Volume 1, Issue 2 (12-2020)                   MACO 2020, 1(2): 59-69 | Back to browse issues page

‎ 10.29252/maco.1.2.6
‎ 20.1001.1.27170624.2020.1.2.6.6

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Sepehrian B, Razzaghi M. A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series. MACO 2020; 1 (2) :59-69
URL: http://maco.lu.ac.ir/article-1-58-en.html
A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series
Behnam Sepehrian * , Mohsen Razzaghi
Abstract:   (1843 Views)
In this article, the properties of single-term Walsh series are presented and utilized for solving the nonlinear Volterra-Hammerstein integral equations of second kind. The interval [0;1) is divided tomequal subintervals,mis a positive integer number. The midpoint of each subinterval is chosen as a suitable collocation point. By the method the computations of integral equations reduce into some nonlinear algebraic equations. The method is computationally attractive, and gives a continuous approximate solution. An analysis for the convergence of method is presented.The efficiency and accuracy of the method are demonstrated through illustrative examples. Some comparisons aremade with the existing results.
Keywords: Collocation method, Integral equations, STWS method, Volterra-Hammerstein
Full-Text [PDF 221 kb]   (1013 Downloads)    
Type of Study: Research Article | Subject: Applied Mathematics
Published: 2020/12/30
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