Piecewise fractional interpolation with application to fractional differential equation
DOI10.1007/s10915-020-01373-zzbMath1465.65062OpenAlexW3118846511WikidataQ115382677 ScholiaQ115382677MaRDI QIDQ2027965
Mohammadreza Yarmohammadi, Shahnam Javadi
Publication date: 28 May 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01373-z
predictor-corrector methodsfractional differential equationsorder of convergencepiecewise fractional interpolantssingularity indexes
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- Too much regularity may force too much uniqueness
- Error estimates of a high order numerical method for solving linear fractional differential equations
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Quadrature rule for Abel's equations: Uniformly approximating fractional derivatives
- Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry
- On the fractional Adams method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Analytical approximate solutions for nonlinear fractional differential equations
- The flaw in the conformable calculus: it is conformable because it is \textit{not} fractional
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- Solution of fractional differential equations by using differential transform method
- A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- Variational formulation for the stationary fractional advection dispersion equation
- Analysis of fractional differential equations
This page was built for publication: Piecewise fractional interpolation with application to fractional differential equation
