Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations
From MaRDI portal
Publication:2664817
DOI10.1016/j.matcom.2021.04.015OpenAlexW3159113645WikidataQ114149970 ScholiaQ114149970MaRDI QIDQ2664817
Publication date: 18 November 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.04.015
Klein-Gordon equationNoether's theoremLie symmetryfractional integro-differential equationChebyshev spectral collocation method
Related Items (6)
Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black-Scholes equation ⋮ Symmetry reductions, generalized solutions and dynamics of wave profiles for the \((2+1)\)-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations ⋮ Conservation laws analysis of nonlinear partial differential equations and their linear soliton solutions and Hamiltonian structures ⋮ Group analysis, invariance results, exact solutions and conservation laws of the perturbed fractional Boussinesq equation ⋮ The new solitary solutions to the time-fractional coupled Jaulent-Miodek equation ⋮ Numerical conservation laws of time fractional diffusion PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
- A foundational approach to the Lie theory for fractional order partial differential equations
- On nonlinear fractional Klein-Gordon equation
- Constructing conservation laws for fractional-order integro-differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method
- Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
- Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation
- A new collection of real world applications of fractional calculus in science and engineering
- Anisotropic non-linear time-fractional diffusion equation with a source term: classification via Lie point symmetries, analytic solutions and numerical simulation
- Spectral Methods
- Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation
- Analyzing Lie symmetry and constructing conservation laws for time-fractional Benny–Lin equation
- How to construct the discrete symmetries of partial differential equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Group analysis of kinetic equations
- A new analytical solution of Klein–Gordon equation with local fractional derivative
- Symmetry properties, similarity reduction and exact solutions of fractional Boussinesq equation
This page was built for publication: Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations
