Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation
DOI10.1080/00207160.2020.1741556zbMath1480.65303OpenAlexW3011871526MaRDI QIDQ5031221
Xuehua Yang, Qiong Tang, Hai-xiang Zhang
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2020.1741556
stabilityconvergenceweighted and shifted Grünwald difference operatororthogonal spline collocationmodified anomalous fractional equation
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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Cites Work
- Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator
- Finite element approximation for a modified anomalous subdiffusion equation
- Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid
- Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions
- A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
- An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
- WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation
- Renormalization and homogenization of fractional diffusion equations with random data
- An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation
- A spline collocation method for a fractional mobile-immobile equation with variable coefficients
- The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes
- A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- Maximum principle for the generalized time-fractional diffusion equation
- General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
- An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
- Numerical Solutions of Coupled Nonlinear Schrödinger Equations by Orthogonal Spline Collocation Method
- A class of second order difference approximations for solving space fractional diffusion equations
- Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
- The random walk's guide to anomalous diffusion: A fractional dynamics approach