A high-order kernel method for diffusion and reaction-diffusion equations on surfaces

DOI10.1007/s10915-013-9688-xzbMath1275.65056arXiv1206.0047OpenAlexW2094108357MaRDI QIDQ368080

Grady B. Wright, Edward J. Fuselier

Publication date: 18 September 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0047

zbMATH Keywords

manifoldalgorithmerror estimatesnumerical examplespattern formationdiffusion equationradial basis functionssemidiscretizationkernel methodcollocationreaction-diffusion equationspiral wavesmesh-freemethod-of-linesturing patterns

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Uses Software

• PPM
• rbf_qr

Cites Work

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