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分数阶扩散方程正问题和反问题的理论及数值方法研究 学位论文
理学博士, 兰州: 兰州大学, 2023
Authors:  姜素珍
Favorite  |    Submit date:2023/11/15
时间分数阶扩散方程  time fractional diffusion equation  $L1$ 方法  $L1$ scheme  $L2-1\sigma$方法  $L2-1\sigma$ scheme  分级网格  graded meshes  稳定性和收敛性  stability and convergence  唯一性  uniqueness  非定常迭代Tikhonov正则化方法  non-stationary iterative Tikhonov regularization method  Levenberg–Marquardt方法.  Levenberg-Marquardt method.  
医学文献课教材改革的新路子 期刊论文
大学图书馆学报, 1998, 期号: 6, 页码: 2
Authors:  景来江;  杨克虎;  陈素珍
Adobe PDF(88Kb)  |  Favorite  |    Submit date:2015/06/12
文献课  教材  教学改革  
An inverse space-dependent source problem for a multi-term time fractional diffusion equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 12
Authors:  Jiang, Suzhen;  Wu, Yujiang
Favorite  |    Submit date:2023/12/04
Inversion of the Initial Value for a Time-Fractional Diffusion-Wave Equation by Boundary Data 期刊论文
Computational Methods in Applied Mathematics, 2020, 卷号: 20, 期号: 1, 页码: 109-120
Authors:  Jiang, Suzhen;  Liao, Kaifang;  Wei, Ting
Favorite  |    Submit date:2020/08/20
Fractional Diffusion-Wave Equation  Inverse Initial Value Problem  Uniqueness  Numerical Method  Diffusion  Initial value problems  Laplace transforms  Metadata  Numerical methods  Wave equations  Analytic continuation  Finite dimensional approximation  Fractional diffusion  Laplace transformations  Multi dimensional  Optimization problems  Time-fractional diffusion  
Recovering a time-dependent potential function in a time fractional diffusion equation by using a nonlinear condition 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2020, 卷号: 29, 期号: 2, 页码: 174-195
Authors:  Jiang, Suzhen;  Wei, Ting
Favorite  |    Submit date:2020/08/29
Fractional diffusion equation  inverse problem time-dependent potential term  uniqueness  Levenberg-Marquardt method  numerical example  Inverse Problems  Differentiation(calculus)  Fixedpointarithmetic  Nonlinearequations  Partialdifferentialequations  Caputofractionalderivatives  Fixedpointtheorems  Marquardtmethod  Non  linearconditions  linearinverseproblem  Potentialfunction  Timefractionaldiffusionequation  Time  dependentpotentials  
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3
Authors:  Chen, MH(陈明华);  Jiang, Suzhen;  Bu, Weiping
Favorite  |    Submit date:2021/12/14
Computationalmethods  Naturalsciencescomputing  Convergencerates  Feynman  Kacequations  Gradedmeshes  Implicit  explicit  Numericalexperiments  Optimalrateofconvergence