Sunday, 12 February 2023

A New Approach to Calculating the Approximation Error of Ordinary Differential Equations| Chapter 1 | Research Highlights in Mathematics and Computer Science Vol. 5

 It is popular that the degree of closeness of the solutions of a differential equating and its dissimilarity analogue is supposed in the form O(hp) (h is the grid step, p is the order of estimate). In this case, the order of approximation is derivative on the basis of the dissimilarity equation utilizing the Taylor series.Using the moving bud method, it is attainable to obtain an approximate examining expression for the approximation mistake. Based on the approximate form of the approximation mistake, the approximation wrong can be calculated.The examining form of the approximation form admits for the efficient computation of this wrong. However, the property of this wrong allows you to forge new and improved circuits. Furthermore, established these types of errors, a differential parallel of the difference equating can be constructed, yielding an exact approximation.

Author(s) Details:

Dalabaev Umurdin,
University of World Economy and Diplomacy, Tashkent, Uzbekistan

Hasanova Dilfuza,
University of World Economy and Diplomacy, Tashkent, Uzbekistan.

Please see the link here: https://stm.bookpi.org/RHMCS-V5/article/view/9376

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