A reaction-diffusion system arising from electrochemistry

DOI10.1016/j.cam.2022.114961OpenAlexW4309880394MaRDI QIDQ2112695

Michael Vynnycky, Sean McKee, Lesław K. Bieniasz

Publication date: 11 January 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114961

zbMATH Keywords

Laplace transformBessel functionscontour integrationcomputational electrochemistrycylindrical microelectrodes

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical integration (65D30)

Uses Software

• Mathematica

Cites Work

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• Double exponential formulas for numerical integration
• Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion
• A generalized Jaeger \(\mathcal{I}(0,1;t)\) integral, resulting from mathematical modelling in electroanalytical chemistry
• An elementary diffusion problem, Laplace transforms and novel mathematical identities
• Multi-precision Laplace transform inversion
• Modeling Arterial Wall Drug Concentrations Following the Insertion of a Drug-Eluting Stent