Acta Scientific Applied Physics

Research Article Volume 3 Issue 1

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Field Method for Solving Nonlinear Heat Conduction Equation1

Jing-Li Fu1,2* and Yu-Fang He2

1College of Information and Control Engineering, Shandong Vocational University of Foreign Affairs, Shandong Weihai, China
2Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hang Zhou, China

*Corresponding Author: Jing-Li Fu, College of Information and Control Engineering, Shandong Vocational University of Foreign Affairs, Shandong Weihai, China.

Received: December 20, 2022; Published: January 18, 2022

Abstract

We present a new method for integrating the nonlinear heat conduction problem. Using the field method, the basic partial differential equation is obtained for the non-linear heat conduction problem. The solution of non-linear heat conduction equation is derived when we put an actual condition into the basic partial differential equation. Two special cases in heat conduction problem are given to illustrate this method.

Keywords: Field Method; Heat Conduction Problem

References

  1. D Levi and P Winternitz. “Lie point symmetries and commuting flows for equations on lattices”. Journal of Physics A 5(2002): 2249-2262.
  2. Rumyantzev V V and Sambatov A S. ZAMM 58 (1978): 477-580.
  3. Vujanovié B. Non-Linear Mech. 19 Int. J. 84.19: 385-394.
  4. Mei F X. Applied Mathematics and Mechanics 13 (1992): 165-201.
  5. Morioka T. IEEE Photonics Technology Letters 6 (1994): 365-398.
  6. Gingras M K and Pemberton S G. Journal of Sedimentary Research 70 (2000): 1341-1465.
  7. Levasseur M., et al. “Earth Sur-face Process and Land forms”. 31 (2006): 526-597.
  8. Kovice I. Journal of Sound and Vibration 264 (2003): 1073-1095.
  9. Fu J L., et al. Chinese Physics B 17 (2008): 1939-1945.
  10. Fu J L and Fu H. Chinese Physics Letters 25 (2008): 3103-3120.
  11.  

Citation

Citation: Jing-Li Fu and Yu-Fang He. “Field Method for Solving Nonlinear Heat Conduction Equation". Acta Scientific Applied Physics 3.2 (2023): 22-25.

Copyright

Copyright: © 2022 Jing-Li Fu and Yu-Fang He. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



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