Open AccessAnalytical and approximate solution of two-dimensional convection-diffusion problems
Author(s) -
Hatıra Günerhan
Publication year - 2020
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2020.00781
Subject(s) - work (physics) , homogeneous , convergent series , convection , convection–diffusion equation , diffusion , series (stratigraphy) , mathematics , exact solutions in general relativity , mathematical analysis , computer science , mechanics , physics , thermodynamics , power series , geology , paleontology , combinatorics
In this work, we have used reduced differential transform method (RDTM) to compute an approximate solution of the Two-Dimensional Convection-Diffusion equations (TDCDE). This method provides the solution quickly in the form of a convergent series. Also, by using RDTM the approximate solution of two-dimensional convection-diffusion equation is obtained. Further, we have computed exact solution of non-homogeneous CDE by using the same method. To the best of my knowledge, the research work carried out in the present paper has not been done, and is new. Examples are provided to support our work.