Stability of Difference Scheme for a Semilinear Differential Algebraic System of Index (k, 0)

Аннотация

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.