Meshless and multi-resolution collocation techniques for parabolic interface models

Siraj-ul-Islam,, Nadeem Haider and Imran Aziz

Applied Mathematics and Computation, 2018, vol. 335, issue C, 313-332

Abstract: Two new numerical methods based on Haar wavelet collocation and meshless collocation are proposed for solution of parabolic type of time marching interface models. This work is extension of the earlier work (Aziz et al., 2018) from one-dimensional elliptic type interface models to one-dimensional parabolic type interface models. Performance of both the methods is checked in terms of L∞ error norm. Comparison of the proposed methods with the existing methods validates superiority of the methods.

Keywords: Haar wavelet; Meshless method; Radial basis functions; Parabolic models; Interface problems (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:313-332

DOI: 10.1016/j.amc.2018.04.044

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