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Journal of Mathematical Extension
Article . 2010
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zbMATH Open
Article . 2010
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Nonlinear Integro-Differential Equations

Nonlinear integro-differential equations
Authors: S. Mahdavi∗; M. Tavassoli Kajani;

Nonlinear Integro-Differential Equations

Abstract

Summary: The continuous Legendre wavelets constructed on the interval \([0,1]\) are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations. We give some numerical examples to show applicability of the proposed method.

Keywords

Other nonlinear integral equations, Legendre wavelets, numerical examples, nonlinear Fredholm integro-differential equation, Fredholm integral equations, Numerical methods for integral equations, wavelets, Integro-ordinary differential equations, Numerical methods for wavelets, operational matrix, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average