Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis

DOI10.1016/j.matcom.2022.09.020OpenAlexW4304890571MaRDI QIDQ2104351

H. R. Marasi, M. H. Derakhshan

Publication date: 7 December 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.09.020

zbMATH Keywords

convergence and stability analysisweighted finite difference methodquintic Hermite collocation methodvariable fractional order mobile-immobile advection-dispersion modelVOMIM-AD model

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• On the stability and convergence of the time-fractional variable order telegraph equation
• Spectral regularization method for the time fractional inverse advection-dispersion equation
• A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
• An analytic solution for the space-time fractional advection-dispersion equation using the optimal homotopy asymptotic method
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• The variable-order fractional calculus of variations
• Finite difference approach for variable order reaction-subdiffusion equations
• Applications of quintic Hermite collocation with time discretization to singularly perturbed problems
• 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
• A new decoupling technique for the Hermite cubic collocation equations arising from boundary value problems
• Fractional derivatives with no-index law property: application to chaos and statistics
• Numerical approximation of time fractional partial integro-differential equation based on compact finite difference scheme
• Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order
• Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels
• Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations
• Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations
• A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
• A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
• On error bounds for spline interpolation
• A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation
• Cubic Hermite collocation solution of Kuramoto–Sivashinsky equation
• Modeling some real phenomena by fractional differential equations
• Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
• Non standard finite difference method for solving variable order fractional optimal control problems
• A simple numerical method for two‐dimensional nonlinear fractional anomalous sub‐diffusion equations
• An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model
• An efficient numerical method for the solution of 2D variable order time fractional mobile–immobile advection–dispersion model
• Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays
• Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model
• A new approach for solving multi-variable orders differential equations with Prabhakar function
• A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations
• Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

This page was built for publication: Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis