Local discontinuous Galerkin method for the Riesz space distributed-order Sobolev equation
From MaRDI portal
Publication:6539829
DOI10.1016/J.ENGANABOUND.2023.05.046zbMATH Open1537.6513MaRDI QIDQ6539829
S. Fouladi, Hadi Mohammadi-Firouzjaei
Publication date: 15 May 2024
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
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) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
- Galerkin finite element method for nonlinear fractional Schrödinger equations
- Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type
- On the conservation of fractional nonlinear Schrödinger equation's invariants by the local discontinuous Galerkin method
- An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
- A novel finite volume method for the Riesz space distributed-order diffusion equation
- Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation
- A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
- Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations
- Chaos, fractional kinetics, and anomalous transport
- On the numerical inversion of the Laplace transform of certain holomorphic mappings
- 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
- A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains
- An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
- Fast L2-1\(_\sigma\) Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives
- Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods
- Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis
- Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise
- Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation
- Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction
- 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
- Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains
- On the convergence of the local discontinuous Galerkin method applied to a stationary one dimensional fractional diffusion problem
- Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity
- A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
- A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations
- Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes
- The global existence and time-decay for the solutions of the fractional pseudo-parabolic equation
- Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
- Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations
- Spectral Methods
- Distributed-Order Dynamic Systems
- The Accurate Numerical Inversion of Laplace Transforms
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation
- High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations
- Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
- A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: numerical simulations of Gordon-type solitons
- Convergence and superconvergence analysis for nonlinear delay reaction–diffusion system with nonconforming finite element
- Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics
- Identifying the initial condition for space-fractional Sobolev equation
Related Items (2)
Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels ⋮ Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: computational approach for one-dimensional case
This page was built for publication: Local discontinuous Galerkin method for the Riesz space distributed-order Sobolev equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6539829)
