Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation
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Publication:5030638
DOI10.1080/00207160.2019.1608968zbMath1483.65164OpenAlexW2937264697WikidataQ115314603 ScholiaQ115314603MaRDI QIDQ5030638
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1608968
stability and convergencefourth-order differential equationspectral accuracyLegendre spectral methoddistributed-order derivative\(L2\)-\(1_\sigma\) formula
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- A new difference scheme for the time fractional diffusion equation
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- On a class of non-linear delay distributed order fractional diffusion equations
- A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation
- A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations
- Some aspects of fractional diffusion equations of single and distributed order
- Dissipativity and stability analysis for fractional functional differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
- Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
- WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation
- Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations
- Parallel algorithms for nonlinear time-space fractional parabolic PDEs
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
- Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation
- A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
- Some high-order difference schemes for the distributed-order differential equations
- Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain
- Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- Spectral Methods
- Distributed-Order Dynamic Systems
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A class of second order difference approximations for solving space fractional diffusion equations
- A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation
- Numerical solution of time-fractional fourth-order partial differential equations
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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