Numerical solution of two‐dimensional nonlinear Riesz space‐fractional reaction–advection–diffusion equation using fast compact implicit integration factor method
DOI10.1002/ZAMM.202200334MaRDI QIDQ6130825
Tomasz Sadowski, Subir Das, Unnamed Author, Unnamed Author
Publication date: 3 April 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
system of ordinary differential equationsGrünwald-Letnikov approximationsRiesz space-fractional reaction-advection-diffusion equationRiesz space-fractional reaction-diffusion equation
Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- High-order algorithms for Riesz derivative and their applications. II
- Solution of the nonlinear fractional diffusion equation with absorbent term and external force
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Analytical solution of a fractional diffusion equation by variational iteration method
- Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
- A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients
- Chaos, fractional kinetics, and anomalous transport
- Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays
- Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
- Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems
- Finite Difference Schemes for a Non-linear Heat Equation with Functional Dependence
- On the maximum and comparison principles for a steady-state nonlinear heat conduction problem
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Fractional kinetic equations: solutions and applications
- Study of one‐dimensional space‐time fractional‐order Burgers‐Fisher and Burgers‐Huxley fluid models
- Numerical solution of multi‐term fractional differential equations
- Study and analysis of a two‐dimensional nonconservative fractional order aerosol transport equation
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Stationary energy models for semiconductor devices with incompletely ionized impurities
- A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
- A positive scheme for diffusion problems on deformed meshes
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