A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces

DOI10.1007/s10915-014-9914-1zbMath1319.65079arXiv1404.0812OpenAlexW2059176502WikidataQ40576558 ScholiaQ40576558MaRDI QIDQ2355483

Grady B. Wright, Varun Shankar, Aaron L. Fogelson, Robert M. Kirby

Publication date: 23 July 2015

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

Full work available at URL: https://arxiv.org/abs/1404.0812

zbMATH Keywords

convergencemanifoldsstabilizationnumerical examplescondition numberradial basis functionsfinite differencesreaction-diffusion equationmesh-freemethod-of-lines

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of matrix norms, conditioning, scaling (65F35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• Matlab
• MeshLab
• rbf_qr

Cites Work

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