پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شماره‌ها | 748 |
| تعداد مقالات | 7,112 |
| تعداد مشاهده مقاله | 10,247,217 |
| تعداد دریافت فایل اصل مقاله | 6,900,519 |
Numerical solution of one-dimensional Sine-Gordon equation using rational radial basis functions | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 3، آذر 2022، صفحه 387-405 اصل مقاله (1.01 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.20458.1780 | ||
| نویسندگان | ||
| Mansour Shiralizadeh* 1؛ Amjad Alipanah1؛ Maryam Mohammadi2 | ||
| 1Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran | ||
| 2Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we use the rational radial basis function (RRBF) method for solving the one dimensional Sine-Gordon (SG) equation, especially the case with steep front or sharp gradient solutions. The time and spatial derivatives are approximated by the finite difference and RRBF method, respectively. Some numerical experiments are given in both perturbed and unperturbed cases, and are compared with some other numerical methods to confirm the good accuracy of the presented method. The conservation law of energy is also investigated. | ||
| کلیدواژه‌ها | ||
| Sine-Gordon equation؛ Radial basis function؛ Rational radial basis function method؛ Conservation law | ||
|
آمار تعداد مشاهده مقاله: 841 تعداد دریافت فایل اصل مقاله: 939 |
||