An Analytical Solution to Heat Equation

Authors

  • Ion Riza University Polytechnic of Cluj Napoca
  • Marius Constantin Popescu “Vasile Goldis” Western University Arad, Romania

DOI:

https://doi.org/10.6000/1927-5129.2014.10.35

Keywords:

 Heat equation, non-stationary regime, variables separation method, finite difference method.

Abstract

The present paper explores theoretical aspects of solving the heat equation in the monodimensional case. The proposed study method is the variables separation method, finding thus an original solution, which is compared with the numerical solution obtained by finite difference method.

References

Keffer D. Application and Solution of the Heat Equation in One-and Two-Dimensional Systems Using Numerical Methods, University of Tennessee Knoxville, TN, March 1999.

Perez N. Electrochemistry and Corrosion Science, Kluwer Academic Publishers 2004. http://dx.doi.org/10.1007/b118420

Roberge RP. Handbook of Corrosion Engineering, McGraw-Hill, New-York 1999.

Numerical Methods Using Matlab 3rd ed - Mathews, Fink - Prentice Hall 1999.

Popescu MC, Olaru O. Numerical simulation of processes, University from “Constantin Brâncu?i” of Târgu Jiu, 1996; (in Romanian).

Teodorescu N, Olariu V. Ecuaþii diferenþiale ?i cu derivate parþiale, vol I, vol III, Ed. tehnica, Bucuresti 1978.

Leoveanu IS, Tierean MH. Advanced numerical methods, Ed. University of Transilvania, Brasov 2009; (in Romanian).

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Published

2014-01-05

How to Cite

Ion Riza, & Marius Constantin Popescu. (2014). An Analytical Solution to Heat Equation. Journal of Basic & Applied Sciences, 10, 267–270. https://doi.org/10.6000/1927-5129.2014.10.35

Issue

Section

Mathematics