An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

In this work, we develop a new effective method for solving nonlinear Volterra–Fredholm integral equation. The existence of any ε-approximate solution is proved. At the same time, an effective method for obtaining the ε-approximate solution is established. The final numerical examples illustrate tha...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 259; pp. 614 - 619
Main Authors: Chen, Zhong, Jiang, Wei
Format: Journal Article
Language:English
Published: Elsevier Inc 15.05.2015
Subjects:
[formula omitted]-Approximate solution
Nonlinear integral equation
Volterra-Fredholm
Nonlinear integral equation
ε-Approximate solution
Volterra-Fredholm
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:In this work, we develop a new effective method for solving nonlinear Volterra–Fredholm integral equation. The existence of any ε-approximate solution is proved. At the same time, an effective method for obtaining the ε-approximate solution is established. The final numerical examples illustrate that our approach is valid not only for weakly nonlinear problems but also for strongly nonlinear problems.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.02.079