Rational spline-nonstandard finite difference scheme for the solution of time-fractional Swift-Hohenberg equation
DOI10.1016/j.amc.2018.09.015zbMath1429.65205OpenAlexW2896948457MaRDI QIDQ2008212
Publication date: 22 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.015
stability analysiserror boundRiemann-Liouville fractional derivativeGrünwald-Letnikov derivativerational splinetime fractional Swift-Hohenberg equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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Cites Work
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- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- On the solutions of fractional Swift Hohenberg equation with dispersion
- Mixed spline function method for reaction-subdiffusion equations
- The use of cubic splines in the numerical solution of fractional differential equations
- An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
- Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation
- Quadratic spline solution for boundary value problem of fractional order
- Application of homotopy analysis method for fractional Swift Hohenberg equation -- revisited
- On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior
- Analytical and numerical results for the Swift-Hohenberg equation
- Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range
- Numerical solution of fractional order differential equations by extrapolation
- Existence of the uniform attractors for a non-autonomous modified Swift-Hohenberg equation
- A higher order non-polynomial spline method for fractional sub-diffusion problems
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Large time behaviour of solutions of the Swift-Hohenberg equation
- Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
- Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Finite-difference technique based on exponential splines for the solution of obstacle problems
- Well-posedness and long-time behavior for the modified phase-field crystal equation
- Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
- Quadratic-spline collocation methods for two-point boundary value problems
- Non standard finite difference method for solving variable order fractional optimal control problems
- Numerical solution of time-fractional fourth-order partial differential equations
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