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Determining the kinematic properties of an advancing front using a decomposition method. / Choudhury, Muhamed; Trevelyan, P.M.J.; Boswell, Graeme.

In: IAENG International Journal of Applied Mathematics, Vol. 46, No. 4, 46_4_23, 01.12.2016, p. 578-584.

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Harvard

Choudhury, M, Trevelyan, PMJ & Boswell, G 2016, 'Determining the kinematic properties of an advancing front using a decomposition method' IAENG International Journal of Applied Mathematics, vol 46, no. 4, 46_4_23, pp. 578-584.

APA

Vancouver

Choudhury M, Trevelyan PMJ, Boswell G. Determining the kinematic properties of an advancing front using a decomposition method. IAENG International Journal of Applied Mathematics. 2016 Dec 1;46(4):578-584. 46_4_23.

Author

Choudhury, Muhamed ; Trevelyan, P.M.J. ; Boswell, Graeme. / Determining the kinematic properties of an advancing front using a decomposition method. In: IAENG International Journal of Applied Mathematics. 2016 ; Vol. 46, No. 4. pp. 578-584

BibTeX

@article{fdc3921974d44d9ea90e580d2842fbd1,
title = "Determining the kinematic properties of an advancing front using a decomposition method",
abstract = "In applications where partial differential equations are used to model populations, there is frequently a critical density threshold below which the population cannot be detected in practice and the corresponding position is often termed the leading edge of the distribution. Historically this position hasbeen investigated for large time problems, but little attention has been afforded to understanding its short term dynamics. In this work we describe a novel approach, utilizing the Laplace decomposition method, that generates algebraic expressions for the initial kinematic properties of the leading edge in termsof the initial data and model parameters. The method is demonstrated on two well-studied partial differential equations and two established systems of equations (representing the growth of fungal networks), all of which display travelling fronts. The kinematics of these advancing fronts are determinedusing our method and are shown to be in excellent agreement with both exact solutions and numerical approximations of the model equations.",
keywords = "Laplace decomposition method, partial differential equations, travelling wave, numerical solution, fungi",
author = "Muhamed Choudhury and P.M.J. Trevelyan and Graeme Boswell",
year = "2016",
month = "12",
day = "1",
language = "English",
volume = "46",
pages = "578--584",
journal = "IAENG International Journal of Applied Mathematics",
issn = "1992-9978",
publisher = "International Association of Engineers",
number = "4",

}

RIS

TY - JOUR

T1 - Determining the kinematic properties of an advancing front using a decomposition method

AU - Choudhury,Muhamed

AU - Trevelyan,P.M.J.

AU - Boswell,Graeme

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In applications where partial differential equations are used to model populations, there is frequently a critical density threshold below which the population cannot be detected in practice and the corresponding position is often termed the leading edge of the distribution. Historically this position hasbeen investigated for large time problems, but little attention has been afforded to understanding its short term dynamics. In this work we describe a novel approach, utilizing the Laplace decomposition method, that generates algebraic expressions for the initial kinematic properties of the leading edge in termsof the initial data and model parameters. The method is demonstrated on two well-studied partial differential equations and two established systems of equations (representing the growth of fungal networks), all of which display travelling fronts. The kinematics of these advancing fronts are determinedusing our method and are shown to be in excellent agreement with both exact solutions and numerical approximations of the model equations.

AB - In applications where partial differential equations are used to model populations, there is frequently a critical density threshold below which the population cannot be detected in practice and the corresponding position is often termed the leading edge of the distribution. Historically this position hasbeen investigated for large time problems, but little attention has been afforded to understanding its short term dynamics. In this work we describe a novel approach, utilizing the Laplace decomposition method, that generates algebraic expressions for the initial kinematic properties of the leading edge in termsof the initial data and model parameters. The method is demonstrated on two well-studied partial differential equations and two established systems of equations (representing the growth of fungal networks), all of which display travelling fronts. The kinematics of these advancing fronts are determinedusing our method and are shown to be in excellent agreement with both exact solutions and numerical approximations of the model equations.

KW - Laplace decomposition method

KW - partial differential equations

KW - travelling wave

KW - numerical solution

KW - fungi

M3 - Article

VL - 46

SP - 578

EP - 584

JO - IAENG International Journal of Applied Mathematics

T2 - IAENG International Journal of Applied Mathematics

JF - IAENG International Journal of Applied Mathematics

SN - 1992-9978

IS - 4

M1 - 46_4_23

ER -

ID: 151745