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沈玥,女,副教授,陕西榆林人,从2019年至2020年在西安建筑科技大学理学院数学系工作,2020年至今在大数据科学系工作。2010-2014年在内蒙古大学数学科学学院学习,获得数理学基地专业理学学士学位;2014-2019年在中国科学院数学与系统科学研究院硕博连读,获理学博士学位,专业为计算数学。2025-2026年在西安交通大学以国内访问学者身份访学一年。目前主要从事研究方向为偏微分方程约束最优控制问题的数值分析,有限元方法的误差估计以及收敛性分析以及基于神经网络方法求解偏微分方程,在Journal of Computational and Applied Mathematics、Numerical Mathematics:Theory, Methods and Applications、Computers & Mathematics with Applica...
沈玥
Associate Professor
Paper Publications
Variational principle for a generalized KdV equation in a fractal space
Release time:2024-08-09 Hits:
Affiliation of Author(s):
理学院
Journal:
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Key Words:
Semi-inverse method, variational theory, fractal calculus, fractional calculus
Abstract:
A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, some special cases are discussed.
First Author:
hejihuan,Shen Yue
Indexed by:
Journal paper
Volume:
28/4/4
Translation or Not:
no
Date of Publication:
2020-06-12

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