Results 21 to 30 of about 6,277 (191)
Advances in Difference Equations, 2018 According to the principle of conservation of mass and the fractional Fick’s law, a new two-sided space-fractional diffusion equation was obtained. In this paper, we present two accurate and efficient numerical methods to solve this equation.
Xiucao Yin, Shaomei Fang, Changhong Guo
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A mass-conservative higher-order ADI method for solving unsteady convection–diffusion equations
Advances in Difference Equations, 2020 In the paper, a high-order alternating direction implicit (ADI) algorithm is presented to solve problems of unsteady convection and diffusion. The method is fourth- and second-order accurate in space and time, respectively.
Ben Wongsaijai +2 more
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发电技术, 2023 A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed.
WANG Jinzhao, YAN Gangui, LIU Kan
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A Finite Difference Method for Solving the Wave Equation with Fractional Damping
Mathematical and Computational Applications, 2023 In this paper, we develop a finite difference method for solving the wave equation with fractional damping in 1D and 2D cases, where the fractional damping is given based on the Caputo fractional derivative.
Manruo Cui, Cui-Cui Ji, Weizhong Dai
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Quadratic alternating direction implicit iteration for the fast solution of algebraic Riccati equations [PDF]
, 2005 Algebraic Riccati equations (AREs) spread over many branches of signal processing and system design problems. Solution of large scale AREs, however, can be computationally prohibitive.
Balakrishnan, V, Wong, N
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Modeling GPR Wave Propagation in Complex Underground Structures Using Conformal ADI-FDTD Algorithm
Applied Sciences, 2022 Ground Penetrating Radar (GPR) is a shallow geophysical method for detecting and locating subsurface targets. The GPR image echo characteristics of complex underground structures can be obtained by carrying out GPR forward modeling research.
Yinping Li +4 more
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Proceedings of LFNM'2000. 2nd International Workshop on Laser and Fiber-Optical Networks Modeling (Cat. No.00EX419), 2002 The convection-diffusion kinetics at the channel electrode may be successfully simulated using the alternating direction implicit (ADI) method. We used an irregular grid in all co-ordinates (x, y and t) inorder to obtain efficient results near the electrode surface and at the start of the electrolysis.
Svir, I +4 more
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A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
Advances in Difference Equations, 2018 In this paper, firstly, we solve the linear 3D Schrödinger equation using Douglas–Gunn alternating direction implicit (ADI) scheme and high-order compact (HOC) ADI scheme, which have the order O(τ2+h2) $O(\tau^{2}+h^{2})$ and O(τ2+h4) $O(\tau^{2}+h^{4})$,
Rena Eskar, Pengzhan Huang, Xinlong Feng
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Journal of Applied Mathematics and Physics, 2018 In this paper, we use the Adomian decomposition method (ADM), the finite differences method and the Alternating Direction Implicit method to estimate the advantages and the weakness of the above methods. For it, we make a numerical simulation of the different solutions constructed with these methods and compare the error investigated case.
André Bitsindou +2 more
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Low-Rank Methods for Solving Discrete-Time Projected Lyapunov Equations
MathematicsIn this paper, we consider the numerical solution of large-scale discrete-time projected Lyapunov equations. We provide some reasonable extensions of the most frequently used low-rank iterative methods for linear matrix equations, such as the low-rank ...
Yiqin Lin
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