Analytical Solutions of One-Dimensional Convection-Diffusion Problems

Hatıra Günerhan^1,

¹Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey

Cite this paper:
Hatıra Günerhan. Analytical Solutions of One-Dimensional Convection-Diffusion Problems. Turkish Journal of Analysis and Number Theory. 2018; 6(6):152-154. doi: 10.12691/tjant-6-6-1

Abstract

This paper first describes RDTM and then uses Reduced RDTM to compute an approximate solution of the one-dimensional convection-diffusion problems. The method provides the solution quickly in the form of a convergent series. Our method reduces the computational difficulties existing in the other traditional methods. To show the efficacy of the results, three examples are considered.

Keywords:
reduced differential transform method (RDTM) nonhomogeneous convection-diffusion problem ne-dimensional convection-diffusion problems

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