Abstract
In this paper we combine the boundary value method (for discretizing the temporal variable) and
finite difference scheme (for discretizing the spatial variables) to numerically solve the Equation of
Lateral Heat Loss. This equation is also used in Probability, Stochastic processes and Brownian
movements of gases. We first employ a fourth order compact scheme to discretize the spatial
derivatives, and then a linear system of ordinary differential equations is obtained. Then we apply a
fourth order scheme of boundary value method to approach this system. After this we use the central
difference scheme for the temporal variables. Therefore, this scheme can achieve fourth order
accuracy for spatial variables. For stability analysis we have used the Von Neumann Stability.
Numerical results are presented to illustrate the accuracy and efficiency of this compact difference
scheme, compared with finite difference scheme.
Zain Ul Abadin Zafar, M.O. Ahmad, A. Pervaiz, Nazir Ahmad. (2012) ZZ Fourth Order Compact BVM for the Equation of Lateral Heat Loss, Pakistan Journal of Engineering and Applied Sciences, Volume 11, Issue 1 .
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