An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets
DOI10.1016/j.apnum.2019.05.023zbMath1433.74116OpenAlexW2947825288MaRDI QIDQ2273032
Pedro M. Lima, Parisa Rahimkhani, Yadollah Ordokhani
Publication date: 18 September 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2019.05.023
numerical methodfractional integral operatordistributed-order fractional derivativeChelyshkov wavelets
Numerical methods for wavelets (65T60) Spectral and related methods applied to problems in solid mechanics (74S25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Related Items (17)
Cites Work
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- An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
- Numerical solution of distributed order fractional differential equations
- A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
- Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod
- Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
- Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
- Convergence of the variational iteration method for solving multi-order fractional differential equations
- A new Legendre wavelet operational matrix of derivative and its applications in solving the singular ordinary differential equations
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
- A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
- Solving a nonlinear fractional differential equation using Chebyshev wavelets
- An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
- An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
- Fractional calculus models of complex dynamics in biological tissues
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Numerical analysis for distributed-order differential equations
- Fractional differential equations in electrochemistry
- Numerical approach for a class of distributed order time fractional partial differential equations
- A Legendre collocation method for distributed-order fractional optimal control problems
- Modified Chebyshev wavelet methods for fractional delay-type equations
- Numerical solution of nonlinear integral equations using alternative Legendre polynomials
- Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
- Variable order and distributed order fractional operators
- A generalized model for the uniaxial isothermal deformation of a viscoelastic body
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- Fractional-order Bernoulli wavelets and their applications
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- Numerical solution of distributed order fractional differential equations by hybrid functions
- New quadrature approach based on operational matrix for solving a class of fractional variational problems
- Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part
- An efficient approximate method for solving delay fractional optimal control problems
- Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
- Modified methods for solving two classes of distributed order linear fractional differential equations
- Distributed-order fractional diffusions on bounded domains
- A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
- Differential Equations with Applications and Historical Notes, Third Edition
- Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
- Analysis of time-delay systems using the Galerkin method
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
- A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- On a fractional distributed-order oscillator
- Spectral Methods
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