Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations

DOI10.1155/2015/590435zbMath1380.65188OpenAlexW2173574260WikidataQ59102516 ScholiaQ59102516MaRDI QIDQ277742

Fawang Liu, Xue Bin Wang, Xuehui Chen

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/590435

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times, Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data, On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme, General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation, High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format, A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation, Numerical approach for a class of distributed order time fractional partial differential equations, The application of the distributed-order time fractional Bloch model to magnetic resonance imaging, A method of finding source function for inverse diffusion problem with time-fractional derivative, Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation, High-order numerical method for solving a space distributed-order time-fractional diffusion equation, CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross-Pitaevskii system, A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations, Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation, A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation, Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion, A fourth‐order accurate numerical method for the distributed‐order Riesz space fractional diffusion equation, A fast Alikhanov algorithm with general nonuniform time steps for a two‐dimensional distributed‐order time–space fractional advection–dispersion equation, A study of distributed‐order time fractional diffusion models with continuous distribution weight functions, Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation, A structure-preserving Bhattacharya method for nonlinear parabolic equations with fractional diffusion and advection, A novel finite element method for the distributed-order time fractional Cable equation in two dimensions, A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations, The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application, Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation, An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system, A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation, A novel finite volume method for the Riesz space distributed-order diffusion equation, A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system, Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme, Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation, Unnamed Item, Third Order Iterative Method for Nonlinear Difference Schemes, A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation, Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation, A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients, 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, Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method, PCG method with Strang's circulant preconditioner for Hermitian positive definite linear system in Riesz space fractional advection-dispersion equations, A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion, An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions, Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations, Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system, A novel finite volume method for the Riesz space distributed-order advection-diffusion equation, The new approximate analytic solution for oxygen diffusion problem with time-fractional derivative, An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy, Analysis and numerical methods for the Riesz space distributed-order advection-diffusion equation with time delay, On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation, Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system, Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system, An efficient and fully explicit model to simulate delayed activator-inhibitor systems with anomalous diffusion, A numerically efficient Hamiltonian method for fractional wave equations, Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique, Discrete monotone method for space-fractional nonlinear reaction-diffusion equations

Cites Work