NUMERICAL SIMULATIONS FOR THE VARIABLE ORDER TWO-DIMENSIONAL REACTION SUB-DIFFUSION EQUATION: LINEAR AND NONLINEAR

DOI10.1142/S0218348X22400199OpenAlexW3198438337MaRDI QIDQ5062396

Mohamed H. Adel

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22400199

zbMATH Keywords

numerical treatmentsanalysis of the stabilityvariable order two-dimensional reaction sub-diffusion equation (2DVORSE)WAFDM

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Parabolic equations and parabolic systems (35Kxx)

Related Items (1)

Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
• Numerical analysis for a variable-order nonlinear cable equation
• Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
• Numerical simulations for a variable order fractional cable equation
• Finite difference approach for variable order reaction-subdiffusion equations
• Generalized Lucas polynomial sequence approach for fractional differential equations
• Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations
• A new adaptive synchronization and hyperchaos control of a biological snap oscillator
• A new fractional HRSV model and its optimal control: a non-singular operator approach
• Numerical approach for solving the Riccati and logistic equations via QLM-rational Legendre collocation method
• Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
• Discretized Fractional Calculus
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• Spectral Methods in MATLAB
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• A simple numerical method for two‐dimensional nonlinear fractional anomalous sub‐diffusion equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: NUMERICAL SIMULATIONS FOR THE VARIABLE ORDER TWO-DIMENSIONAL REACTION SUB-DIFFUSION EQUATION: LINEAR AND NONLINEAR