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Statistical Analysis of a Linear Multi-Step Numerical Treatment |
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PP: 295-311 |
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doi:10.18576/jsap/120126
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Author(s) |
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A. T. Zaidi,
O. L. Al-Harbi,
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Abstract |
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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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