التفاصيل البيبلوغرافية
| العنوان: |
Two novel conservative exponential relaxation methods for the space-fractional nonlinear Schrödinger equation. |
| المؤلفون: |
Xu, Zhuangzhi1 (AUTHOR), Fu, Yayun1,2 (AUTHOR) fyyly@xcu.edu.cn |
| المصدر: |
Computers & Mathematics with Applications. Jul2023, Vol. 142, p97-106. 10p. |
| مصطلحات موضوعية: |
*NONLINEAR Schrodinger equation, *RELAXATION methods (Mathematics), *CONSERVATION of mass, *SCHRODINGER equation, *ENERGY conservation |
| مستخلص: |
In this paper, two novel conservative relaxation methods are developed for the space-fractional nonlinear Schrödinger equation. The first type of relaxation scheme adopts the exponential time difference method in time, the scheme can preserve the energy conservation of the space-fractional nonlinear Schrödinger. Furthermore, although the proposed scheme does not preserve the mass conservation, we can also prove that it can conserve the mass boundedness of the space-fractional nonlinear Schrödinger for the case β > 0 , which may be helpful for the analysis of unconditional convergence of the energy conservative scheme. The second type of relaxation scheme adopts the integral factor method in time, this scheme can be proved to inherit the mass conservation of space-fractional nonlinear Schrödinger. All these two schemes are linearly implicit, and thus can avoid costly nonlinear computations. Numerical experiments show that both of the proposed schemes are remarkable efficiency and have good stability comparing with the original relaxation scheme. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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