Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations
From MaRDI portal
Publication:2207369
DOI10.1016/j.cnsns.2019.01.005zbMath1464.65078OpenAlexW2909754387MaRDI QIDQ2207369
António M. Lopes, Mohamed A. Abdelkawy, Ahmed Z. M. Amin, Eid H. Doha
Publication date: 22 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.01.005
spectral collocation methodRiemann-Liouville derivativefractional integro-differential equationJacobi-Gauss quadrature
Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Functional-differential equations with fractional derivatives (34K37)
Related Items
Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order, Galerkin operational approach for multi-dimensions fractional differential equations, Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional, Fractional Chebyshev deep neural network (FCDNN) for solving differential models, An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions, Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order, A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions, Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations, On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations, On Romanovski–Jacobi polynomials and their related approximation results, Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches, An efficient numerical algorithm for solving nonlinear fractional Volterra integro-differential equation, Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations, Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations, A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation, Spectral Galerkin schemes for a class of multi-order fractional pantograph equations, A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis, Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches, A spectral collocation technique for Riesz fractional Chen-Lee-Liu equation, Sumudu Lagrange-spectral methods for solving system of linear and nonlinear Volterra integro-differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
- A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations
- A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
- Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
- The \(L^{2}\)-convergence of the Legendre spectral tau matrix formulation for nonlinear fractional integro differential equations
- Homotopy analysis method for higher-order fractional integro-differential equations
- A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
- A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
- An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method
- On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
- Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
- Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions
- Numerical methods for fourth-order fractional integro-differential equations
- Jacobi spectral Galerkin methods for fractional integro-differential equations
- Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
- Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
- Jacobi collocation approximation for solving multi-dimensional Volterra integral equations
- A unified Petrov-Galerkin spectral method for fractional PDEs
- Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
- On spectral methods for solving variable-order fractional integro-differential equations
- Spectral collocation method for linear fractional integro-differential equations
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
- Efficient quadrature rules for solving nonlinear fractional integro-differential equations of the Hammerstein type
- Analytical treatment of Volterra integro-differential equations of fractional order
- An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics
- The construction of operational matrix of fractional integration using triangular functions
- Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains
- Numerical solution of fractional integro-differential equations by collocation method
- Finite difference approximations for two-sided space-fractional partial differential equations
- A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel
- Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
- Spectral Methods
- A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation
