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.

Article navigation

Technical Briefs

#
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

Search for other works by this author on:

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

Search for other works by this author on:

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

Search for other works by this author on:

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

Search for other works by this author on:

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

University of Science and Technology Beijing,

Beijing 100083, China;

University of Science and Technology Beijing,

Beijing 100083, China

Liancun Zheng

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

1

Corresponding 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

Download citation file:

- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars

Close

#### Sign In

### Get Email Alerts

### Cited By

Effect of Operational Parameters on the Thermal Performance of Flat Plate Oscillating Heat Pipe

J. Heat Transfer (December 2019)

Heat Transfer and Flow Structurein a Latticework Duct WithDifferent Sidewalls

J. Heat Transfer (December 2019)

Thermoelastic Interactions in a Slim Strip Due to a Moving Heat Source Under Dual-Phase-Lag Heat Transfer

J. Heat Transfer (December 2019)

### Related Articles

Analysis of Combined Conductive-Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With a Gray Medium

J. Heat Transfer (May, 1988)

Numerical Solution of Unsteady Conduction Heat Transfer in Anisotropic Cylinders

J. Thermal Sci. Eng. Appl (September, 2016)

Ballistic-Diffusive Equations for Transient Heat Conduction From Nano to Macroscales

J. Heat Transfer (April, 2002)

Computation of Sub-Micron Thermal Transport Using an Unstructured Finite Volume Method

J. Heat Transfer (December, 2002)

### Related Chapters

Conduction Heat Transfer in a Printed Circuit Board

Everyday Heat Transfer Problems: Sensitivities to Governing Variables

Conclusion

Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow

Radiation

Thermal Management of Microelectronic Equipment, Second Edition