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Behnam Sepehrian

Behnam Sepehrian

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-5524-8810
Education: PhD.
ScopusId: 6508297265
Faculty: Science
Address: Arak University
Phone:

Research

Title
A new method for Solving nonlinear Volterra-Hammerstein integral equations via single-term Walsh series
Type
JournalPaper
Keywords
Collocation method; Integral equations; STWS method; Volterra-Hammerstein
Year
2020
Journal Mathematical Analysis and Convex Optimization
DOI
Researchers Behnam Sepehrian ، Mohsen Razzaghi

Abstract

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 to $m$ equal subintervals, $m$ is 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 are made with the existing results.