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
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
Approximate Solution of Linear Volterra-Fredholm Integral Equations and Systems of Volterra-Fredholm Integral Equations Using Taylor Expansion Method
عمومى
General
پژوهشي
Research paper
<div style="text-align: justify;">In this study, a new application of Taylor expansion is considered to estimate the solution of Volterra-Fredholm integral equations (VFIEs) and systems of Volterra-Fredholm integral equations (SVFIEs). Our proposed method is based upon utilizing the nth-order Taylor polynomial of unknown function at an arbitrary point and employing integration method to convert VFIEs into a system of linear equations with respect to unknown function and its derivatives. An approximate solution can be easily determined by solving the obtained system. Furthermore, this method leads always to the exact solution if the exact solution is a polynomial function of degree up to n. Also, an error analysis is given. In addition, some problems are provided to demonstrate the validity and applicability of the proposed method.</div>
Volterra-Fredholm integral equations, Systems of Volterra-Fredholm integral equations, Mixed Volterra-Fredholm integral equations, Error analysis, Taylor expansion.
31
50
http://ijmsi.ir/browse.php?a_code=A-10-1636-1&slc_lang=en&sid=1
M.
Didgar
`10031947532846007439`

10031947532846007439
Yes
Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
A.R.
Vahidi
alrevahidi@yahoo.com
`10031947532846007440`

10031947532846007440
No
Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University , Tehran, Iran.