Department of Mathematics, Anna University of Technology Tirunelveli, Tirunelveli-627 007, Tamil Nadu, India.
An exponentially fitted finite difference scheme is presented for the unsteady one dimensional flow of heat in a finite bar subject to isothermal boundary conditions. The scheme is a modified form of classical explicit scheme and it is uniformly convergent. The scheme presented in this paper is new. The applicability of the explicit scheme is illustrated using four sample problems. Numerical results are presented.
Keywords: heat equation, exponentially fitted, uniformly convergent, finite difference schemes.
AMS (MOS) subject classification: 65F05, 65N30, 65N35, 65Y05.
International eJournal of Mathematics and Engineering
Volume 2, Issue 1, Pages: 776 – 787