@article{article_567374, title={Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem}, journal={International Journal of Engineering and Applied Sciences}, volume={11}, pages={414–427}, year={2019}, DOI={10.24107/ijeas.567374}, author={Aga, Tesfaye and File, Gemechis and Degla, Guy}, keywords={Fitted operator,singular perturbation,parabolic problems}, abstract={<i> <span style="font-size:10pt;line-height:115%;font-family:’Times New Roman’, serif;">In this paper, we
study a fitted operator average finite difference method for solving </span> </i> <b> <span style="font-size:10pt;line-height:115%;font-family:’Times New Roman’, serif;"> </span> </b> <i> <span style="font-size:10pt;line-height:115%;font-family:’Times New Roman’, serif;">singularly perturbed
parabolic convection-diffusion problems with boundary layer at right side.
After discretizing the solution domain uniformly, the differential equation is
replaced by average finite difference approximation which gives system of
algebraic equation at each time levels. The stability and consistency of the
method established very well to guarantee the convergence of the method.
Furthermore, some numerical results are given to support our theoretical
results and to validate the betterment of using fitted operator methods </span> </i>}, number={3}, publisher={Akdeniz University}, organization={no}