The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind
In: International journal of computer mathematics, Jg. 80 (2003), Heft 9, S. 1147-1159
Online
academicJournal
- print, 7 ref
Zugriff:
In this article, we report on three-level implicit stable finite difference formulas of O(k2 + h2) and O(k2 + h4) for the numerical integration of certain mildly quasi-liner fourth order parabolic partial differential equations in one-space dimension. The numerical solution of uxx is obtained as a by-product of the method. In all cases, we use only (3 + 3 + 3)-grid points and a single computational cell. Difference schemes for the fourth order linear parabolic equation in polar coordinates are also discussed. The stability analysis for the model linear problem is given as a representative example. Numerical results are presented to demonstrate the order and accuracy of the proposed methods.
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The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind
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Autor/in / Beteiligte Person: | MOHANTY, R. K ; EVANS, D. J |
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Zeitschrift: | International journal of computer mathematics, Jg. 80 (2003), Heft 9, S. 1147-1159 |
Veröffentlichung: | Abingdon: Taylor and Francis, 2003 |
Medientyp: | academicJournal |
Umfang: | print, 7 ref |
ISSN: | 0020-7160 (print) |
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