Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method

Gurhan Gurarslan, Halil Karahan, Devrim Alkaya, Murat Sari and Mutlu Yasar

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

This study aims to produce numerical solutions of one-dimensional advection-diffusion equation using a sixth-order compact difference scheme in space and a fourth-order Runge-Kutta scheme in time. The suggested scheme here has been seen to be very accurate and a relatively flexible solution approach in solving the contaminant transport equation for . For the solution of the present equation, the combined technique has been used instead of conventional solution techniques. The accuracy and validity of the numerical model are verified through the presented results and the literature. The computed results showed that the use of the current method in the simulation is very applicable for the solution of the advection-diffusion equation. The present technique is seen to be a very reliable alternative to existing techniques for these kinds of applications.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:672936

DOI: 10.1155/2013/672936

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