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