Finite element method for a generalized constant delay diffusion equation (Q6543590)

scientific article; zbMATH DE number 7853274

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English	Finite element method for a generalized constant delay diffusion equation	scientific article; zbMATH DE number 7853274

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instance of

scholarly article

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title

Finite element method for a generalized constant delay diffusion equation (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

24 May 2024

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zbMATH Keywords

fractional constant delay diffusion equation

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multi-singularity

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Finite element method

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stability and convergence

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MaRDI profile type

Publication

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cites work

Applications of fractional calculus in physics

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A new collection of real world applications of fractional calculus in science and engineering

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Fractals and fractional calculus in continuum mechanics

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Ordinary and delay differential equations

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Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays

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L1 method on nonuniform meshes for linear time-fractional diffusion equations with constant time delay

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Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay

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Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

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On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay

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Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay

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Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay

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Convergence and superconvergence analysis for nonlinear delay reaction–diffusion system with nonconforming finite element

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A fast second-order implicit scheme for non-linear time-space fractional diffusion equation with time delay and drift term

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An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay

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On a class of non-linear delay distributed order fractional diffusion equations

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A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation

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A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

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

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The tracking of derivative discontinuities for delay fractional equations based on fitted \(L1\) method

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Corrected \(L\)-type method for multi-singularity problems arising from delay fractional equations

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Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations

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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

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Multivariate analogue of generalized Mittag-Leffler function

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Q3999241

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Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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A new difference scheme for the time fractional diffusion equation

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CNSNS.2024.108015

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Sitelinks

Mathematics(1 entry)

mardi Publication:6543590