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References from Two high order, combined compact ADI schemes for solving 2D time–fractional advection–diffusion equation. Local targets link to admitted publications; unresolved targets remain external evidence.
Review of the applications of different fractional models in engineering
2025 · External reference
The role of fractional calculus in modern optimization: A survey of algorithms, applications, and open challenges
10.3390/math13193172 · 2025 · External reference
Fractional order optimization algorithms for deep learning
2023 · External reference
Design of robust fractional order fuzzy sliding mode PID controller for two link robotic manipulator system
2018 · External reference
Fractal calculus of variations for problems with constraints
10.1142/s0217732325500014 · 2025 · External reference
Robust fractional-order sliding mode control for robotic manipulator system with time-varying disturbances
2025 · External reference
A bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system
10.1080/00207160.2024.2409794 · 2025 · External reference
A class of fractional-order variational image inpaintingmodels
2012 · External reference
A three-point combined compact difference scheme
10.1006/jcph.1998.5899 · 1998 · External reference
Combined compact finite difference treatment of Burgers’ equation
2012 · External reference
Combined compact difference method for solving the incompressible Navier–Stokes equations
10.1002/fld.2602 · 2012 · External reference
An unconditionally stable spatial sixth-order CCD-ADI method for the two-dimensional linear telegraph equation
2013 · External reference
A CCD-ADI method for unsteady convection–diffusion equations
2013 · External reference
Three-point combined compact difference schemes for time-fractional advection–diffusion equations with smooth solutions
2015 · External reference
Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations
2015 · External reference
The numerical solution of parabolic and elliptic differential equations
1955 · External reference
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
10.1007/s11075-012-9589-3 · 2013 · External reference
High-order compact ADI methods for parabolic equations
10.1016/j.camwa.2006.11.010 · 2006 · External reference
A new difference scheme for the time fractional diffusion equation
10.1016/j.jcp.2014.09.031 · 2015 · External reference
An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space
10.1016/j.camwa.2024.02.018 · 2024 · External reference
High order compact schemes for nonlinear dispersive waves
10.1007/s10915-004-4797-1 · 2006 · External reference
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
10.1016/j.camwa.2016.08.015 · 2017 · External reference
A spatial sixth-order numerical scheme for solving fractional partial differential equation
10.1016/j.aml.2024.109265 · 2025 · External reference
Numerical investigation of the 2D unsteady natural convection heat transfer equation with tempered fractional constitutive relationship
10.1016/j.cnsns.2026.110071 · 2026 · External reference
Caputo-type modification of the Hadamard fractional derivatives
10.1186/1687-1847-2012-142 · 2012 · External reference
Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay
10.1007/s13540-022-00106-3 · 2022 · External reference
A numerical approximation for the Caputo-Hadamard derivative and its application in time-fractional variable-coefficient diffusion equation
10.3934/dcdss.2024027 · 2024 · External reference
Finite difference methods for Caputo-Hadamard fractional differential equations
2020 · External reference
Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
2022 · External reference
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations
10.1016/j.apnum.2022.02.017 · 2022 · External reference
Numerical analysis of a high-order scheme with nonuniform time grids for Caputo-Hadamard fractional reaction sub-diffusion equations
2024 · External reference
Combined compact difference method for solving the incompressible Navier–Stokes equations
10.1002/fld.2602 · ExternalCitation · doi-reference
A three-point combined compact difference scheme
10.1006/jcph.1998.5899 · ExternalCitation · doi-reference
High order compact schemes for nonlinear dispersive waves
10.1007/s10915-004-4797-1 · ExternalCitation · doi-reference
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
10.1007/s11075-012-9589-3 · ExternalCitation · doi-reference
Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay
10.1007/s13540-022-00106-3 · ExternalCitation · doi-reference
A spatial sixth-order numerical scheme for solving fractional partial differential equation
10.1016/j.aml.2024.109265 · ExternalCitation · doi-reference
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations
10.1016/j.apnum.2022.02.017 · ExternalCitation · doi-reference
High-order compact ADI methods for parabolic equations
10.1016/j.camwa.2006.11.010 · ExternalCitation · doi-reference
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
10.1016/j.camwa.2016.08.015 · ExternalCitation · doi-reference
An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space
10.1016/j.camwa.2024.02.018 · ExternalCitation · doi-reference
Numerical investigation of the 2D unsteady natural convection heat transfer equation with tempered fractional constitutive relationship
10.1016/j.cnsns.2026.110071 · ExternalCitation · doi-reference
A new difference scheme for the time fractional diffusion equation
10.1016/j.jcp.2014.09.031 · ExternalCitation · doi-reference
A bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system
10.1080/00207160.2024.2409794 · ExternalCitation · doi-reference
Fractal calculus of variations for problems with constraints
10.1142/s0217732325500014 · ExternalCitation · doi-reference
Caputo-type modification of the Hadamard fractional derivatives
10.1186/1687-1847-2012-142 · ExternalCitation · doi-reference
The role of fractional calculus in modern optimization: A survey of algorithms, applications, and open challenges
10.3390/math13193172 · ExternalCitation · doi-reference
A numerical approximation for the Caputo-Hadamard derivative and its application in time-fractional variable-coefficient diffusion equation
10.3934/dcdss.2024027 · ExternalCitation · doi-reference
