Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations

DOI10.1016/J.CAMWA.2022.08.003OpenAlexW4293200557WikidataQ114672438 ScholiaQ114672438MaRDI QIDQ2079749

Hong Du, Zhong Chen

Publication date: 30 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.003

zbMATH Keywords

reproducing kernel Hilbert spacevariable order fractional differential equationsadaptive meshless methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (1)

Meshless method of solving multi-term time-fractional integro-differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A local weak form meshless method to simulate a variable order time-fractional mobile-immobile transport model
• A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation
• A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain
• A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model
• A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation
• A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel
• A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
• Error bounds for bicubic spline interpolation
• An efficient numerical method for the solution of 2D variable order time fractional mobile–immobile advection–dispersion model
• Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model

This page was built for publication: Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations