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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
The block by block method for the numerical solution of the nonlinear two-dimensional Volterra integral equations
Type
JournalPaper
Keywords
Nonlinear two-dimensional Volterra integral equations; Quadrature rule; Block by block method
Year
2011
Journal Journal of King Saud University - Science
DOI
Researchers Farshid Mirzaee

Abstract

In this study, an efficient method is presented for solving nonlinear two-dimensional Volterra integral equations of the second kind. Using block by block method, nonlinear two-dimensional Volterra integral equations reduce to a algebraic equations. Also a theorem is proved for convergence analysis. Numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the method.