2nd Order Parallel Splitting Methods for Heat Equation

  • M. Aziz Department of Mathematics University of Management and Technology, Lahore, Pakistan.
  • M. A. Rehman Department of Mathematics University of Management and Technology, Lahore, Pakistan.
DOI: https://doi.org/10.32350/sir/11/010101
Keywords: heat equation, 2nd order numerical methods, method of lines, parallel algorithm

Abstract

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In this paper, heat equation in two dimensions with non local boundary condition is solved numerically by 2nd order parallel splitting technique. This technique used to approximate spatial derivative and a matrix exponential function is replaced by a rational approximation. Simpson’s 1/3 rule is also used to approximate the non local boundary condition. The results of numerical experiments are checked and compared with the exact solution, as well as with the results already existed in the literature and found to be highly accurate.

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Published
2017-11-07
How to Cite
1.
M. Aziz, M. A. Rehman. 2nd Order Parallel Splitting Methods for Heat Equation. Sci Inquiry Rev. [Internet]. 2017Nov.7 [cited 2024Nov.23];1(1):01-0. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/311
Issue
Vol 1 No 1: December 2017
Section
Orignal Article

Copyright (c) 2017 M. Aziz, M. A. Rehman

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This work is licensed under a Creative Commons Attribution 4.0 International License.