STABILITY OF DIFFERENCE SCHEME FOR A SEMILINEAR DIFFERENTIAL ALGEBRAIC SYSTEM OF INDEX (k, 0)

摘要

We consider a semilinear differential-algebraic system of partial differential equations of index (k, 0). We numerically solve this system by applying the spline-collocation method based on splitting the matrix pencil. The method has high accuracy coinciding with the smallest order of the approximating spline. Bibliography: 8 titles.