Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations
From MaRDI portal
Publication:2204411
DOI10.1016/j.cnsns.2019.105132zbMath1450.65182OpenAlexW2995765547WikidataQ126542814 ScholiaQ126542814MaRDI QIDQ2204411
Publication date: 15 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.2019.105132
convergencestability analysisfractional integro-differential equationRunge-Kutta convolution quadrature method
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items
A block-by-block approach for nonlinear fractional integro-differential equations ⋮ Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate ⋮ Iterative Continuous Collocation Method for Solving nonlinear Volterra Integro-differential Equations ⋮ Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order ⋮ Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized convolution quadrature based on Runge-Kutta methods
- Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation
- Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
- Runge-Kutta convolution quadrature for operators arising in wave propagation
- An error analysis of Runge-Kutta convolution quadrature
- Numerical methods for fourth-order fractional integro-differential equations
- Solution of a class of Volterra integral equations with singular and weakly singular kernels
- Numerical approach to differential equations of fractional order
- Efficient high order algorithms for fractional integrals and fractional differential equations
- Convolution quadrature revisited
- On spectral methods for solving variable-order fractional integro-differential equations
- Spectral collocation method for linear fractional integro-differential equations
- Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
- Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel
- Numerical analysis of an operational Jacobi tau method for fractional weakly singular integro-differential equations
- Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions
- Numerical solution of fractional integro-differential equations by a hybrid collocation method
- Solution of fractional differential equations by using differential transform method
- Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
- Fast and Parallel Runge--Kutta Approximation of Fractional Evolution Equations
- Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge–Kutta convolution quadrature
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
