Gnana Bhaskar, T. ; Hariharan, S. ; Nataraj, Neela (2008) Heatlet approach to diffusion equation on unbounded domains Applied Mathematics and Computation, 197 (2). pp. 891-903. ISSN 0096-3003
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Official URL: http://doi.org/10.1016/j.amc.2007.08.060
Related URL: http://dx.doi.org/10.1016/j.amc.2007.08.060
Abstract
We develop Heatlets, the fundamental solutions of heat equation using wavelets, for numerically solving inhomogeneous and homogeneous initial value problems of diffusion equation on unbounded domains. Unlike finite difference and finite element methods, diffusion into an infinite medium is satisfied analytically, avoiding the need for artificial boundary conditions on a finite computational domain. The approach is applied to a number of examples and the numerical results confirm the theoretical findings.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 122941 |
| Deposited On: | 27 Aug 2021 10:15 |
| Last Modified: | 27 Aug 2021 10:15 |
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