TY - JOUR
ID - 12655
TI - Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
JO - International Journal of Industrial Mathematics
JA - IJIM
LA - en
SN - 2008-5621
AU - Riahifar, A.
AU - Matinfar, M.
AD - Department of Mathematics, University of Mazandaran, Babolsar, Iran
Y1 - 2018
PY - 2018
VL - 10
IS - 2
SP - 143
EP - 149
KW - Infinite boundary integro-differential equations
KW - Laguerre polynomials
KW - Operational matrix
KW - Linear sets
DO -
N2 - 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.
UR - https://ijim.srbiau.ac.ir/article_12655.html
L1 - https://ijim.srbiau.ac.ir/article_12655_2b9b1c87d70b334488fe9829f24cc4b6.pdf
ER -