An Efficient Three-Level Explicit Time-Split Approach for Solving Two-Dimensional Heat Conduction Equation

Authors

Eric Ngondiep, Department of Mathematics and Statistics, College of Science, Al-Imam Muhammad Ibn Saud Islamic University (IMSIU), 90950 Riyadh, Saudi Arabia\\ Hydrological Research Centre, Institute for Geological and Mining Research, 4110 Yaounde, CameroonFollow

Author Country (or Countries)

Cameroon

Abstract

The present paper considers an efficient time-split approach (i.e. a three-level explicit time-split MacCormack scheme) for solving two-dimensional heat conduction equations. Computational cost reduces the two-level explicit MacCormack and splitting. Both stability and convergence of the method are deeply analyzed in L∞(0,T;L2)-norm under a suitable time step restriction. Numerical experiments suggest that the new algorithm is fast, second order accurate in time and fourth order convergent in space. This shows effectiveness of the numerical scheme and improves some well-known results in literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140615

Recommended Citation

Ngondiep, Eric (2020) "An Efficient Three-Level Explicit Time-Split Approach for Solving Two-Dimensional Heat Conduction Equation," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 15.
DOI: http://dx.doi.org/10.18576/amis/140615
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/15