An Effective Tool: Numerical Solutions by Legendre Polynomials for High-order Linear Complex Differential Equations
Current Journal of Applied Science and Technology · pp. 348–355 · Published 10 Apr 2015
10.9734/BJAST/2015/16690Abstract
In this paper, Legendre polynomials was used to get numerical solution of high-order linear complex differential equations in a circular domain. The solutions in the form of power series were obtained. The method was applied on three test problems. Obtained results demonstrated in tables are good agreement with the exact solutions. All of the numerical computations have been performed with a code written in Matlab software.
Cited by 9
Md. Humayun Kabir, Md. Shafiqul Islam, Md. Kamrujjaman · MethodsX · 2024
Esin İnan Eskitaşçıoğlu, Muhammed Bahadırhan Aktaş, Haci Mehmet Baskonus · Applied Mathematics and Nonlinear Sciences · 2019
Faruk Düşünceli, Ercan Çelik · Numerical Methods for Partial Differential Equations · 2017
Doddabhadrappla G. Prakasha, Pundikala Veeresha, Mahmoud S. Rawashdeh · Mathematical Methods in the Applied Sciences · 2019
Mohammad Shahriari, Behzad Nemati Saray, Mehrdad Lakestani · The European Physical Journal Plus · 2018
Muhammad Hamid, Muhammad Usman, Tamour Zubair · Physica A: Statistical Mechanics and its Applications · 2019
Doddabhadrappla Gowda Prakasha, Naveen Sanju Malagi, Pundikala Veeresha · Numerical Methods for Partial Differential Equations · 2020
Faruk Dusunceli · Applied Mathematics and Nonlinear Sciences · 2019
Susan H. Mohammad · Advances in Nonlinear Variational Inequalities · 2024
Related research
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
9
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.