International Journal of Engineering and Information Systems (IJEAIS)   Year: 2019 | Volume: 3 | Issue: 5 | Page No.: 1-4 Relative and Logarthmic of AI-Tememe Acceleration Methods for Improving the Values of Integrations Numerically of Second Kind Ali Hassan Mohammed and Shatha Hadier Theyab Abstract: The aims of this study are to introduce acceleration methods that called relative and algorithmic acceleration methods, which we generally call Al-Tememe's acceleration methods of the second kind discovered by (Ali Hassan Mohammed). It is very useful to improve the numerical results of continuous integrands in which the main error is of the 4th order, and related to accuracy, the number of used partial intervals and how fast to get results especially to accelerate the results got by Simpson's method. Also, it is possible to utilize it in improving the results of differential equations numerically of the main error of the forth order.