Legendre and Chebyshev Polynomials for Solving Mixed Integral Equation
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 9 Nov 2015
10.9734/BJMCS/2016/21984Abstract
In this paper, the solution of mixed integral equation (MIE) of the first and second kind in time and position is discussed and obtained in the space L2[-1,1]x C[o,T],T < 1. The kernel of position is established in the logarithmic form, while the kernels of time are continuous and positive functions in C[0,T]. A numerical method is used to obtain a linear system of Fredholm integral equations (SFIEs). In addition, the solution FIE of the second kind, with singular kernel, is solved, using Legendre polynomials. Moreover, Orthogonal polynomials methods are used to obtain the solution of singular FIE of the first kind.
Cited by 2
M. Abdou, M. Nasr, M. Abdel-Aty · 2018
M. Abdou, M. Nasr, M. Abdel-Aty · 2017
Related research
- Computational Approach for the Solution of Some Electric Circuit Problems — shares topic coverage
- Implicit One-Step Legendre Polynomial Hybrid Block Method for the Solution of First-Order Stiff Differential Equations — shares topic coverage
- Use of Random Regression Test-day Model for First Lactation Test-day Milk Yield in Mehsana Buffalo — shares topic coverage
Article metrics
Real usage data collected on this platform.
8
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
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.