Mathematical and Computational Applications | |
High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation | |
Sari, Murat1  | |
关键词: Advection-Diffusion Equation; Contaminant Transport; High-order Finite Difference Schemes; Runge-Kutta; | |
DOI : 10.3390/mca15030449 | |
学科分类:计算数学 | |
来源: mdpi | |
【 摘 要 】
Up to tenth-order finite difference schemes are proposed in this paper to solve one-dimensional advection-diffusion equation. The schemes based on high-order differences are presented using Taylor series expansion. To obtain the solutions, up to tenth-order finite difference schemes in space and a fourth-order Runge-Kutta scheme in time have been combined. The methods are implemented to solve two problems having exact solutions. Numerical experiments have been conducted to demonstrate the efficiency and high-order accuracy of the current methods. The techniques are seen to be very accurate in solving the advection-diffusion equation for Pe ⤠5 . The produced results are also seen to be more accurate than some available results given in the literature.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201902028403692ZK.pdf | 250KB | download |