التفاصيل البيبلوغرافية
| العنوان: |
Numerical solutions to a BBM‐Burgers model with a nonlocal viscous term. |
| المؤلفون: |
Dumont, Serge, Manoubi, Imen |
| المصدر: |
Numerical Methods for Partial Differential Equations; Nov2018, Vol. 34 Issue 6, p2279-2300, 27p |
| مصطلحات موضوعية: |
BURGERS' equation, VISCOSITY, LIOUVILLE'S theorem, RIEMANN-Hilbert problems, NUMERICAL analysis |
| مستخلص: |
In this paper, we numerically investigate the BBM‐Burgers equation with a nonlocal viscous term u t + u x − β u t x x + ν π ∂ ∂ t ∫ 0 t u ( s ) t − s d s + γ u u x = α u x x , where 1 π ∂ ∂ t ∫ 0 t u ( s ) t − s d s is the Riemann‐Liouville half derivative. In particular, we implement different numerical schemes to approximate the solution and its asymptotical behavior. Also, we compare our numerical results with those given in for similar models. [ABSTRACT FROM AUTHOR] |
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