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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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/7351042 |
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| author | Yunbin Xu Meihua Wei |
| author_facet | Yunbin Xu Meihua Wei |
| author_sort | Yunbin Xu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-87348609add34847b4c5c6d499b02d2a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-87348609add34847b4c5c6d499b02d2a2025-02-03T01:31:18ZengWileyAdvances 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2019/7351042 |
| work_keys_str_mv | AT yunbinxu fluxtransportcharacteristicsoffreeboundaryvalueproblemsforaclassofgeneralizedconvectiondiffusionequation AT meihuawei fluxtransportcharacteristicsoffreeboundaryvalueproblemsforaclassofgeneralizedconvectiondiffusionequation |