The solution of problem convection-diffusion equation by way of control vol-ume method is considered. Approximate solution of problem is received. Three point scheme of high resolution is constructed.
Cite this paper
Umurdin, D. (2018). Computing Technology of a Method of Control Volume for Obtaining of the Approximate Analytical Solution to One-Dimensional Convection-Diffusion Problems. Open Access Library Journal, 5, e4962. doi: http://dx.doi.org/10.4236/oalib.1104962.
Leonard, B.P. (1990) A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation. Computer Methods in Applied Mechanics and Engineering, 19, 59-98. https://doi.org/10.1016/0045-7825(79)90034-3
Leonard, B.P. and Mokhtari, S. (1990) Beyond First-Order Upwinding: The Ultra Sharp Alternative for Non-Oscillatory Steady-State Simulation of Convection. International Journal for Numerical Methods in Engineering, 30, 729. https://doi.org/10.1002/nme.1620300412