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Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball

✍ Scribed by Xin Li


Publisher
Springer
Year
2007
Tongue
English
Weight
404 KB
Volume
29
Category
Article
ISSN
1019-7168

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πŸ“œ SIMILAR VOLUMES


The method of fundamental solutions for
✍ A. Karageorghis πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 256 KB

We investigate the application of the method of fundamental solutions (MFS) for the calculation of the eigenvalues of the Helmholtz equation in the plane subject to homogeneous Dirichlet boundary conditions. We present results for circular and rectangular geometries.

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✍ C. S. Chen; M. A. Golberg; Y. C. Hon πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 2 views

The Laplace transform is applied to remove the time-dependent variable in the di usion equation. For nonharmonic initial conditions this gives rise to a non-homogeneous modiΓΏed Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obtained