A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension
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DOI: 10.1007/s11075-020-00952-3
Abstract: We present a truly meshless method based on the thin plate splines for the numerical solution of the two dimensional forward-backward heat equation and give a robust formulation for the proposed method. The physical domain… read more here.
Keywords: method based; backward heat; method; heat equation ... See more keywords
A modified Lie-group shooting method for multi-dimensional backward heat conduction problems under long time span
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DOI: 10.1016/j.ijheatmasstransfer.2018.06.144
Abstract: Abstract This paper proposes a modified Lie-group shooting method to solve multi-dimensional backward heat conduction problems under long time spans. The backward heat conduction problem is renowned for being ill posed because the solutions are… read more here.
Keywords: lie group; shooting method; backward heat; group shooting ... See more keywords
HARNACK ESTIMATES FOR NONLINEAR BACKWARD HEAT EQUATIONS WITH POTENTIALS ALONG THE RICCI-BOURGUIGNON FLOW
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DOI: 10.4134/jkms.j190049
Abstract: In this paper, we derive various differential Harnack estimates for positive solutions to the nonlinear backward heat type equations on closed manifolds coupled with the Ricci-Bourguignon flow, which was done for the Ricci flow by… read more here.
Keywords: ricci; heat; harnack estimates; backward heat ... See more keywords