Results 51 to 60 of about 64,324 (325)
Algorithms, 2023 The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self ...
Mahmoud Saleh +2 more
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High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation [PDF]
, 2015 In this paper, a class of unconditionally stable difference schemes based on the Pad´e approximation is presented for the Riesz space-fractional telegraph equation. Firstly, we introduce a new variable to transform the original dfferential equation to an
Jiang, X., Turner, I., Chen, S., Liu, F.
core +1 more source
A note on local refinement for direction splitting methods [PDF]
, 2022 S.3-12In this note we propose a grid refinement procedure for direction splitting schemes for parabolic problems that can be easily extended to the incompressible Navier-Stokes equations.
Gornak, T., Iliev, O., Minev, P.
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gPAV-Based Unconditionally Energy-Stable Schemes for the Cahn-Hilliard Equation: Stability and Error Analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2020 We present several first-order and second-order numerical schemes for the Cahn–Hilliard equation with unconditional energy stability in terms of a discrete energy.
Y. Qian, Zhiguo Yang, Fei Wang, S. Dong
semanticscholar +1 more source
Computation, 2023 We utilize the travelling-wave Ansatz to obtain novel analytical solutions to the linear diffusion–reaction equation. The reaction term is a function of time and space simultaneously, firstly in a Lorentzian form and secondly in a cosine travelling-wave ...
Ali Habeeb Askar +3 more
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Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models [PDF]
Computer Physics Communications, 2019 We propose a family of novel, high-order numerical schemes for gradient flow models based on the scalar auxiliary variable (SAV) approach and name them the high-order scalar auxiliary variable (HSAV) methods.
Yuezheng Gong, Jia Zhao, Qi Wang
semanticscholar +1 more source
Numerical analysis for time-fractional Schrödinger equation on two space dimensions
Advances in Difference Equations, 2020 In this paper, we study the numerical methods for solving the time-fractional Schrödinger equation (TFSE) with Caputo or Riemann–Liouville fractional derivative.
Jun Zhang, JinRong Wang, Yong Zhou
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Real-Time Vocal Tract Modelling [PDF]
, 2007 To date, most speech synthesis techniques have relied upon the representation of the vocal tract by some form of filter, a typical example being linear predictive coding (LPC).
Benkrid, A. +5 more
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Second-order numerical methods for the tempered fractional diffusion equations
Advances in Difference Equations, 2019 In this paper, a class of second-order tempered difference operators for the left and right Riemann–Liouville tempered fractional derivatives is constructed.
Zeshan Qiu, Xuenian Cao
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A computational approach for solving time fractional differential equation via spline functions
Alexandria Engineering Journal, 2020 A computational approach based on finite difference scheme and a redefined extended B-spline functions is presented to study the approximate solution of time fractional advection diffusion equation.
Nauman Khalid +4 more
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