An elementary diffusion problem, Laplace transforms and novel mathematical identities

S. McKee; M. Vynnycky; J. A. Cuminato

doi:10.1016/j.cam.2018.12.016

An elementary diffusion problem, Laplace transforms and novel mathematical identities

S. McKee
, M. Vynnycky
, J. A. Cuminato

University of Strathclyde
KTH Royal Institute of Technology
Universidade de São Paulo

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	113-119
Number of pages	7
Journal	Journal of Computational and Applied Mathematics
Volume	353
DOIs	https://doi.org/10.1016/j.cam.2018.12.016
Publication status	Published - Jun 2019
Externally published	Yes

Keywords

Fourier transforms
Laplace transforms

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10.1016/j.cam.2018.12.016

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title = "An elementary diffusion problem, Laplace transforms and novel mathematical identities",

abstract = "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.",

keywords = "Fourier transforms, Laplace transforms",

author = "S. McKee and M. Vynnycky and Cuminato, \{J. A.\}",

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year = "2019",

month = jun,

doi = "10.1016/j.cam.2018.12.016",

language = "English",

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T1 - An elementary diffusion problem, Laplace transforms and novel mathematical identities

AU - McKee, S.

AU - Vynnycky, M.

AU - Cuminato, J. A.

PY - 2019/6

Y1 - 2019/6

N2 - 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.

AB - 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.

KW - Fourier transforms

KW - Laplace transforms

UR - https://www.scopus.com/pages/publications/85059808575

U2 - 10.1016/j.cam.2018.12.016

DO - 10.1016/j.cam.2018.12.016

M3 - Article

AN - SCOPUS:85059808575

SN - 0377-0427

VL - 353

SP - 113

EP - 119

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

An elementary diffusion problem, Laplace transforms and novel mathematical identities

Abstract

Keywords

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