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Po-Wei Li, Shenghan Hu and Mengyao Zhang
This study applies the space?time generalized finite difference scheme to solve nonlinear dispersive shallow water waves described by the modified Camassa?Holm equation, the modified Degasperis?Procesi equation, the Fornberg?Whitham equation, and its mod...
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Miglena N. Koleva and Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two dis...
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Peng-Bo Zheng, Zhou-Hao Zhang, Hong-Sheng Zhang and Xue-Yi Zhao
Herein, a numerical model is proposed to simulate the nonlinear wave propagation from deep to shallow water and wave breaking phenomena. In the numerical model, the governing equations selected, in which the momentum equations were added to the eddy-visc...
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Rachid Djeffal, Djemoui Lalmi, Sidi Mohammed El Amine Bekkouche, Tahar Bechouat and Zohir Younsi
Most thermal researchers have solved thermal conduction problems (inverse or direct) using several different methods. These include the usual discretization methods, conventional and special estimation methods, in addition to simple synchronous gradient ...
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Kuan Ren, Annan Jiang, Xinping Guo and Qinghua Min
The section of Jialingjiang Road Station to Xiangjiang Road Station along Qingdao Metro Line 13 is located in Qingdao, China. All of them show obvious characteristics, being soft on the top and hard on the bottom, and the interval tunnel is faced with th...
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Zheng Han, Ming Li, Yange Li, Mingyue Zhao, Changli Li, Wendu Xie, Haohui Ding and Yangfan Ma
Recent studies have indicated that the accurate simulation of debris flows depends not only on the selection of numerical models but also on the availability of precise data on the initial source location and depth. Unfortunately, it is currently difficu...
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Hui Li, Yuan Fang, Zhiguo Huang, Mengyao Zhang and Qing Wei
The finite-difference method is widely used in seismic wave numerical simulation, imaging, and waveform inversion. In the finite-difference method, the finite difference operator is used to replace the differential operator approximately, which can be ob...
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Mohammad Asadzadeh and Larisa Beilina
Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell?s equations. The explicit finit...
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Yongmeng Qi, Qiang Li, Zhigang Zhao, Jiahua Zhang, Lingyun Gao, Wu Yuan, Zhonghua Lu, Ningming Nie, Xiaomin Shang and Shunan Tao
Large-scale floods are one of the major events that impact the national economy and people?s livelihood every year during the flood season. Predicting the factors of flood evolution is a worldwide problem. We use the two-dimensional Saint-Venant equation...
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Lin Liu, Xiumei Zhang, Yunjia Ji and Xiuming Wang
A knowledge of wave propagation in boreholes with gas hydrate-bearing sediments, a typical three-phase porous medium, is of great significance for better applications of acoustic logging information on the exploitation of gas hydrate. To study the wave p...
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