A matrix method for system ofintegro-di erential equations by usinggeneralized Laguerre polynomials
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 367
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شناسه ملی سند علمی:
JR_IJNAO-6-2_004
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-di erential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre polynomials(GLPs). The method is based on the approximation of the truncated generalized Laguerre series. Then the system of (FIDEs) alongwith initial conditions are transformed into the matrix equations, which cor- responds to a system of linear algebraic equations with the unknown gen-eralized laguerre cofficients. combining these matrix equations and then solving the system yields the generalized Laguerre coe cients of the solution function. In addition, several numerical examples are given to demonstratethe validity, e ciency and applicability of the technique.
کلیدواژه ها:
Systems of linear Fredholm integro-di erential equations ، Un-bounded domain ، Generalized Laguerre polynomials ، Operational matrix ofintegration
نویسندگان
M. Matinfar
Department of mathematics faculty, of Mathematical Sciences, University of Mazandara
A. Riahifar
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,Babolsar, Iran.