حلول عددية شرائحية لمنظومات من المعادلات التفاضلية الجبرية غير الخطية

الملخص EN

In this paper, a numerical method is presented for solving systems of nonlinear differential algebraic equations.

This method is based on spline polynomials of degree eight with five collocation points to approximate the solution of the proposed problem.

The study shows that the method when applied to nonlinear differential-algebraic systems for any index is existent and unique.

Moreover, this method is stable and convergent of order seven.

Numerical experiments for three test problems and comparisons with other available results are given to illustrate the applicability and efficiency of the presented method.