Numerical solutions of the Fredholm integral equations of the second type

Abstract

We present in this paper, Bernstein Piecewise Polynomials Method(BPPM), Integral Mean Value Method(IMVM), Taylor Series Method(TSM),The Least Square Method(LSM) are used to solve the integral equations of the second kind numerically. We aim to compare the efficiency of BPPM, IMVM, TSM and LSM in solving the integral equations of the second kind. We solve some examples to illustrate the applicability and simplicity of the methods. The numerical results show that which method is more efficient and accurate. As all these 4 methods consider solutions in numerically it is important to know about their rapidity of convergence to the exact solution.

Keywords

• Fredholm integral equations,mean value,Bernstein

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