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Solution of the Poisson Equation in an Annulus

โœ Scribed by Ivar Christopher; George Knorr; Magdi Shoucri; Pierre Bertrand


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
262 KB
Volume
131
Category
Article
ISSN
0021-9991

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๐Ÿ“œ SIMILAR VOLUMES


CUBATURE SOLUTION OF THE POISSON EQUATIO
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The solutions of the Poisson equation in regular and irregular shaped physical domains are obtained by the cubature method. The solutions of the three test problems involving regular shaped domains are compared with the analytical solutions and the control-volume, ยฎve-point ยฎnite dierence, Galerkin

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We study the existence of positive radial solutions of \(A u+g(|x|) f(u)=0\) in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions. We prove that the problems have positive radial solutions on any annulus if \(f\) is sublinear at 0 and \(\infty . \quad C 1994\) Academic Press, Inc.