A moving collocation method for solving time dependent partial differential equations
The paper is concerned with a method for solving time dependent partial differential equations written in divergence form which combines a cell averaging Hermitian collocation with a finite difference approximation to the equidistribution principle. The method is tested against one-dimensional problems described by Burgers' equation, a flame propagation model and the Euler equations. It is stated that more accurate results for moderate numbers of mesh points are obtained as compared with those for fixed meshes.
scientific article; zbMATH DE number 897532
scientific article