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B-spline solution of a singularly perturbed boundary value problem arising in biology

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  • Lin, Bin
  • Li, Kaitai
  • Cheng, Zhengxing

Abstract

We use B-spline functions to develop a numerical method for solving a singularly perturbed boundary value problem associated with biology science. We use B-spline collocation method, which leads to a tridiagonal linear system. The accuracy of the proposed method is demonstrated by test problems. The numerical result is found in good agreement with exact solution.

Suggested Citation

  • Lin, Bin & Li, Kaitai & Cheng, Zhengxing, 2009. "B-spline solution of a singularly perturbed boundary value problem arising in biology," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2934-2948.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2934-2948
    DOI: 10.1016/j.chaos.2009.04.036
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    References listed on IDEAS

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    1. Saka, Bülent & Dağ, İdris, 2007. "Quartic B-spline collocation method to the numerical solutions of the Burgers’ equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1125-1137.
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    3. Ramadan, Mohamed A. & El-Danaf, Talaat S. & Abd Alaal, Faisal E.I., 2005. "A numerical solution of the Burgers’ equation using septic B-splines," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 795-804.
    4. Fan, Xinghua & Tian, Lixin, 2005. "The existence of solitary waves of singularly perturbed mKdV–KS equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1111-1118.
    5. Ramadan, Mohamed A. & El-Danaf, Talaat S. & Abd Alaal, Faisal E.I., 2005. "A numerical solution of the Burgers’ equation using septic B-splines," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1249-1258.
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