AI Article Synopsis
- This research introduces a new method called the conformable-Caputo fractional non-polynomial spline method to solve the time-fractional Korteweg-de Vries (KdV) equation.
- The study focuses on improving numerical accuracy and algorithm development, showing that the method is unconditionally stable through Von Neumann analysis.
- Results from comparisons using graphs and error norms (L2 and L∞) indicate that this new method is more accurate and efficient than previous methods, positioning it as a significant advancement in solving the time-fractional KdV equation.
Article Abstract
This research presents a novel conformable-Caputo fractional non-polynomial spline method for solving the time-fractional Korteweg-de Vries (KdV) equation. Emphasizing numerical analysis and algorithm development, the method offers enhanced precision and modeling capabilities. Evaluation via the Von Neumann method demonstrates unconditional stability within defined parameters. Comparative analysis, supported by contour and 2D/3D graphs, validates the method's accuracy and efficiency against existing approaches. Quantitative assessment using L2 and L∞ error norms confirms its superiority. In conclusion, the study proposes a robust solution for the time-fractional KdV equation.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11207126 | PMC |
| http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0303760 | PLOS |
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