On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
Three level-implicit difference schemes of order 4 are developed for initial-boundary value problems for a linear system of wave equations with variable coefficients and nonlinear lower-order terms. The difference scheme is particularly adapted for the singular lower-order term arising at the origin when solving the scalar wave equations in cylindrical and spherical symmetry. A linear stability analysis is performed. The convergence order is verified on numerical examples.
scientific article; zbMATH DE number 932497