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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
A computational method based on hybrid of block-pulse functions and Taylor series for solving two-dimensional nonlinear integral equations
Type
JournalPaper
Keywords
Two-dimensional hybrid of block-pulse functions and Taylor series; Two-dimensional nonlinear integral equations; Operational matrix; Collocation method
Year
2014
Journal Alexandria Engineering Journal
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, a new reliable technique, which is based on hybrid functions approximation, is introduced for the approximate solutions of two-dimensional nonlinear Fredholm and Volterra integral equations. The properties of block-pulse functions together with the Taylor series are used to reduce the problem to the solution of nonlinear algebraic equations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results show reliability and efficiency of the proposed method.