TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 16
IS - 1
PY - 2021
Y1 - 2021/4/01
TI - Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel
TT -
N2 - In this work, the convection-diffusion integro-differential equation with a weakly singular kernel is discussed. The Legendre spectral tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices. Also the convergence analysis for shifted Legendre polynomials and error estimation for tau method have been discussed and approved with the exact solution. Finally, several numerical examples are given to demonstrate the high accuracy of the method.
SP - 145
EP - 168
AU - Pourgholi, R.
AU - Tahmasbi, A.
AU - Azimi, R.
AD - School of Mathematics and Computer Science,
KW - Shifted Legendre tau method
KW - Weakly singular kernel
KW - Integro-differential equation
KW - Convection-diffusion equation.
UR - http://ijmsi.ir/article-1-1266-en.html
ER -