Restrictive Taylor's approximation for solving convection-diffusion equation

Applied Mathematics and Computation

Volumn 147, Issue 2, 2004, Pages 355-363

  Ismail, Hassan N A ^a   Elbarbary, Elsayed M E ^b,c   Salem, Ghada S E ^a  

^a BENHA UNIVERSITY   (Egypt)

^b Ain Shams University   (Egypt)

^c Al Jouf Teacher College   (Saudi Arabia)

Author keywords

Convection diffusion equation; Exponential matrix; Finite difference; Restrictive Taylor's approximation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

EXPONENTIAL MATRICES;

DIFFERENCE EQUATIONS;

EID: 0141927218     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00672-0     Document Type: Article

References (6)

1. Evans G., Blackledge J., Yardley P. Numerical Methods for Partial Differential Equations. 2000;Springer-Verlag London Limited.
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3. Ismail H.N.A., Elbarbary E.M.E. Highly accurate method for the convection-diffusion equation. Int. J. Comput. Math. 72:1999;271-280.
4. Ismail H.N.A., Elbarbary E.M.E., Hassan A.Y. Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equation. Int. J. Comput. Math. 77:2001;251-261.
5. Ismail H.N.A., Elbarbary E.M.E. Restrictive Taylor's approximation and parabolic partial differential equations. Int. J. Comput. Math. 78:2001;73-82.
6. Williams W.E. Partial Differential Equations. 1980;Clarendon Press, Oxford.