A COMPARISON OF SPLINES INTERPOLATIONS WITH STANDARD FINITE DIFFERENCE METHODS FOR ONE-DIMENSIONAL ADVECTION-DIFFUSION EQUATION

Montri Thongmoon (), Suwon Tangmanee () and Robert McKibbin ()
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Montri Thongmoon: Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Thailand
Suwon Tangmanee: Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Thailand
Robert McKibbin: Institute of Information and Mathematical Sciences, Massey University, Albany, Auckland, New Zealand

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 08, 1291-1304

Abstract: Four types of numerical methods namely: Natural Cubic Spline, Special A-D Cubic Spline, FTCS and Crank–Nicolson are applied to both advection and diffusion terms of the one-dimensional advection-diffusion equations with constant coefficients. The numerical results from two examples are tested with the known analytical solution. The errors are compared when using different Peclet numbers.

Keywords: Advection-Diffusion equation; Cubic Spline methods; Finite Differences (FTCS) method; Crank–Nicolson method (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012819

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