A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Author(s) -
M. Zarebnia
Publication year - 2013
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2013008
Subject(s) - integral equation , mathematics , nonlinear system , sinc function , algebraic equation , mathematical analysis , computation , volterra integral equation , physics , algorithm , quantum mechanics
In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations. Illustrative examples are included to demonstrate thevalidity and applicability of the method.
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