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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
Numerical solution of Fredholm integral-differential equations on unbounded domain
Type
JournalPaper
Keywords
Fredholm integro-differential equations, unbounded domain, generalized Laguerre polynomials, operational matrices.
Year
2015
Journal Journal of Linear and Topological Algebra
DOI
Researchers Mashallah Matinfar ، Abbas Riahifar

Abstract

In this study, a new and ecient approach is presented for numerical solution of Fredholm integro-di fferential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, di fferentiation are introduced and are ultilized to reduce the (FIDEs) to the solution of a system of linear algebraic equations with unknown generalized Laguerre coffiecients. In addition, two examples are given to demonstrate the validity, efficiency and applicability of the technique.