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03- Journal of Statistics Applications & Probability
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 12 > No. 1

 
   

Statistical Analysis of a Linear Multi-Step Numerical Treatment

PP: 295-311
doi:10.18576/jsap/120126
Author(s)
A. T. Zaidi, O. L. Al-Harbi,
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.

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