Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type
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DOI: 10.1007/s11075-018-0518-y
Abstract: In this work, we consider parabolic 2D singularly perturbed systems of reaction-diffusion type on a rectangle, in the simplest case that the diffusion parameter is the same for all equations of the system. The solution… read more here.
Keywords: singularly perturbed; diffusion; systems reaction; reaction diffusion ... See more keywords
Prescribed-time tracking for triangular systems of reaction-diffusion PDEs
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DOI: 10.1016/j.ifacol.2020.12.1363
Abstract: Abstract Approximate controllability of systems of coupled parabolic partial differential equations has been of interest for a few decades, where the existence of open-loop control laws performing approximate state transitions within a finite time is… read more here.
Keywords: time; control; reaction diffusion; reaction ... See more keywords
Projected finite elements for systems of reaction-diffusion equations on closed evolving spheroidal surfaces
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DOI: 10.4208/cicp.oa-2016-0029
Abstract: The focus of this article is to present the projected finite element method for solving systems of reaction-diffusion equations on evolving closed spheroidal surfaces with applications to pattern formation. The advantages of the projected finite… read more here.
Keywords: methodology; systems reaction; surface; reaction diffusion ... See more keywords