An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation (Q2682673)

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English	An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation	scientific article

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scholarly article

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title

An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation (English)

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1 February 2023

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zbMATH Keywords

distributed-order time-fractional derivative

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Riemann-Liouville fractional integral

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alternating direction implicit method

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orthogonal spline collocation method

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stability and convergence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2022.12.006

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cites work

Q5699297

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Compact alternating direction implicit scheme for integro-differential equations of parabolic type

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Sharp error estimate of a compact $L1$-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels

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Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations

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Time distributed-order diffusion-wave equation. I. Volterra-type equation

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Numerical solution of distributed order fractional differential equations

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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

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Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data

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Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain

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An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate

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Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

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Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term

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ADI orthogonal spline collocation methods for parabolic partial integro-differential equations

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Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables

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An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems

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Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

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A class of second order difference approximations for solving space fractional diffusion equations

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Convolution quadrature and discretized operational calculus. I

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Numerical solution of an evolution equation with a positive-type memory term

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A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces

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Finite difference approximations for fractional advection-dispersion flow equations

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A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model

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The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

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Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel

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A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

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A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem

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A $C^1 $ Finite Element Collocation Method for Elliptic Equations

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Analyses of Spline Collocation Methods for Parabolic and Hyperbolic Problems in Two Space Variables

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Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations

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On the existence, uniqueness and stability results for time-fractional parabolic integrodifferential equations

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A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

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A new ADI technique for two-dimensional parabolic equation with an integral condition

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Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2022.12.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:2682673