This paper describes the efficient and accurate solution of the twodimensional anelastic equations by a Fourier-Chebyshev spectral method. A fourth-order Runge-Kutta method is used for th6 time integration, with the diffusion terms treated implicitly and all other terms (including the pressure gradi
Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli
โ Scribed by Jiangguo Liu; Simon Tavener
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 566 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
A novel linearly implicit predictor-corrector scheme is developed for the numerical solution of reaction-diffusion equations. Iterative processes are avoided by treating the nonlinear reaction terms explicitly, while maintaining superior accuracy and stability properties compared to the well-known ~
In the literature [1] [Existence and uniqueness of the solutions and convergence of semiimplicit Euler methods for stochastic pantograph equation, J. Math. Anal. Appl. 325 (2007Appl. 325 ( ) 1142Appl. 325 ( -1159]], Fan and Liu investigated the existence and uniqueness of the solution for stochastic