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A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method
Author(s) -
Sahu P. K.,
Saha Ray S.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3067
Subject(s) - mathematics , collocation method , bernstein polynomial , integral equation , algebraic equation , nonlinear system , fredholm integral equation , fredholm theory , numerical analysis , nyström method , mathematical analysis , differential equation , ordinary differential equation , physics , quantum mechanics
This paper presents an efficient numerical method for finding solutions of the nonlinear Fredholm integral equations system of second kind based on Bernstein polynomials basis. The numerical results obtained by the present method have been compared with those obtained by B‐spline wavelet method. This proposed method reduces the system of integral equations to a system of algebraic equations that can be solved easily any of the usual numerical methods. Numerical examples are presented to illustrate the accuracy of the method. Copyright © 2013 John Wiley & Sons, Ltd.