Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation

Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation

The similarity transformation is introduced for studying free boundary value problems for a class of generalized convection-diffusion equation. A class of singular nonlinear boundary value problems are obtained and solved by using Adomian decomposition method (ADM). The approximate solution can be e...

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Main Authors: Yunbin Xu, Meihua Wei
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/7351042
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spelling doaj-87348609add34847b4c5c6d499b02d2a2021-07-02T01:50:16ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/73510427351042Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion EquationYunbin Xu0Meihua Wei1School of Mathematics and Statistics, Yulin University, Shaanxi, Yulin 719000, ChinaSchool of Mathematics and Statistics, Yulin University, Shaanxi, Yulin 719000, ChinaThe similarity transformation is introduced for studying free boundary value problems for a class of generalized convection-diffusion equation. A class of singular nonlinear boundary value problems are obtained and solved by using Adomian decomposition method (ADM). The approximate solution can be expressed in terms of a rapid convergent power series with easily computable terms. The efficiency and reliability of the approximate solution are verified by numerical ones. The effects of the variable thermal conduction k(z), convection functional coefficient h(z), power law exponent n, and parameter α on the flux transport characteristics are presented graphically and analyzed in detail.http://dx.doi.org/10.1155/2019/7351042
collection DOAJ
language English
format Article
sources DOAJ
author Yunbin Xu
Meihua Wei
spellingShingle Yunbin Xu
Meihua Wei
Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
Advances in Mathematical Physics
author_facet Yunbin Xu
Meihua Wei
author_sort Yunbin Xu
title Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
title_short Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
title_full Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
title_fullStr Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
title_full_unstemmed Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation
title_sort flux transport characteristics of free boundary value problems for a class of generalized convection-diffusion equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2019-01-01
description The similarity transformation is introduced for studying free boundary value problems for a class of generalized convection-diffusion equation. A class of singular nonlinear boundary value problems are obtained and solved by using Adomian decomposition method (ADM). The approximate solution can be expressed in terms of a rapid convergent power series with easily computable terms. The efficiency and reliability of the approximate solution are verified by numerical ones. The effects of the variable thermal conduction k(z), convection functional coefficient h(z), power law exponent n, and parameter α on the flux transport characteristics are presented graphically and analyzed in detail.
url http://dx.doi.org/10.1155/2019/7351042
work_keys_str_mv AT yunbinxu fluxtransportcharacteristicsoffreeboundaryvalueproblemsforaclassofgeneralizedconvectiondiffusionequation
AT meihuawei fluxtransportcharacteristicsoffreeboundaryvalueproblemsforaclassofgeneralizedconvectiondiffusionequation
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