General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation
DOI10.1016/j.camwa.2022.03.021zbMath1504.65219OpenAlexW4221054930MaRDI QIDQ2122624
Publication date: 7 April 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.03.021
stabilityconvergencespectral Galerkin methodgeneral linear methodGauss quadrature formulanonlinear two-sided space distributed-order diffusion equation
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mixed-type systems of PDEs (35M30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
- Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
- Stability and B-convergence of general linear methods
- Numerical analysis for distributed-order differential equations
- B-convergence of general linear methods for stiff problems.
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
- A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
- \(B\)-theory of general linear methods for Volterra functional differential equations
- Adaptive flocking with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity
- An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain
- Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation
- An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
- A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation
- Analysis of a hidden memory variably distributed-order space-fractional diffusion equation
- Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions
- Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation
- A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
- A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver
- A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis
- A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients
- A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
- General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation
- An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions
- A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Non-linear stability of a general class of differential equation methods
- On the error of general linear methods for stiff dissipative differential equations
- Stability and $B$-convergence properties of multistep Runge-Kutta methods
- Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation