A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation
DOI10.4208/eajam.181016.300517ezbMath1383.65079OpenAlexW2798449963WikidataQ115211195 ScholiaQ115211195MaRDI QIDQ4603417
Zhibo Wang, Pin Lyu, Seak Weng Vong
Publication date: 20 February 2018
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.181016.300517e
convergencenumerical examplefinite difference methodtwo-point boundary value problemCaputo fractional derivativederivative bound
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)
Related Items (4)
Cites Work
- Unnamed Item
- A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- A new difference scheme for the time fractional diffusion equation
- Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
- Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations
- A compact finite difference scheme for the fractional sub-diffusion equations
- A fourth-order approximation of fractional derivatives with its applications
- Finite difference approximations for a fractional advection diffusion problem
- Higher order finite difference method for the reaction and anomalous-diffusion equation
- Finite difference approximations for fractional advection-dispersion flow equations
- A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates
- Formal consistency versus actual convergence rates of difference schemes for fractional-derivative boundary value problems
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A weighted ADI scheme for subdiffusion equations
- A fully discrete difference scheme for a diffusion-wave system
- Weighted average finite difference methods for fractional diffusion equations
- Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems
- Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes’ First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative
- HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2
- Fast algorithms for high-order numerical methods for space-fractional diffusion equations
- A class of second order difference approximations for solving space fractional diffusion equations
- A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
- Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
- Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain
- A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations
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