A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation (Q6606830)

scientific article; zbMATH DE number 7914746

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English	A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation	scientific article; zbMATH DE number 7914746

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instance of

scholarly article

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title

A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation (English)

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17 September 2024

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zbMATH Keywords

time-fractional reaction-subdiffusion equation

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\(L1\) scheme

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compact finite difference scheme

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Fractals and fractional calculus in continuum mechanics

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On the Appearance of the Fractional Derivative in the Behavior of Real Materials

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Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation

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Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative

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A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model

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Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing

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Regularity results for fractional diffusion equations involving fractional derivative with Mittag–Leffler kernel

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A compact finite difference scheme for fractional Black-Scholes option pricing model

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Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons

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Finite difference methods for two-dimensional fractional dispersion equation

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A second-order accurate numerical method for the two-dimensional fractional diffusion equation

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ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation

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Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation

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Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

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Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation

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Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation

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Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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A high order numerical technique and its analysis for nonlinear generalized Fisher's equation

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A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation

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A computational technique for solving the time‐fractional Fokker‐Planck equation

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Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis

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A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability

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On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis

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Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis

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A numerical technique based on B‐spline for a class of time‐fractional diffusion equation

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A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method

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Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method

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A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation

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Compact difference schemes for heat equation with Neumann boundary conditions. II.

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A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions

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A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions

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A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition

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A finite element method for time fractional partial differential equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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A finite element approximation for a class of Caputo time-fractional diffusion equations

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Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation

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A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

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An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

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A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option

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published in

Journal of Mathematical Chemistry

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Identifiers

zbMATH Open document ID

1547.65097

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Mathematics Subject Classification ID

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10.1007/S10910-024-01638-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6606830