Exponentially Fitted Finite Difference Schemes for Reaction-Diffusion Equations

[摘要] The purpose of this work is to introduce a new kind of finite difference formulation inspired from Fourier analysis, for reaction-diffusion equations. Compared to classical schemes, the proposed scheme is much more accurate and has interesting stability properties. Convergence properties and stability of the scheme are discussed. Numerical examples are provided to show better performance of the method, compared with other existing methods in the literature.

[学科分类] 计算数学

[关键词] exponentially fitted methods for differential equations;nonst;ard finite differences;reaction-diffusion equations