Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.29252/ijmsi
14
8888
13
en
jalali
1400
1
1
gregorian
2021
4
1
16
1
online
1
fulltext
en
Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel
عمومى
General
پژوهشي
Research paper
<div style="text-align: justify;">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.</div>
Shifted Legendre tau method, Weakly singular kernel, Integro-differential equation, Convection-diffusion equation.
145
168
http://ijmsi.ir/browse.php?a_code=A-10-1568-1&slc_lang=en&sid=1
R.
Pourgholi
pourgholi@du.ac.ir
`10031947532846008133`

10031947532846008133
Yes
School of Mathematics and Computer Science,
A.
Tahmasbi
tahmasbi@du.ac.ir
`10031947532846008134`

10031947532846008134
No
School of Mathematics and Computer Science,
R.
Azimi
r.azimi@std.du.ac.ir
`10031947532846008135`

10031947532846008135
No
School of Mathematics and Computer Science,