‎In this paper‎, ‎we study the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value conditions‎. ‎Finite difference method in combination with product trapezoidal integration rule is used to discretize the equation in time and sinc collocation method is employed in space‎. ‎The accuracy and error analysis of the method are discussed‎. ‎Numeric...

In the practical problems such as nuclear waste pollution and seawater intrusion etc., many are reduced to solving convection-diffusion equation, so research of equation is great value. this work, a spectral method presented for one two dimensional with source term. The finite difference also used solve convection diffusion equation. numerical experiments show that more efficient than other met...

Colorectal cancer is initiated in colonic crypts as a consequence of alterations leading to the disruption of the normal colonic cellular process. We propose a model, which couples a convection-diffusion type equation with a level set equation, for tracking the time evolution of an epithelial cell set, inside a colonic crypt, until it reaches the top of the crypt. The convection-diffusion equat...

Our goal is to develop a flux limiter of the Flux-Corrected Transport method for nonconservative convection-diffusion equation. For this, we consider hybrid difference scheme that linear combination monotone and high-order accuracy. The computed as an approximate solution corresponding optimization problem with objective function. constraints this are derived from inequalities valid apply schem...

In this paper, the system of ordinary differential equations arisen from discretizing the convection-diffusion equation with respect to the space variable to compute its approximate solution along a time level is considered. This system involves in computing ey for some vector y, where k is the time step-size and A is a large tridiagonal Toeplitz matrix. The common ways to compute an approximat...