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检索条件"主题词=Exponential-sum-approximation"
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Fast Euler-Maruyama method for weakly singular stochastic Volterra integral equations with variable exponent
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NUMERICAL ALGORITHMS 2023年 第4期92卷 2433-2455页
作者: Li, Min Dai, Xinjie Huang, Chengming China Univ Geosci Sch Math & Phys Wuhan 430074 Hubei Peoples R China China Univ Geosci Ctr Math Sci Wuhan 430074 Hubei Peoples R China Chinese Acad Sci Acad Math & Syst Sci Inst Computat Math Sci Engn Comp Beijing 100190 Peoples R China Huazhong Univ Sci & Technol Sch Math & Stat Wuhan 430074 Hubei Peoples R China Huazhong Univ Sci & Technol Hubei Key Lab Engn Modeling & Sci Comp Wuhan 430074 Hubei Peoples R China
In this paper, we consider the weakly singular stochastic Volterra integral equations with variable exponent. Firstly, the existence and uniqueness of the equations are studied by the Banach contraction mapping princi... 详细信息
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The fast Euler-Maruyama method for solving multiterm Caputo fractional stochastic delay integro-differential equations
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NUMERICAL ALGORITHMS 2024年 1-22页
作者: Guo, Huijiao Huang, Jin Yang, Yi Zhang, Xueli Univ Elect Sci & Technol China Sch Math Sci Chengdu Sichuan Peoples R China
This paper studies a type of multiterm fractional stochastic delay integro-differential equations (FSDIDEs). First, the Euler-Maruyama (EM) method is developed for solving the equations, and the strong convergence ord... 详细信息
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A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations
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Journal of Applied Mathematics and Physics 2024年 第9期12卷 3053-3065页
作者: Xiaoxue Lu Chunhua Zhang Huiling Xue Bowen Zhong College of Mathematics and Information Science Nanchang Hangkong University Nanchang China School of Statistics and Data Science Jiangxi University of Finance and Economics Nanchang China School of Aircraft Engineering Nanchang Hangkong University Nanchang China
In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial variables to achieve sixth-order a... 详细信息
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