Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation
DOI10.1007/s11075-019-00767-xzbMath1465.65093OpenAlexW2960026191WikidataQ127478062 ScholiaQ127478062MaRDI QIDQ2181668
Hui Zhang, Rumeng Zheng, Xiao-yun Jiang
Publication date: 19 May 2020
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00767-x
Bayesian methodstability and convergence analysisChebyshev-Legendre spectral schemeinverse problem analysisspace fractional BBM equation
Inverse problems for PDEs (35R30) Best approximation, Chebyshev systems (41A50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- Galerkin finite element method and error analysis for the fractional cable equation
- An inverse problem for a generalized fractional diffusion
- Fractional variational iteration method and its application
- A Bayesian approach to spatial prediction with flexible variogram models
- A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains
- An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue
- Anomalous diffusion modeling by fractal and fractional derivatives
- A new method for parameter estimation of edge-preserving regularization in image restoration
- Numerical solution of the three-dimensional advection--diffusion equation.
- Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods
- Multimodal, high-dimensional, model-based, Bayesian inverse problems with applications in biomechanics
- Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
- Bayesian inference of the fractional Ornstein-Uhlenbeck process under a flow sampling scheme
- A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing
- Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation
- On inverse problems for characteristic sources in Helmholtz equations
- Application of the Newton iteration algorithm to the parameter estimation for dynamical systems
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Numerical analysis of an operational Jacobi tau method for fractional weakly singular integro-differential equations
- A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation
- Using Bayesian statistics in the estimation of heat source in radiation
- Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation
- Two finite difference schemes for time fractional diffusion-wave equation
- Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
- Spectral Methods
- The Chebyshev–Legendre Method: Implementing Legendre Methods on Chebyshev Points
- Posterior consistency for Gaussian process approximations of Bayesian posterior distributions
- Hierarchical Bayesian models for inverse problems in heat conduction
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Stochastic Collocation Algorithms Using $l_1$-Minimization for Bayesian Solution of Inverse Problems
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- Remarks on the Mass Constraint for KP-Type Equations
- Model equations for long waves in nonlinear dispersive systems
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
- A weak Galerkin finite element method for the Navier-Stokes equations
- Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition
This page was built for publication: Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation