Fisher–Kolmogorov–Petrovsky– Piscounov Reaction and n-Diffusion Cattaneo Telegraph EquationSource: Journal of Heat Transfer:;2017:;volume( 139 ):;issue: 007::page 74502Author:Olivier Dangui-Mbani, Ulrich
,
Sui, Jize
,
Zheng, Liancun
,
Bin-Mohsin, Bandar
,
Chen, Goong
DOI: 10.1115/1.4036005Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents research for a class of recombination reaction and diffusion problems in which the Cattaneo relaxation, n-diffusion flux, and p-Fisher–Kolmogorov–Petrovsky–Piscounov (KPP) reaction are considered. Approximate analytical solutions are obtained by Adomian decomposition method (ADM) and shown graphically. Some interesting results for spatial variable and temporal variable evolution are obtained. For specified spatial variable, the temperature profiles decrease with respect to the increase of relaxation parameter and power-law index n but decrease with respect to Fisher–KPP reaction parameter p. For specified temporal variable, the temperature profiles are seem oscillating with values of the relaxation parameter and power-law index n.
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| contributor author | Olivier Dangui-Mbani, Ulrich | |
| contributor author | Sui, Jize | |
| contributor author | Zheng, Liancun | |
| contributor author | Bin-Mohsin, Bandar | |
| contributor author | Chen, Goong | |
| date accessioned | 2017-11-25T07:16:54Z | |
| date available | 2017-11-25T07:16:54Z | |
| date copyright | 2017/21/3 | |
| date issued | 2017 | |
| identifier issn | 0022-1481 | |
| identifier other | ht_139_07_074502.pdf | |
| identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4234279 | |
| description abstract | This paper presents research for a class of recombination reaction and diffusion problems in which the Cattaneo relaxation, n-diffusion flux, and p-Fisher–Kolmogorov–Petrovsky–Piscounov (KPP) reaction are considered. Approximate analytical solutions are obtained by Adomian decomposition method (ADM) and shown graphically. Some interesting results for spatial variable and temporal variable evolution are obtained. For specified spatial variable, the temperature profiles decrease with respect to the increase of relaxation parameter and power-law index n but decrease with respect to Fisher–KPP reaction parameter p. For specified temporal variable, the temperature profiles are seem oscillating with values of the relaxation parameter and power-law index n. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Fisher–Kolmogorov–Petrovsky– Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation | |
| type | Journal Paper | |
| journal volume | 139 | |
| journal issue | 7 | |
| journal title | Journal of Heat Transfer | |
| identifier doi | 10.1115/1.4036005 | |
| journal fristpage | 74502 | |
| journal lastpage | 074502-5 | |
| tree | Journal of Heat Transfer:;2017:;volume( 139 ):;issue: 007 | |
| contenttype | Fulltext |