Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials

Abstract

A numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. The method is based on hybrid functions approximate. The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method.

Retracted: Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials

“…The paper titled "Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials" [1], published in Abstract and Applied Analysis, has been retracted as an almost identical paper by the same author has been simultaneously submitted to and published in Journal of Computational and Applied Mathematics. The other publication is "Solution of nonlinear Fredholm integrodifferential equations using a hybrid of block pulse functions and normalized Bernstein polynomials, " Volume 260, April 2014, Pages 258-265, DOI: 10.1016/j.cam.2013.09.036.…”