A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations

DOI10.1016/j.amc.2014.08.039zbMath1339.65108OpenAlexW2042887002MaRDI QIDQ299938

Kaiying Deng, Tieli Sun, Minghua Chen

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.039

zbMATH Keywords

alternating direction implicit methodfractional wave equationleft Riemann-Liouville fractional derivativeright Riemann-Liouville fractional derivativeweighted numerical algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Related Items (11)

A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation ⋮ Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation ⋮ Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation ⋮ Modified homotopy perturbation approach for the system of fractional partial differential equations: A utility of fractional Wronskian ⋮ Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation ⋮ On boundary value problems for impulsive fractional differential equations ⋮ Energy estimates for two-dimensional space-Riesz fractional wave equation ⋮ Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation ⋮ A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation ⋮ The numerical analysis of two-sided space-fractional wave equation with improved moving least-square Ritz method ⋮ The time discontinuous space-time finite element method for fractional diffusion-wave equation

Uses Software

• FODE

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element multigrid method for the boundary value problem of fractional advection dispersion equation
• Numerical solution of two-sided space-fractional wave equation using finite difference method
• Numerical approximations for fractional diffusion equations via splines
• Approximate solutions for boundary value problems of time-fractional wave equation
• Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
• Fractals and fractional calculus in continuum mechanics
• The fundamental solutions for the fractional diffusion-wave equation
• Scaling laws for fractional diffusion-wave equations with singular data
• A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation
• Finite difference approximations for fractional advection-dispersion flow equations
• A new approach for solving fractional partial differential equations
• A high-accuracy MOC/FD method for solving fractional advection-diffusion equations
• Numerical algorithm for the time fractional Fokker-Planck equation
• A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• Finite difference approximations for two-sided space-fractional partial differential equations
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
• Local Discontinuous Galerkin methods for fractional diffusion equations
• Basic Theory of Fractional Differential Equations
• Efficient Numerical Algorithms for Three-Dimensional Fractional Partial Differential Equations

This page was built for publication: A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations