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论文期刊

论文标题    An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
作者    Shimin Guo; Liquan Mei; Ying Li
发表/完成日期    2017-11-15
期刊名称    Computers and Mathematics with Applications
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论文简介    The aim of this paper is to develop an efficient numerical treatment for the two-dimensional fractional nonlinear reaction-diffusion-wave equation with the time-fractional derivative of order α (1 < α < 2). For this purpose, we employ the alternating direction implicit (ADI) method based on the Crank-Nicolson scheme for the time stepping, while we apply the Legendre-Galerkin spectral method for the space discretization. The stability and convergence analysis are rigorously set up. In addition, the proposed method is extended to solve the time-fractional Klein-Gordon and sine-Gordon models. Numerical experiments are included, which verifies the theoretical predictions.
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