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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Fisher–Kolmogorov–Petrovsky– Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation
Ulrich Olivier Dangui-Mbani,
Ulrich Olivier Dangui-Mbani
School of Energy and Environmental Engineering,
University of Science and Technology Beijing,
Beijing 100083, China;
University of Science and Technology Beijing,
Beijing 100083, China;
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
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Jize Sui,
Jize Sui
School of Energy and Environmental Engineering,
University of Science and Technology Beijing,
Beijing 100083, China;
University of Science and Technology Beijing,
Beijing 100083, China;
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
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Liancun Zheng,
Liancun Zheng
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
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Bandar Bin-Mohsin,
Bandar Bin-Mohsin
Department of Mathematics,
College of Science,
King Saud University,
Riyadh 14451, Saudi Arabia
College of Science,
King Saud University,
Riyadh 14451, Saudi Arabia
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Goong Chen
Goong Chen
Department of Mathematics and
Institute for Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843;
Institute for Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843;
Science Program,
Texas A & M University at Qatar,
Education City Student Center,
Doha, Qatar
Texas A & M University at Qatar,
Education City Student Center,
Doha, Qatar
Search for other works by this author on:
Ulrich Olivier Dangui-Mbani
School of Energy and Environmental Engineering,
University of Science and Technology Beijing,
Beijing 100083, China;
University of Science and Technology Beijing,
Beijing 100083, China;
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
Jize Sui
School of Energy and Environmental Engineering,
University of Science and Technology Beijing,
Beijing 100083, China;
University of Science and Technology Beijing,
Beijing 100083, China;
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
Liancun Zheng
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
Bandar Bin-Mohsin
Department of Mathematics,
College of Science,
King Saud University,
Riyadh 14451, Saudi Arabia
College of Science,
King Saud University,
Riyadh 14451, Saudi Arabia
Goong Chen
Department of Mathematics and
Institute for Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843;
Institute for Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843;
Science Program,
Texas A & M University at Qatar,
Education City Student Center,
Doha, Qatar
Texas A & M University at Qatar,
Education City Student Center,
Doha, Qatar
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 17, 2016; final manuscript received February 9, 2017; published online March 21, 2017. Assoc. Editor: Alan McGaughey.
J. Heat Transfer. Jul 2017, 139(7): 074502 (5 pages)
Published Online: March 21, 2017
Article history
Received:
August 17, 2016
Revised:
February 9, 2017
Citation
Olivier Dangui-Mbani, U., Sui, J., Zheng, L., Bin-Mohsin, B., and Chen, G. (March 21, 2017). "Fisher–Kolmogorov–Petrovsky– Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation." ASME. J. Heat Transfer. July 2017; 139(7): 074502. https://doi.org/10.1115/1.4036005
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