TY - JOUR
ID - 24491
TI - A matrix method for system of integro-differential equations by using generalized Laguerre polynomials
JO - Iranian Journal of Numerical Analysis and Optimization
JA - IJNAO
LA - en
SN - 2423-6977
AU - Matinfar, M.
AU - Riahifar, A.
AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Y1 - 2016
PY - 2016
VL - 6
IS - 2
SP - 85
EP - 98
KW - Systems of linear Fredholm integro-dierential equations
KW - Un- bounded domain
KW - Generalized Laguerre polynomials
KW - Operational matrix of integration
DO - 10.22067/ijnao.v6i2.45227
N2 - The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-differential 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) along with initial conditions are transformed into the matrix equations, which corresponds to a system of linear algebraic equations with the unknown generalized Laguerre coefficients. Combining these matrix equations and then olving the system yields the generalized Laguerre coefficients of the solution function. In addition, several numerical examples are given to demonstrate the validity, efficiency and applicability of the technique.
UR - https://ijnao.um.ac.ir/article_24491.html
L1 - https://ijnao.um.ac.ir/article_24491_3000d6e1f047f1c6749d7c4435309721.pdf
ER -