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Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations
Two kinds of numerical schemes are investigated for time-fractional generalized Burgers’ equations (TFGBE). The first kind is obtained by the...
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Finite-difference time-domain methods
The finite-difference time-domain (FDTD) method is a widespread numerical tool for full-wave analysis of electromagnetic fields in complex media and...
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A novel high accuracy finite-difference time-domain method
The finite-difference time-domain (FDTD) method is widely used for numerical simulations of electromagnetic waves and acoustic waves. It is known,...
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Stackelberg Strategy of Two-player Stochastic Difference Game With Time Delay
In this paper, we study the open-loop Stackelberg strategy of stochastic Stackelberg game with time delay. The main contribution is to give the...
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Controlling time-varying confounding in difference-in-differences studies using the time-varying treatments framework
This article clarifies how the biostatistical literature on time-varying treatments (TVT) can provide tools for dealing with time-varying confounding...
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Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation
This paper focuses on develo** a numerical method with high-order accuracy for solving the time-dependent diffusion equation. We discrete time...
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A time two-grid difference method for nonlinear generalized viscous Burgers’ equation
In this paper, we investigate a time two-grid algorithm to get the numerical solution of nonlinear generalized viscous Burgers’ equation, which is...
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Exact solution of time-fractional differential-difference equations: invariant subspace, partially invariant subspace, generalized separation of variables
We present how the invariant subspace method of differential equations can be extended to scalar and coupled fractional differential-difference...
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A fast finite difference method for 2D time variable fractional mobile/immobile equation
In this paper, we establish a fast Crank–Nicolson L1 finite difference scheme for two-dimensional time variable fractional mobile/immobile diffusion...
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An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers’ equation with time delay
In this paper, based on the L 1 discretization for the Caputo fractional derivative, a fully implicit nonlinear difference scheme with (
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On a Class of Applications for Difference Equations in Continuous Time
There are considered certain engineering applications described by non-standard boundary value problems for 1D hyperbolic partial differential...
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Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem
In the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification...
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The characteristic difference DDM for solving the time-fractional order convection–diffusion equations
In this paper, an efficient characteristic difference domain decomposition method for solving the time-fractional order convection–diffusion...
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Time to achievement of minimum clinically important difference after lumbar decompression
ObjectiveThe objective of this study is to examine factors associated with delayed time to achieve minimum clinically important difference (MCID) in...
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Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field
We introduce finite difference time domain (FDTD) methods for solving the Dirac equation coupled with the Chern–Simons gauge field and provide their...
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A Hybrid Spectral-Finite Difference Method for Numerical Pricing of Time-Fractional Black–Scholes Equation
In this paper, option pricing through introducing a novel hybrid method for solving time-fractional Black–Scholes equation is considered. The...
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Antlion larvae localize long distant preys by a mechanism based on time difference
Pit building antlions Euroleon nostras have been submitted to artificial cues in order to delineate their faculty to localize a prey. Series of...
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Two Novel Difference Schemes for the One-Dimensional Multi-Term Time Fractional Oldroyd-B Equation
In this paper, two novel difference schemes, which are based on the order reduction technique together with the weighted and shifted...
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Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations
In this article we consider a certain class of time fractional nonlinear partial differential equations as well as partial differential-difference...
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Efficient Finite Difference/Spectral Method for the Time Fractional Ito Equation Using Fast Fourier Transform Technic
A finite difference/spectral scheme is proposed for the time fractional Ito equation. The mass conservation and stability of the numerical solution...
