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SOLVING 1-DIMENSIONAL DIFFUSION PROCESS BY PADE APPROXIMATION.
- Source :
-
Science World Journal . 2019, Vol. 14 Issue 4, p44-47. 4p. - Publication Year :
- 2019
-
Abstract
- This paper explores the method of Pade approximation to solve a system of heat equation; The Pade method of solving PDEs is a well-established method because of its added advantage of naturally increasing the domain of convergence of truncated power series. The solution of the heat equation has been directly expressed as a rational power series of the independent variable known as the Pade approximant. Attempt is made to solve the heat equation and obtain solutions in terms of their exponential matrix. A test on the stability of the solutions via conventional numerical procedures through some form of John Neumann stability method confirmed the scheme to be L0 - stable and therefore produced solutions that are well behaved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 2756391X
- Volume :
- 14
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Science World Journal
- Publication Type :
- Academic Journal
- Accession number :
- 141468089