A probabilistic approach to numerical solution of the nonlinear diffusion equation
β Scribed by A. Korzeniowski
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 305 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
Let L be a second order elliptic differential operator and let D be an arbitrary open subset of R d . In we introduced a class U 1 (D) of positive solutions of the equation Lu=&u 2 which is in 1 1 correspondence with a convex class H 1 (D) of positive solutions of the equation Lu=0. In the present
## Abstract In this work, accurate solutions to linear and nonlinear diffusion equations were introduced. A polynomialβbased differential quadrature scheme in space and a strong stability preserving RungeβKutta scheme in time have been combined for solving these equations. This scheme needs less st
Three methods (Gauss-Legendre method, Stehfest method and Laplace transform method) are used to evaluate a solution of a coupled heat-fluid linear diffusion equation. Comparing with the results by Jaeger, the accuracy and efficiency of the Stehfest and Gauss-Legendre methods and the limitations of t