Stability of a Difference Scheme for a Quasi-Linear Partial Differential Algebraic System of Equations of Index (k, 0)

Resumo

A quasi-linear partial differential algebraic system of equations of index \((k,0)\) is considered. A spline collocation difference scheme with a split matrix pencil is constructed to numerically solve a system of this kind. The difference scheme has a high accuracy coinciding with the lowest order of the spline approximating the required function. Results of numerical calculations are given.