Numerical Solution Via a Singular Mixed Integral Equation in (2+1) Dimensional

Authors

A. R. Jan, Department of Mathematics, Faculty of Applied Science, Umm Al- Qura University, Makkah, KSAFollow

Author Country (or Countries)

KSA

Abstract

In this paper, under certain conditions, the unique solution of a mixed integral equation (MIE) with a singular kernel in position and a continuous kernel in time, in ( 2+1) dimensional is discussed and obtained in the space L2([a,b]×[c,d])×C[0,T],T < 1. After using a separation technique method, and Product Nystrom Method (PNM), we have a linear algebraic system (LAS) in two- dimensional with time coefficients. The convergence of the unique solution of the LAS is studied. In the end, and with the aid of Maple 18, many applications when a singular term of position kernel takes a logarithmic form and Carleman function are solved numerically. Moreover, the error is computed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160603

Recommended Citation

R. Jan, A. (2022) "Numerical Solution Via a Singular Mixed Integral Equation in (2+1) Dimensional," Applied Mathematics & Information Sciences: Vol. 16: Iss. 5, Article 3.
DOI: http://dx.doi.org/10.18576/amis/160603
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss5/3