Fourth order compact method for one dimensional inhomogeneous heat equation.

Zain Ui Abadin Zafar; Anjum Pervaiz; M. Ratiq; M. Ozair Ahmad

Author(s)

Zain Ui Abadin Zafar Faculty of Engineering, University of Central Punjab, Lahore, Pakistan

Anjum Pervaiz Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan

M. Ratiq Faculty of Engineering, University of Central Punjab, Lahore, Pakistan

M. Ozair Ahmad Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan

Abstract

Many boundary value problems that come up in true life situations defy analytical solutions; so numerical techniques are the best source for finding the solution of such equations. In this paper, a compact method for inhomogeneous heat equation is developed. Comparison of the compact method with the second order scheme is also given. We obtain results both numerically and graphically. We used FORTRAN 90 for the calculations of the numerical results and MS office for the graphical comparison.

Publication Details

Page(s) 45-50

DOI DOI not available

Published Journal: Pakistan Journal of Engineering and Applied Sciences, Volume: 19, Issue: 7, Year: 2016

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