Restrictive Taylor’s approximation for solving convection–diffusion equation
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摘要
In this paper, we shall develop a new explicit method for solve the convection–diffusion equation, which will exhibit several advantageous features: highly accurate, fast and with good results whatever the exact solution is too large. The stability region is discussed. The error upper bound is proved. The obtained results for a test problem compared with the exact solution and its Douglas approximation, it proves the mentioned advantages.
论文关键词:Restrictive Taylor’s approximation,Exponential matrix,Convection–diffusion equation,Finite difference
论文评审过程:Available online 15 February 2003.
论文官网地址:https://doi.org/10.1016/S0096-3003(02)00672-0