Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems
DOI10.1016/j.amc.2019.124638zbMath1433.65146OpenAlexW2969726652MaRDI QIDQ2284052
Publication date: 14 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.124638
convergence ratespectral methodsystem of fractional differential equationssingularity indexgeneralized Jacobi functions
Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (3)
Cites Work
- Unnamed Item
- A multi-domain spectral method for time-fractional differential equations
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
- 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
- Spectral collocation method for linear fractional integro-differential equations
- Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations
- Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
- Solving systems of fractional differential equations using differential transform method
- A general formulation and solution scheme for fractional optimal control problems
- Solving a system of nonlinear fractional differential equations using Adomian decomposition
- Solution of fractional differential equations by using differential transform method
- Generalized Jacobi functions and their applications to fractional differential equations
- Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations
- Spectral Methods
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
- Polynomial spectral collocation method for space fractional advection–diffusion equation
- Fractional Spectral Collocation Method
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