Invariant Finite-Difference Schemes for Burgers and Heat Transfer Equations

M. I. Bakirova, V. A. Dorodnitsin, R. V. Kozlov


Abstract: By means of finite-difference invariant the difference equations and moving grids for Burgers equation and linear heat transfer equation are constructed. These discrete models possess the same symmetry group as their continuous analogs, and have corresponding invariant solutions on subgroups.