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Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order

Nonlinear dynamics, 2021-06, Vol.104 (4), p.4203-4219

2021

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A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation

BIT, 2021-12, Vol.61 (4), p.1453-1481

2021

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A viscoelastic Timoshenko beam: Model development, analysis, and investigation

Journal of mathematical physics, 2022-06, Vol.63 (6)

2022

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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation

Advances in computational mathematics, 2024-04, Vol.50 (2), Article 21

2024

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Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates

Calcolo, 2024-09, Vol.61 (3), Article 50

2024

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A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

Advances in computational mathematics, 2021-06, Vol.47 (3), Article 41

2021

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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

Chinese annals of mathematics. Serie B, 2023-09, Vol.44 (5), p.765-780

2023

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Convergence Analysis of Discrete High-Index Saddle Dynamics

SIAM journal on numerical analysis, 2022-01, Vol.60 (5), p.2731-2750

2022

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An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

CSIAM Transactions on Applied Mathematics, 2022-06, Vol.3 (1), p.172-190

2022

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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023, Vol.40 (3), p.1677-1693

2023

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Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

Journal of computational mathematics, 2022-06, Vol.40 (5), p.814-834

2022

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An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions

Journal of scientific computing, 2019-09, Vol.80 (3), p.1395-1418

2019

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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023-09, Vol.40 (3), p.1677-1693

2023

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An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

SIAM journal on numerical analysis, 2020-01, Vol.58 (5), p.2492-2514

2020

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An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

SIAM journal on numerical analysis, 2020-01, Vol.58 (1), p.330-352

2020

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Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems

Fractional calculus & applied analysis, 2022-08, Vol.25 (4), p.1585-1603

Zheng, Xiangcheng

2022

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A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation

SIAM journal on control and optimization, 2021-01, Vol.59 (3), p.1851-1880

2021

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An Analysis and Global Identification of Smoothless Variable Order of a Fractional Stochastic Differential Equation

Fractal and fractional, 2023-12, Vol.7 (12), p.850

2023

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Analysis of a Time-Fractional Substantial Diffusion Equation of Variable Order

Fractal and fractional, 2022-02, Vol.6 (2), p.114

2022

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Analysis and numerical solution of a nonlinear variable-order fractional differential equation

Advances in computational mathematics, 2019-12, Vol.45 (5-6), p.2647-2675

2019

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Numerical Approximation to a Variable-Order Time-Fractional Black–Scholes Model with Applications in Option Pricing

Computational economics, 2023-10, Vol.62 (3), p.1155-1175

2023

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Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints

Journal of scientific computing, 2022-05, Vol.91 (2), p.56, Article 56

2022

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Mathematical analysis and efficient finite element approximation for variable‐order time‐fractional reaction–diffusion equation with nonsingular kernel

Mathematical methods in the applied sciences, 2023-05, Vol.46 (7), p.8074-8088

2023

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Error Estimates for Euler Discretization of High-Index Saddle Dynamics

SIAM journal on numerical analysis, 2022-10, Vol.60 (5), p.2925-2944

2022

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A time-stepping finite element method for a time-fractional partial differential equation of hidden-memory space-time variable order

Electronic transactions on numerical analysis, 2022-01, Vol.55, p.652-670

2022

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Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order

A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation

A viscoelastic Timoshenko beam: Model development, analysis, and investigation

Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation

Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

Convergence Analysis of Discrete High-Index Saddle Dynamics

An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems

A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation

An Analysis and Global Identification of Smoothless Variable Order of a Fractional Stochastic Differential Equation

Analysis of a Time-Fractional Substantial Diffusion Equation of Variable Order

Analysis and numerical solution of a nonlinear variable-order fractional differential equation

Numerical Approximation to a Variable-Order Time-Fractional Black–Scholes Model with Applications in Option Pricing

Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints

Mathematical analysis and efficient finite element approximation for variable‐order time‐fractional reaction–diffusion equation with nonsingular kernel

Error Estimates for Euler Discretization of High-Index Saddle Dynamics

A time-stepping finite element method for a time-fractional partial differential equation of hidden-memory space-time variable order

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