Restrictive Taylor’s approximation for solving convection–diffusion equation

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 prove...

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Bibliographic Details
Published in:Applied mathematics and computation 2004-01, Vol.147 (2), p.355-363
Main Authors: Ismail, Hassan N.A., Elbarbary, Elsayed M.E., Salem, Ghada S.E.
Format: Article
Language:English
Subjects:
Convection–diffusion equation
Exact sciences and technology
Exponential matrix
Finite difference
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Restrictive Taylor’s approximation
Sciences and techniques of general use
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00672-0