Title: Relative and Logarithm functions to improve the numerical values for integrations of the first kind
Authors: Asmahan Abed Yasir and Ali Hassan Mohammed
Volume: 9
Issue: 7
Pages: 9-20
Publication Date: 2025/07/28
Abstract:
The main aim of this work is to introduce acceleration methods called relative and logarithms acceleration methods which are of series of numerated methods. These are very beneficial to acceleration the numerical results for definite integrations with continuous integrands which are of 2nd order main error, with respect to the accuracy and the number of the used subintervals and the fasting obtaining results. Especially, for acceleration the results which are obviously obtained by trapezoidal and midpoint methods. Moreover, these methods could be enhancing the results of the ordinary differential equations numerically which are of 2nd order main error.