The Application of the Definite Solution Problem for Diffusion Equation in a Magma Conduction Model

Abstract:

Heat equation is considered as the most typical one of parabolic equation, which describes many physical phenomena, such as heat conduction, molecule diffusion, etc. In this paper, we investigate the definite solution problem for a diffusion equation. We obtain that if the solution of the diffusion equation is a function of a combination of variables, the solution must satisfies an ordinary differential equation. Then we apply this method to a magma heat conduction model, which shows our research method is feasible and effective.

• Periodical: Advanced Materials Research (Volumes 798-799)
• Pages: 659-662
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.798-799.659
• Online since: September 2013
• Authors: Miao Chao Chen, Fang Wang
• Keywords: Definite Solution, Diffusion Equation, Magma Conduction Model, Parabolic Equation

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