Disintegration conditions for a nonlinear wave in a viscoelastic medium
The authors study numerically quasi-transverse waves in a viscoelastic medium which interact with local inhomogeneities. The authors determine the parameters of inhomogeneities which can cause irreversible disintegration of a wave into a system of waves with different velocities. The corresponding initial-boundary value problem is approximated by nonlinear implicit finite difference scheme and solved first by Newton's method, and then by the matrix sweep method.
nonlinear implicit finite difference scheme
scientific article; zbMATH DE number 1467880