Results 11 to 20 of about 3,753,121 (350)
Energy stability and convergence of SAV block-centered finite difference method for gradient flows [PDF]
Mathematics of Computation, 2018 We present in this paper construction and analysis of a block-centered finite difference method for the spatial discretization of the scalar auxiliary variable Crank-Nicolson scheme (SAV/CN-BCFD) for gradient flows, and show rigorously that scheme is ...
Xiaoli Li, Jie Shen, H. Rui
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Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation [PDF]
SIAM Journal on Numerical Analysis, 2018 We present a regularized finite difference method for the logarithmic Schr\"odinger equation (LogSE) and establish its error bound. Due to the blow-up of the logarithmic nonlinearity, i.e. $\ln \rho\to -\infty$ when $\rho\rightarrow 0^+$ with $\rho=|u|^2$
W. Bao +3 more
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A Deep Learning Approach Replacing the Finite Difference Method for In Situ Stress Prediction
IEEE Access, 2020 In the domain of geotechnical engineering analysis, fast Lagrangian analysis based on the finite difference method is the most commonly used numerical analysis method. It is a classical numerical algorithm applied to calculate the in situ stress. In this
Wenli Gao +3 more
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SIAM Journal on Numerical Analysis, 2017 A reaction-diffusion problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time $t=0$, and sharp pointwise bounds on certain ...
M. Stynes, E. O'Riordan, J. Gracia
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 more
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Conservative Finite Difference Method for Solving Generalized BBM-KdV Equation
Journal of Harbin University of Science and Technology, 2022 The BBM-KdV equation plays an important role because it can describe a large number of physical phenomena, such as shallow water waves and ion waves. It is an important model for long-wave unidirectional propagation in weakly nonlinear dispersive media ...
WANG Xi, ZHANG Shuang, HU Jin-song
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Existence and uniqueness of an inverse problem for a second order hyperbolic equation
Universal Journal of Mathematics and Applications, 2018 In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small ...
İbrahim Tekin
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Complete centered finite difference method for Helmholtz equation [PDF]
Anais da Academia Brasileira de CiênciasA new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace, and determining the coefficients of the linear ...
GUSTAVO B. ALVAREZ +2 more
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Room Acoustic Simulation Using Finite Difference Time Domain Method [PDF]
مجله مدل سازی در مهندسی, 2015 The growing use of industrial machinery, household appliances and etc, has increased undesirable noises. Thus, the need to control and reduce the undesirable noises in a closed space has caused a lot of interest in recent years.
mahdi nili ahmad abadi +2 more
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Comparison Study on the Performances of Finite Volume Method and Finite Difference Method
Journal of Applied Mathematics, 2013 Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper.
Renwei Liu +4 more
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