An elementary diffusion problem, Laplace transforms and novel mathematical identities

Autor(es)

McKee, S. ^[1] ; Vynnycky, M. ^[2] ; Cuminato, J. A. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Strathclyde, Dept Math & Stat, Livingstone Tower, 26 Richmond St, Glasgow G1 1XH, Lanark - Scotland

^[2] KTH Royal Inst Technol, Dept Mat Sci & Engn, Brinellvagen 23, S-10044 Stockholm - Sweden

^[3] Univ Sao Paulo, Inst Math & Comp Sci, Dept Appl Math & Stat, POB 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Computational and Applied Mathematics; v. 353, p. 113-119, JUN 2019.
• Citações Web of Science: 0

Resumo

While studying a problem in biomedical research a simple diffusion problem arose which admitted a solution by Fourier transforms. It was natural to ask if the same problem could be solved by Laplace transforms. In this note, we provide three solution techniques using Laplace transforms, with the last leading to a number of novel mathematical identities. Crown Copyright (C) 2018 Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 18/07643-8 - Matemática industrial e técnicas assintóticas
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional