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Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
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American Journal of Computational Mathematics·Volume 01 (2011)·Pages 134–138·Published 30 June 2011·DOI10.4236/ajcm.2011.12014
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Abstract
In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.
KeywordsNonlinear Fredholm-Volterra Integral EquationBlock-Pulse FunctionError AnalysisCollocation Points
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