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A Comparison Of Splines Interpolations With Standard Finite Difference Methods For One-Dimensional Advection-Diffusion Equation

Author

Listed:
  • 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)

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.

Suggested Citation

  • Montri Thongmoon & Suwon Tangmanee & Robert Mckibbin, 2008. "A Comparison Of Splines Interpolations With Standard Finite Difference Methods For One-Dimensional Advection-Diffusion Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1291-1304.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:08:n:s0129183108012819
    DOI: 10.1142/S0129183108012819
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