An efficient explicit decoupled group method for solving two-dimensional fractional Burgers' equation and its convergence analysis

DOI10.1155/2021/6669287zbMath1481.65117OpenAlexW3136928437MaRDI QIDQ2247637

N. Abdi, M. Taghipour, Hossein Aminikhah, Amirhossein Refahi Sheikhani, Javad Alavi

Publication date: 17 November 2021

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

Full work available at URL: https://doi.org/10.1155/2021/6669287

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (3)

Numerical solution of two-dimensional time fractional mobile/immobile equation using explicit group methods ⋮ Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation ⋮ On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator

Cites Work

• A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation
• Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel
• The role of fractional calculus in modeling biological phenomena: a review
• A hybrid numerical method for the KdV equation by finite difference and sinc collocation method
• A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo-Fabrizio operator
• Chaotic analysis and adaptive synchronization for a class of fractional order financial system
• A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative
• The four point explicit decoupled group (EDG) Method: a fast poisson solver
• A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
• Fractional Calculus Applications in Modeling and Design of Control Systems
• High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative
• Computational Methods for Multiphase Flows in Porous Media
• Hamiltonian circuited simulations of elliptic partial differential equations using a spark
• New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques
• Analytical and numerical study of the HIV‐1 infection of CD4⁺ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy
• Unnamed Item

This page was built for publication: An efficient explicit decoupled group method for solving two-dimensional fractional Burgers' equation and its convergence analysis