The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient

WANG Wen-qia

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WANG Wen-qia. The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient[J]. Applied Mathematics and Mechanics, 2003, 24(1): 29-38.

Citation:

WANG Wen-qia. The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient[J]. Applied Mathematics and Mechanics, 2003, 24(1): 29-38.

Citation:

WANG Wen-qia. The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient[J]. Applied Mathematics and Mechanics, 2003, 24(1): 29-38.

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The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient

WANG Wen-qia

School of Mathematics and System Science, Shandong University, Jinan 250100, China

Received Date: 2000-11-20
Rev Recd Date: 2002-07-21
Publish Date: 2003-01-15

Abstract

Abstract

A new discrete approximation to the convection term of the covection diffusion equation was constructed in Saul. yev type difference scheme,then the alternating segment Crank-Nicolson (ASC-N) method for solving the convection-diffusion equation with variable coefficient was developed. The ASC-N method is unconditionally stable. Numerical experiment shows that this method has the obvious property of parallelism and accuracy. The method can be used directly on parallel computers.
- convection-diffusion equation,
- alternating segment method,
- Crank-Nicolson scheme,
- asymmetries difference scheme,
- unconditionally stable,
- parallel computing

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References(13)

References

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