Numerical solution of two-dimensional time fractional mobile/immobile equation using explicit group methods

DOI10.1007/s40819-022-01408-zOpenAlexW4285491006MaRDI QIDQ2170921

Ajmal Ali, Fouad Mohammad Salama, Umair Ali

Publication date: 8 September 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01408-z

zbMATH Keywords

stabilityconvergencenumerical experimentsgrouping strategyCrank-Nicolson finite differencefractional mobile/immobile equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (2)

Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation ⋮ Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods

Cites Work

• Unnamed Item
• Introduction to fractional differential equations
• A review of applications of fractional calculus in Earth system dynamics
• Two numerical methods for fractional partial differential equation with nonlocal boundary value problem
• A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation
• An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation
• High-order rotated grid point iterative method for solving 2D time fractional telegraph equation and its convergence analysis
• The memory effect on fractional calculus: an application in the spread of COVID-19
• Fractional derivatives with no-index law property: application to chaos and statistics
• A spline collocation method for a fractional mobile-immobile equation with variable coefficients
• Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation
• New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
• A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid
• A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
• Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
• A new collection of real world applications of fractional calculus in science and engineering
• Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models
• An efficient explicit decoupled group method for solving two-dimensional fractional Burgers' equation and its convergence analysis
• A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
• A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
• Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation
• Atangana-Baleanu fractional model for the flow of Jeffrey nanofluid with diffusion-thermo effects: applications in engine oil
• Applications in Physics, Part B
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• Applications of fractional derivatives to nanofluids: exact and numerical solutions
• Fractional Order Analysis
• Numerical Methods for Fractional Differentiation

This page was built for publication: Numerical solution of two-dimensional time fractional mobile/immobile equation using explicit group methods