Academic Journal
Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method.
| العنوان: | Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method. |
|---|---|
| المؤلفون: | Yousif, Majeed A.1 (AUTHOR) majeed.yousif@uoz.edu.krd, Hamasalh, Faraidun K.2 (AUTHOR), Zeeshan, Ahmad3 (AUTHOR), Abdelwahed, Mohamed4 (AUTHOR) |
| المصدر: | PLoS ONE. 6/26/2024, Vol. 19 Issue 6, p1-18. 18p. |
| مصطلحات موضوعية: | *KORTEWEG-de Vries equation, *SPLINES, *NUMERICAL analysis |
| People: | VON Neumann, John, 1903-1957 |
| مستخلص: | 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. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: | Academic Search Index |
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