Fourth Order Compact Method for One Dimensional Inhomogeneous Heat Equation

Zain Ul Abadin Zafar, M. Rafiq, Anjum Pervaiz, M. Ozair Ahmad

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.

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References


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