Statistical Analysis of a Linear Multi-Step Numerical Treatment

Authors

A. T. Zaidi, Department of Mathematics, College of Science, Qassim University P.O.Box 6644, Buraydah 51452, Saudi ArabiaFollow
O. L. Al-Harbi, Department of Mathematics, College of Science, Qassim University P.O.Box 6644, Buraydah 51452, Saudi Arabia\\ Department of Mathematics, College of Science and Arts in Uglat Asugour, Qassim University Buraydah, Saudi ArabiaFollow

Abstract

The aim of this paper is to compare the relative accuracies between predictor-corrector methods, Adams-Bashforth method and Adams-Moulton method for solving initial value Differential Equations numerically to observe which methods tend to function well in which step-size brackets as well as which ones provide the minimum amount of error when compared to the true value. The statistical analysis shows that there is always a small amount of error present using Heun’s method; however, the error is rarely large enough unless the function is rapidly rising.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120126

Recommended Citation

T. Zaidi, A. and L. Al-Harbi, O. (2023) "Statistical Analysis of a Linear Multi-Step Numerical Treatment," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 26.
DOI: http://dx.doi.org/10.18576/jsap/120126
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/26