Error dynamics of diffusion equation: Effects of numerical diffusion and dispersive diffusion
An error propagation equation has been obtained for the numerical solution of an initial-boundary value problem governed by linear diffusion equation. The error propagation equation is analyzed to identify different types of errors as those due to sub- or super-diffusion and dispersive diffusion errors. Quantification of errors has also been used for numerical analysis of some central difference methods to solve this equation.
error dynamics diffusion equation error propagation equation diffusion error numerical anisotropy