In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the ΓΏrst, the boundary conditions as well as the domain of the problem, are axisymmetric, and in the second, the boundary conditions are arbitrary. In both
The method of fundamental solutions for non-linear thermal explosions
β Scribed by Chen, C. S.
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 402 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1069-8299
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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
In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to twodimensional problems of steady-state heat conduction in isotropic and anisotropic bimaterials. Two approaches are used: a domain decomposition technique and a single-domain approach in which modiΓΏed fund
It is well known that a number of solutions may coexist in non-linear systems. Therefore, a complete solution diagram is very important in solving non-linear vibration problems in order to ensure that all possible solutions have been sought. This paper is aimed at seeking solution diagrams by means