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Chaos and Complex Systems pp 213–218Cite as

Non-polynomial Spline Method for the Solution of Non-linear Burgers’ Equation

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Abstract

A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers’ equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, Int. J. Comp. Math. 85, 843–850 (2008)]. An example is solved to assess the accuracy of the method. The numerical results obtained by this way are compared with the exact solution to show the efficiency of the method.

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Authors and Affiliations

  1. Department of Mathematics - Computer, Istanbul Kultur University, 34156, Atakoy, Istanbul, Turkey

    Hikmet Caglar & Mehmet Fatih Ucar

Authors
  1. Hikmet Caglar
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  2. Mehmet Fatih Ucar
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Correspondence to Hikmet Caglar .

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Editors and Affiliations

  1. Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Stavros G. Stavrinides

  2. Institute for Mathematical Research, Serdang, Malaysia

    Santo Banerjee

  3. Department of Mathematics - Computer, Istanbul Kultur Unviversity, Istanbul, Turkey

    Suleyman Hikmet Caglar

  4. Department of Physics, Istanbul Kultur University, Istanbul, Turkey

    Mehmet Ozer

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Caglar, H., Ucar, M.F. (2013). Non-polynomial Spline Method for the Solution of Non-linear Burgers’ Equation. In: Stavrinides, S., Banerjee, S., Caglar, S., Ozer, M. (eds) Chaos and Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33914-1_27

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