New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration

الملخص EN

The closed Newton-Cotes differential methods of high algebraic order for small number of function evaluations are unstable.

In this work, we propose a new closed Newton-Cotes trigonometrically fitted differential method of high algebraic order which gives much more efficient results than the well-know ones.