SINC-FINITE DIFFERENCE COLLOCATION METHOD FOR TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS

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Taghipour Zinat; RASHIDINIA JALIL

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

SINC-FINITE DIFFERENCE COLLOCATION METHOD FOR TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS

Author(s)

Taghipour Zinat | RASHIDINIA JALIL | Issue Writer Certificate

Keywords

SINC-COLLOCATION METHOD

CONVECTION DIFFUSION PROBLEMS

FINITE DIFFERENCE METHOD

Abstract

IN THIS PAPER, SINC-COLLOCATION METHOD IS USED FOR TIME-DEPENDENT CONVECTIONDIFFUSION EQUATIONS. SINC-COLLOCATION METHOD BASED ON DOUBLE EXPONENTIAL TRANSFORMATION ( DE) IS USED FOR SPACE DIMENSION AND FINITE DIFFERENCE METHOD IS USED FOR TIME DIMENSION. THE ERROR IN THE APPROXIMATION OF THE SOLUTION IS SHOWN TO CONVERGE AT AN EXPONENTIAL RATE, AND THE NUMERICAL RESULTS CONFIRM THAT COMPARED WITH THE RESULTS BASED ON SINGLE EXPONENTIAL TRANSFORMATION (SE), OUR METHOD IS OF HIGH ACCURACY AND OF GOOD CONVERGENCE.

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APA: Copy

Taghipour, Zinat, & RASHIDINIA, JALIL. (2015). SINC-FINITE DIFFERENCE COLLOCATION METHOD FOR TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921855/en

Vancouver: Copy

Taghipour Zinat, RASHIDINIA JALIL. SINC-FINITE DIFFERENCE COLLOCATION METHOD FOR TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS. 2015. Available from: https://sid.ir/paper/921855/en

IEEE: Copy

Zinat Taghipour, and JALIL RASHIDINIA, “SINC-FINITE DIFFERENCE COLLOCATION METHOD FOR TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921855/en

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