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The Approximate Solution of Non-linear Stochastic Diffusion Equation using Symbolic WHEP, Different Correction Levels.
- Source :
- AIP Conference Proceedings; 8/13/2009, Vol. 1148 Issue 1, p800-815, 16p, 1 Diagram, 4 Charts, 22 Graphs
- Publication Year :
- 2009
-
Abstract
- In this paper, a stochastic perturbed nonlinear diffusion equation is studied under a stochastic nonlinear nonhomogeneity. The Pickard approximation method is used to introduce a reference first order approximate solution. Under different correction levels, the WHEP technique is used to obtain approximate solutions. Using Mathematica-5, the solution algorithm is operated and several comparisons among correction levels together with error curves have been demonstrated. The method of solution is illustrated through case studies and figures. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1148
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 43887731
- Full Text :
- https://doi.org/10.1063/1.3225440