equations by using CAS Wavelets

In this paper, a new approach to the numerical solution of VolterraFredholm integral equations by using CAS wavelets in combination with the collocation technique is proposed. First, the unknown function is approximated by using CAS wavelets, then the VolterraFredholm integral equation is reduced to the linear or nonlinear system of equations. Moreover, the convergence theorem for the proposed ...

A Survey of Numerical Methods for Solving Nonlinear Integral Equations

A survey is given of numerical methods for calculating fixed points of nonlinear integral operators. The emphasis is on general methods, ones that are applicable to a wide variety of nonlinear integral equations. These methods include projection methods (Galerkin and collocation) and Nyström methods. Some of the practical problems related to the implementation of these methods is also discussed...

Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations

Numerical method for non-linear fuzzy Volterra integral equations of the second kind