Improved averaging-based finite-difference schemes for the convection-diffusion equation

Convection and diffusion have significant effect on reservoir flow systems. To represent the reservoir properly, these effects are encountered in models of reservoir engineering. Many researchers have worked on the convection-diffusion equations. Barakat and Clark considered a diffusion equation in 1966 and proposed a new explicit finite-difference scheme which gives a better result with less error using an averaging of two lower-order schemes. Bokhari and Islam extended this work to solve convection-diffusion equations and claimed to get the accuracy o