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Solution of Kawahara equation using a predictor-corrector and RBF-QR method | ||
| Journal of Mathematical Modeling | ||
| دوره 9، شماره 2، مرداد 2021، صفحه 185-199 اصل مقاله (714.29 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.17221.1497 | ||
| نویسندگان | ||
| Zahra Dehghan؛ Jalil Rashidinia* | ||
| Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| Two different methods based on radial basis functions (RBFs) for one-dimensional Kawahara equation are presented. In the first one, we use MQ-RBF with predictor-corrector scheme. Then the statistical tool LOOCV is implemented for selecting good value of shape parameter. In the second one a different scheme is constructed for time and then the RBF-QR method is implemented. In the both of two approaches, the Not-a-Knot method is used to improve the accuracy at the boundaries. The purpose of this paper is to devot suitable strategies to obtain more accurate and efficient solutions specially for arising fifth order time-dependent nonlinear equations comparing with the results from the relevant papers. | ||
| کلیدواژه‌ها | ||
| Kawahara equation؛ multiquadric Radial basis functions؛ theta-weighted scheme؛ RBF-QR؛ LOOCV strategy | ||
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آمار تعداد مشاهده مقاله: 640 تعداد دریافت فایل اصل مقاله: 750 |
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