Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 36
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شناسه ملی سند علمی:
JR_IJIM-10-2_003
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
In this study, an efficient method is presented for solving infinite boundary integro-differential equations (IBI-DE) of the second kind with degenerate kernel in terms of Laguerre polynomials. Properties of these polynomials and operational matrix of integration are first presented. These properties are then used to transform the integral equation to a matrix equation which corresponds to a linear system of algebraic equations with unknown Laguerre coefficients. We prove the convergence analysis of method applied to the solution integro-differential equations. Finally, numerical examples illustrate the efficiency and accuracy of the method.
نویسندگان
A. Riahifar
Department of Mathematics, University of Mazandaran, Babolsar, Iran
M. Matinfar
Department of Mathematics, University of Mazandaran, Babolsar, Iran