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High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients

โœ Scribed by R.K. Mohanty

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
617 KB
Volume
89
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this article, two-level implicit difference methods of O(k2+ h 4) using 19-spatial grid points for the solution of three space dimensional heat conduction equation and unsteady Navier-Stokes' equations in polar coordinates are proposed. Unconditionally stable ADI methods for the solution of the heat conduction equation in polar coordinates are also discussed. Numerical examples given here show that the methods developed here retain their order and accuracy everywhere including the region in the vicinity of the singularity r = 0.

๐Ÿ“œ SIMILAR VOLUMES

Fundamental solutions for a class of thr
Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
โœ Anvar Hasanov; E.T. Karimov ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 429 KB

s hypergeometric functions of three variables a b s t r a c t We consider an equation Here ฮฑ, ฮฒ, ฮณ are constants, moreover 0 < 2ฮฑ, 2ฮฒ, 2ฮณ < 1. The main result of this paper is a construction of eight fundamental solutions for the above-given equation in an explicit form. They are expressed by Laur