Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Bienvenu Ondami
Pages: [91] - [109]
Received Date: February 17, 2017; Revised March 4, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121779
This paper deals with development and analysis of a discretization by
the method of lines with a finite volumes approach for a
one-dimensional convection-diffusion equation. This discretization
leads to an ordinary differential equation (ODE). We use an explicit
scheme to solve the obtained ODE. 
stability of the approximate solution
under appropriate CFL conditions is also obtained. Study is done for
constant and discontinuous thermal conductivities. Results of
numerical experiments using the present approach are reported.
transient convection-diffusion problem, finite volume method, method of line.
