An elementary diffusion problem, Laplace transforms and novel mathematical identities

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

Research output: Contribution to journalArticle

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.

LanguageEnglish
Pages113-119
Number of pages7
JournalJournal of Computational and Applied Mathematics
Volume353
Early online date24 Dec 2018
DOIs
Publication statusPublished - 30 Jun 2019

Fingerprint

Diffusion Problem
Laplace transforms
Laplace transform
Three Solutions
Fourier transform
Fourier transforms

Keywords

  • Fourier transforms
  • Laplace transforms
  • diffusion problem

Cite this

@article{2aa8f5128aeb47819e9bb1e8cbf1448f,
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, diffusion problem",
author = "S. McKee and M. Vynnycky and J.A. Cuminato",
year = "2019",
month = "6",
day = "30",
doi = "10.1016/j.cam.2018.12.016",
language = "English",
volume = "353",
pages = "113--119",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",

}

An elementary diffusion problem, Laplace transforms and novel mathematical identities. / McKee, S.; Vynnycky, M.; Cuminato, J.A.

In: Journal of Computational and Applied Mathematics, Vol. 353, 30.06.2019, p. 113-119.

Research output: Contribution to journalArticle

TY - JOUR

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

AU - McKee, S.

AU - Vynnycky, M.

AU - Cuminato, J.A.

PY - 2019/6/30

Y1 - 2019/6/30

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

KW - diffusion problem

UR - http://www.scopus.com/inward/record.url?scp=85059808575&partnerID=8YFLogxK

UR - https://www.sciencedirect.com/journal/journal-of-computational-and-applied-mathematics

U2 - 10.1016/j.cam.2018.12.016

DO - 10.1016/j.cam.2018.12.016

M3 - Article

VL - 353

SP - 113

EP - 119

JO - Journal of Computational and Applied Mathematics

T2 - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -