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
1403
6
1
gregorian
2024
9
1
19
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online
1
fulltext
en
A Hybrid Method to Systems of Fredholm Integral Differential Equations
عمومى
General
پژوهشي
Research paper
<div style="text-align: justify;">The method used in this research consists of a hybrid of the Block-Pulse functions and third-kind Chebyshev polynomials for solving systems of Fredholm integral differential equations. Through the use of an operational matrix representing the derivation, the problem is represented by a system of algebraic equations. Some examples are provided to illustrate the simplicity and effectiveness of the utilized method. In addition, results of the presented method have been compared with those obtained from the Tau method and variational iteration method that reveal the proposed scheme to be more applicable.</div>
System of Fredholm integral differential equations, Hybrid method, Block-pulse functions, Third-kind Chebyshev polynomials, Operational matrix.
155
167
http://ijmsi.ir/browse.php?a_code=A-10-5517-1&slc_lang=en&sid=1
Jafar
Biazar
biazar@guilan.ac.ir
`100319475328460010870`

100319475328460010870
Yes
Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
yalda
Parvari Moghaddam
yaldaparvari.m@gmail.com
`100319475328460010871`

100319475328460010871
No
Department of Applied Mathematics, University Campus 2, University of Guilan, Rasht, Iran
Khadijeh
Sadri
khadijeh.sadrikhatouni@neu.edu.tr
`100319475328460010872`

100319475328460010872
No
Mathematics Research Center, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey