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Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 7، شماره 3، آذر 2019، صفحه 319-336 اصل مقاله (283.45 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.14093.1305 | ||
| نویسندگان | ||
| Hossein Rafieayanzadeh؛ Maryam Mohammadi* ؛ Esmail Babolian | ||
| Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| چکیده | ||
| Global approaches make troubles and deficiencies for solving singularly perturbed problems. In this work, a local kernel-based method is applied for solving singularly perturbed parabolic problems. The kernels are constructed by the Newton basis functions (NBFs) on stencils selected as thin regions of the domain of problem that leads to increasing accuracy with less computational costs. In addition, position of nodes may affect significantly on accuracy of the method, therefore, the adaptive residual subsampling algorithm is used to locate optimal position of nodes. Finally, some problems are solved by the proposed method and the accuracy and efficiency of the method is compared with results of some other methods. | ||
| کلیدواژه‌ها | ||
| Local kernel-based method؛ Newton basis functions؛ adaptive residual subsampling algorithm؛ singularly perturbed parabolic problems؛ convection-diffusion problems | ||
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آمار تعداد مشاهده مقاله: 677 تعداد دریافت فایل اصل مقاله: 729 |
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