Analytical solution for sediment reaction and diffusion equation with generalized initial-boundary conditions

Xiong Yue-Shan; Onyx Wai Wing hong

doi:10.1023/A:1016341432464

Analytical solution for sediment reaction and diffusion equation with generalized initial-boundary conditions

Xiong Yue-Shan, Onyx Wai Wing hong

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

The sediment reaction and diffusion equation with generalized initial and boundary condition is studied. By using Laplace transform and Jordan lemma, an analytical solution is got, which is an extension of analytical solution provided by Cheng Kwokming James (only diffusion was considered in analytical solution of Cheng). Some problems arisen in the computation of analytical solution formula are also analysed.

Original language	English
Pages (from-to)	404-408
Number of pages	5
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	22
Issue number	4
DOIs	https://doi.org/10.1023/A:1016341432464
Publication status	Published - 1 Jan 2001

Keywords

Analytical solution
Diffusion
Reaction
Sediment

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

More information

10.1023/A:1016341432464

Cite this

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title = "Analytical solution for sediment reaction and diffusion equation with generalized initial-boundary conditions",

abstract = "The sediment reaction and diffusion equation with generalized initial and boundary condition is studied. By using Laplace transform and Jordan lemma, an analytical solution is got, which is an extension of analytical solution provided by Cheng Kwokming James (only diffusion was considered in analytical solution of Cheng). Some problems arisen in the computation of analytical solution formula are also analysed.",

keywords = "Analytical solution, Diffusion, Reaction, Sediment",

author = "Xiong Yue-Shan and {Wing hong}, {Onyx Wai}",

year = "2001",

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AU - Yue-Shan, Xiong

AU - Wing hong, Onyx Wai

PY - 2001/1/1

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N2 - The sediment reaction and diffusion equation with generalized initial and boundary condition is studied. By using Laplace transform and Jordan lemma, an analytical solution is got, which is an extension of analytical solution provided by Cheng Kwokming James (only diffusion was considered in analytical solution of Cheng). Some problems arisen in the computation of analytical solution formula are also analysed.

AB - The sediment reaction and diffusion equation with generalized initial and boundary condition is studied. By using Laplace transform and Jordan lemma, an analytical solution is got, which is an extension of analytical solution provided by Cheng Kwokming James (only diffusion was considered in analytical solution of Cheng). Some problems arisen in the computation of analytical solution formula are also analysed.

KW - Analytical solution

KW - Diffusion

KW - Reaction

KW - Sediment

UR - http://www.scopus.com/inward/record.url?scp=0035314413&partnerID=8YFLogxK

U2 - 10.1023/A:1016341432464

DO - 10.1023/A:1016341432464

M3 - Journal article

VL - 22

SP - 404

EP - 408

JO - Applied Mathematics and Mechanics

JF - Applied Mathematics and Mechanics

SN - 0253-4827

IS - 4

ER -

Analytical solution for sediment reaction and diffusion equation with generalized initial-boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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