Direct meshless kernel techniques for time-dependent equations

Y.C. Hon and R. Schaback

Applied Mathematics and Computation, 2015, vol. 258, issue C, 220-226

Abstract: We provide a class of positive definite kernels that allow to solve certain evolution equations of parabolic type for scattered initial data by kernel-based interpolation or approximation, avoiding time intergation completely. Some numerical illustrations are given.

Keywords: Partial differential equation; Expansion kernels; Heat kernel; Trefftz methods (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:220-226

DOI: 10.1016/j.amc.2014.12.140

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