Login New user?  
Mathematical Sciences Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 4 > No. 1

 
   

A method based on Legendre Pseudo-Spectral Approximations for Solving Inverse Problems of Parabolic Types Equations

PP: 81-90
Author(s)
M. A. Abdelkawy, Engy A. Ahmed, P. Sanchez,
Abstract
This paper reports a new Legendre Gauss-Lobatto collocation (SL-GL-C)method to solve numerically two inverse problems of parabolic partial differential types equations subject to initial-boundary conditions. This problem is reformulated by eliminating the unknown functions using some special assumptions based on Legendre Gauss-Lobatto quadrature rule. The SL-GL-C is utilized to solve non-classical parabolic initial-boundary value problems. Accordingly, the inverse problem is reduced into a system of ordinary differential equations (SODEs) and afterwards, such system can be solved numerically using implicit Runge-Kutta (IRK) method of order four. For demonstrating the robust, effectiveness and stable approximations of the present method, several test examples are presented.

  Home   About us   News   Journals   Conferences Contact us Copyright naturalspublishing.com. All Rights Reserved