Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
Volume 15, Issue 2, Pages 11-21Publisher
CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS
DOI: 10.17512/jamcm.2016.2.02
Keywords
porous medium equation; finite difference scheme; Newton method; Explicit Group; MSOR
Categories
Ask authors/readers for more resources
The numerical method can be a good choice in solving nonlinear partial differential equations (PDEs) due to the difficulty in finding the analytical solution. Porous medium equation (PME) is one of the nonlinear PDEs which exists in many realistic problems. This paper proposes a four-point Newton-EGMSOR (4-Newton-EGMSOR) iterative method in solving 1D nonlinear PMEs. The reliability of the 4-Newton-EGMSOR iterative method in computing approximate solutions for several selected PME problems is shown with comparison to 4-Newton-EGSOR, 4-Newton-EG and Newton-Gauss-Seidel methods. Numerical results showed that the proposed method is superior in terms of the number of iterations and computational time compared to the other three tested iterative methods.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available