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

Jyoti Talwar, R.K. Mohanty and Swarn Singh

Applied Mathematics and Computation, 2015, vol. 260, issue C, 82-96

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.

Keywords: Quasi-linear parabolic equations; Spline in compression; Non polynomial spline; Stability analysis; Variable mesh; Burgers’ equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:260:y:2015:i:c:p:82-96

DOI: 10.1016/j.amc.2015.03.057

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