Search Results - "Alikhanov, Anatoly A." :: K.UTB vyhledávací portál

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$A new difference scheme for the time fractional diffusion equation$

A new difference scheme for the time fractional diffusion equation

by Alikhanov, Anatoly A.
Published in Journal of computational physics (01.01.2015)

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Boundary value problems for the diffusion equation of the variable order in differential and difference settings

by Alikhanov, Anatoly A.
Published in Applied mathematics and computation (15.12.2012)

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$Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations$

Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations

by Du, Ruilian, Alikhanov, Anatoly A., Sun, Zhi-Zhong
Published in Computers & mathematics with applications (1987) (15.05.2020)

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The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations

by Gao, Guang-hua, Alikhanov, Anatoly A., Sun, Zhi-zhong
Published in Journal of scientific computing (01.10.2017)

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Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection–Diffusion Equation

by Gu, Xian-Ming, Huang, Ting-Zhu, Ji, Cui-Cui, Carpentieri, Bruno, Alikhanov, Anatoly A.
Published in Journal of scientific computing (01.09.2017)

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A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen–Cahn Equation

by Zhang, Guoyu, Huang, Chengming, Alikhanov, Anatoly A., Yin, Baoli
Published in Journal of scientific computing (01.08.2023)

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$Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?$

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?

by Zaky, Mahmoud A., Hendy, Ahmed S., Alikhanov, Anatoly A., Pimenov, Vladimir G.
Published in Communications in nonlinear science & numerical simulation (01.05.2021)

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A Time-Fractional Diffusion Equation with Generalized Memory Kernel in Differential and Difference Settings with Smooth Solutions

by Alikhanov, Anatoly A.
Published in Journal of computational methods in applied mathematics (01.10.2017)

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A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation

by Alikhanov, Anatoly A.
Published in Journal of computational methods in applied mathematics (01.01.2017)

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Stability and Convergence of Difference Schemes Approximating a Two-Parameter Nonlocal Boundary Value Problem for Time-Fractional Diffusion Equation

by Alikhanov, Anatoly A.
Published in Computational mathematics and modeling (01.04.2015)

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$A high-order L2 type difference scheme for the time-fractional diffusion equation$

A high-order L2 type difference scheme for the time-fractional diffusion equation

by Alikhanov, Anatoly A., Huang, Chengming
Published in Applied mathematics and computation (15.12.2021)

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Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

by Alikhanov, Anatoly A.
Published in Applied mathematics and computation (01.10.2015)

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$A class of time-fractional diffusion equations with generalized fractional derivatives$

A class of time-fractional diffusion equations with generalized fractional derivatives

by Alikhanov, Anatoly A., Huang, Chengming
Published in Journal of computational and applied mathematics (01.11.2022)

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$A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay$

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay

by Alikhanov, Anatoly A., Asl, Mohammad Shahbazi, Huang, Chengming, Khibiev, Aslanbek
Published in Journal of computational and applied mathematics (01.03.2024)

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A novel explicit fast numerical scheme for the Cauchy problem for integro-differential equations with a difference kernel and its application

by Alikhanov, Anatoly A., Asl, Mohammad Shahbazi, Li, Dongfang
Published in Computers & mathematics with applications (1987) (01.12.2024)

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$Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution$

Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution

by Kedia, Nikki, Alikhanov, Anatoly A., Singh, Vineet Kumar
Published in Mathematics and computers in simulation (01.05.2024)

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$Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel$

Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel

by Kedia, Nikki, Alikhanov, Anatoly A., Singh, Vineet Kumar
Published in Applied numerical mathematics (01.02.2022)

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A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel

by Ma, Zheng, Alikhanov, Anatoly A., Huang, Chengming, Zhang, Guoyu
Published in Applied numerical mathematics (01.09.2021)

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$Temporal second-order difference schemes for the nonlinear time-fractional mixed sub-diffusion and diffusion-wave equation with delay$

Temporal second-order difference schemes for the nonlinear time-fractional mixed sub-diffusion and diffusion-wave equation with delay

by Alikhanov, Anatoly A., Asl, Mohammad Shahbazi, Huang, Chengming, Apekov, Aslan M.
Published in Physica. D (01.08.2024)

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$Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation$

Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation

by Alikhanov, Anatoly A., Asl, Mohammad Shahbazi, Huang, Chengming
Published in Fractional calculus & applied analysis (01.02.2024)

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