Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries
type: Item
instance of: scholarly article
title: Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries
zbMATH Open document ID: 1398.34019
author: Alessandra Jannelli
author: Marianna Ruggieri
author: Maria Paola Speciale
published in: Nonlinear Dynamics
publication date: 2018-10-23T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 6962384
zbMATH Keywords: fractional derivatives
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: Lie symmetry
zbMATH Keywords: implicit finite difference method
zbMATH Keywords: error estimates
describes a project that uses: DESOLVII
describes a project that uses: ASP
describes a project that uses: FracPECE
MaRDI profile type: Publication
full work available at URL: s11071-018-4074-8
OpenAlex ID: W2792819779
cites work: Q5699297
cites work: Q3141895
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141902
cites work: Adomian decomposition: a tool for solving a system of fractional differential equations
cites work: Solution to the linear fractional differential equation using Adomian decomposition method
cites work: Analytic solutions of fractional differential equations by operational methods
cites work: Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods
cites work: Q3656159
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Homotopy perturbation method for nonlinear partial differential equations of fractional order
cites work: Fractional calculus - A different approach to the analysis of viscoelastically damped structures
cites work: Q5190149
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
cites work: Applications of fractional calculus in physics
cites work: Approximate analysis of a nonlinear dissipative model
cites work: Lie group analysis of a wave equation with a small nonlinear dissipation
cites work: Approximate symmetries in viscoelasticity
cites work: On the construction of conservation laws: A mixed approach
cites work: Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
cites work: Group-Invariant Solutions of Fractional Differential Equations
cites work: A theorem on the existence of symmetries of fractional PDEs
cites work: Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
cites work: Lie symmetry analysis and exact solution of certain fractional ordinary differential equations
cites work: Symmetry analysis and conservation laws to the space-fractional Prandtl equation
cites work: Fractional Lie group method of the time-fractional Boussinesq equation
cites work: Finding higher symmetries of differential equations using the MAPLE package DESOLVII
cites work: ASP: automated symbolic computation of approximate symmetries of differential equations
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
cites work: Detailed error analysis for a fractional Adams method
cites work: Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
cites work: Discretized Fractional Calculus
cites work: Trapezoidal methods for fractional differential equations: theoretical and computational aspects
cites work: A 3D mathematical model for the prediction of mucilage dynamics
cites work: Second Order Numerical Operator Splitting for 3D Advection–Diffusion-Reaction Models
cites work: Optimal experiment design for identification of ARX models with constrained output in non-Gaussian noise
cites work: Identification of time‐varying OE models in presence of non‐Gaussian noise: Application to pneumatic servo drives
cites work: Joint state and parameter robust estimation of stochastic nonlinear systems
cites work: Robust identification of OE model with constrained output using optimal input design
DOI: 10.1007/S11071-018-4074-8
description: scientific article; zbMATH DE number 6962384