Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods
DOI10.1016/j.chaos.2022.111915zbMath1498.65157OpenAlexW4212947829MaRDI QIDQ2098690
Somayeh Fouladi, Mohammad Shafi Dahaghin
Publication date: 18 November 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111915
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- Fractional dynamics in DNA
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Local discontinuous Galerkin methods for fractional ordinary differential equations
- Fractional calculus models of complex dynamics in biological tissues
- Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model.
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation
- Completely monotone generalized Mittag-Leffler functions
- Some high order formulae for approximating Caputo fractional derivatives
- Blind in a commutative world: simple illustrations with functions and chaotic attractors
- The role of fractional calculus in modeling biological phenomena: a review
- Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations
- A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
- Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space
- An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
- Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel
- Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations
- Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law
- A numerical method for fractal conservation laws
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model
- Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform
- Splitting methods for the nonlocal Fowler equation
- Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance
- A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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