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A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh

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  • Talwar, Jyoti
  • Mohanty, R.K.
  • Singh, Swarn

Abstract

In this paper, we propose a new two level implicit method of order two in time and four in space directions, based on spline in compression approximation for the numerical solution of one space dimensional quasi-linear parabolic partial differential equation on a uniform mesh. The derivation and the stability of the proposed method are discussed in details. We have extended the method to non-uniform mesh. Numerical results are given to illustrate the usefulness of the proposed method.

Suggested Citation

  • Talwar, Jyoti & Mohanty, R.K. & Singh, Swarn, 2015. "A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 82-96.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:82-96
    DOI: 10.1016/j.amc.2015.03.057
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    References listed on IDEAS

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    1. A. Khan & T. Aziz, 2003. "Parametric Cubic Spline Approach to the Solution of a System of Second-Order Boundary-Value Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(1), pages 45-54, July.
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