| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2024-0179 |
| Simpson"s Three-Eighths Approach for Computing Solutions of Absolute Value Problems numerically |
| Amjid Ali,Nisar Gul,Haibo Chen,Rasool Shah |
| Keywords:Absolute value equations, Simpson"s Three-Eighths formula, Convergence analysis, Numerical outcomes. |
| Abstract: |
| In this paper, we propose an iterative technique for solving equations with absolute values . In numerical analysis, we take a beam equation, transform it into a system of equations with absolute values, and solve it using the method that has been presented. As a corrector step, the method uses Simpson"s Three- Eighths formula with five points, and as a predictor step, it uses generalized Newton"s approach. This method"s simplicity makes it incredibly useful for addressing large-scale systems. Furthermore, we use several theorems to demonstrate the convergence analysis under different conditions. We tested the effectiveness of the suggested strategy numerically. |
PDF Download reader
|
|
|
|