Implicit solution of 1d nonlinear porous medium equation using the four-point Newton- EGMSOR iterative method

• Autorzy: Chew J. V. L. , Sulaiman J.

Identyfikatory

DOI

10.17512/jamcm.2016.2.02

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

porous medium equation; finite difference scheme; Newton method; Explicit Group; MSOR

PL

równania różniczkowe cząstkowe; metoda różnic skończonych; metoda Newtona

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 2
• Strony: 11--21
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Chew J. V. L.

• Faculty of Science and Natural Resources, University Malaysia Sabah Sabah, Malaysia

autor

Sulaiman J.

• Faculty of Science and Natural Resources, University Malaysia Sabah Sabah, Malaysia

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.