تقرير
Numerical simulation for the motions of nonautonomous solitary waves of a variable-coefficient forced Burgers equation via the lattice Boltzmann method
| العنوان: | Numerical simulation for the motions of nonautonomous solitary waves of a variable-coefficient forced Burgers equation via the lattice Boltzmann method |
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| المؤلفون: | Guan, Qingfeng, Chen, Weiqin, Li, Ying |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | The lattice Boltzmann method (LBM) for the variable-coefficient forced Burgers equation (vc-FBE) is studied by choosing the equilibrium distribution and compensatory functions properly. In our model, the vc-FBE is correctly recovered via the Chapman-Enskog analysis. We numerically investigate the dynamic characteristics of solitons caused by the dispersive and external-force terms. Four numerical examples are given, which align well with the theoretical solutions. Our research proves that LBM is a satisfactory and efficient method for nonlinear evolution equations with variable coefficients. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2212.01632 |
| رقم الأكسشن: | edsarx.2212.01632 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |