Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative

DOI10.1007/s40096-017-0232-2zbMath1407.65084OpenAlexW2740420985WikidataQ59481096 ScholiaQ59481096MaRDI QIDQ1992058

Yanyan Li

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-017-0232-2

zbMATH Keywords

fractional differential equationsmultiquadric radial basis functionsnative spacesCaputo-fabrizio derivative

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (10)

A numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative ⋮ THE NUMERICAL STRATEGY OF TEMPERED FRACTIONAL DERIVATIVE IN EUROPEAN DOUBLE BARRIER OPTION ⋮ On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix ⋮ Two new approximations to Caputo–Fabrizio fractional equation on non-uniform meshes and its applications ⋮ ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM ⋮ An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations ⋮ New predictor‐corrector scheme for solving nonlinear differential equations with Caputo‐Fabrizio operator ⋮ Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media ⋮ Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media ⋮ Numerical solution of the conformable differential equations via shifted Legendre polynomials

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Damage and fatigue described by a fractional derivative model
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Optimal constant shape parameter for multiquadric based RBF-FD method
• Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
• The generalized Hardy operator with kernel and variable integral limits in Banach function spaces
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Radial basis function approximation methods with extended precision floating point arithmetic
• Error estimate in fractional differential equations using multiquadratic radial basis functions
• Solving differential equations with radial basis functions: Multilevel methods and smoothing
• A numerical method for heat transfer problems using collocation and radial basis functions
• Radial Basis Functions
• $L_p$-error estimates for ``shifted surface spline interpolation on Sobolev space
• Spectral Methods

This page was built for publication: Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative