Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries
DOI10.1478/aapp.991a4MaRDI QIDQ6647571
Maria Paola Speciale, Alessandra Jannelli
Publication date: 3 December 2024
Published in: Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali (Search for Journal in Brave)
fractional derivativesdiffusion-reaction equationLie symmetryimplicit numerical methodserror estimate and convergence analysis
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods
- Analytic solutions of fractional differential equations by operational methods
- ASP: automated symbolic computation of approximate symmetries of differential equations
- Solution to the linear fractional differential equation using Adomian decomposition method
- Adomian decomposition: a tool for solving a system of fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Space-time fractional diffusion-advection equation with Caputo derivative
- Nonlocal transport processes and the fractional Cattaneo-Vernotte equation
- Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries
- Finding higher symmetries of differential equations using the MAPLE package DESOLVII
- Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
- Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term
- Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
- Implicit-explicit time integration of nonlinear fractional differential equations
- Modeling and simulation of the fractional space-time diffusion equation
- Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations
- Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation
- A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
- A monotone finite volume method for time fractional Fokker-Planck equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- An efficient quadratic finite volume method for variable coefficient Riesz space‐fractional diffusion equations
- Group-Invariant Solutions of Fractional Differential Equations
- Symmetries and differential equations
- Finite difference/collocation method to solve multi term variable‐order fractional reaction–advection–diffusion equation in heterogeneous medium
- Generalized ‐expansion method for some soliton wave solutions of Burgers‐like and potential<scp>KdV</scp>equations
Related Items (1)
This page was built for publication: Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries