Analytical and approximate solution of two-dimensional convection-diffusion problems

Abstract

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 inthe form of a convergent series. Also, by using RDTM the approximate so-lution of two-dimensional convection-diffusion equation is obtained. Further,we have computed exact solution of non-homogeneous CDE by using the samemethod. To the best of my knowledge, the research work carried out in thepresent paper has not been done, and is new. Examples are provided to supportour work.