Survey on Linear Integral Equations and the Laguerre Polynomials

Authors

Muhammad Hakim Ali Qasmi, Department of Mathematics, Lahore College of Arts,Science and Technoloy, PakistanFollow
Ali Hasan, Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanFollow
Ali Akgu ̈l, Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey\\ Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, IndiaFollow
Muhammad Farman, Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanFollow
Salem M. Aljazzar, Jeddah College of Engineering, University of Business and Technology, Jeddah 21432, Saudi ArabiaFollow
Faisal Al-Showaikh, College of Arts & Science, Ahlia University, Kingdom of BahrainFollow

Author Country (or Countries)

Pakistan

Abstract

In this paper, we dealt with Integral Equations (IEs). Many real-world problems are modeled in the form of IEs. Nowadays, IEs are used frequently as a replacement for Differential Equations. There are various methods to deal with IEs such as ADM, VIM, and HPM, etc. Here in this work, we used Galerkin Method. In this method, we considered Laguerre Polynomials (some other polynomials may also be used). In the method, the Galerkin equation is solved by using Maple Code for getting unknown constants, solutions, and Graphs.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170218

Recommended Citation

Hakim Ali Qasmi, Muhammad; Hasan, Ali; Akgu ̈l, Ali; Farman, Muhammad; M. Aljazzar, Salem; and Al-Showaikh, Faisal (2023) "Survey on Linear Integral Equations and the Laguerre Polynomials," Applied Mathematics & Information Sciences: Vol. 17: Iss. 2, Article 18.
DOI: http://dx.doi.org/10.18576/amis/170218
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss2/18