Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation
From MaRDI portal
Publication:2672388
DOI10.1016/j.matcom.2022.04.015OpenAlexW4226324037WikidataQ113869147 ScholiaQ113869147MaRDI QIDQ2672388
Rohollah Bakhshandeh-Chamazkoti, Mohsen Alipour
Publication date: 8 June 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.08028
spectral methodinfinitesimalfractional derivativeprolongationLie symmetryoptimal systemBernstein operational matricessimilarly solution
Related Items (3)
Symmetry reduction and exact solutions of the \((3+1)\)-dimensional nKdV-nCBS equation ⋮ An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lie symmetry analysis of the time fractional KdV-type equation
- Group classification of nonlinear time-fractional diffusion equation with a source term
- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- Lie symmetries of a generalized Kuznetsov-Zabolotskaya-Khokhlov equation
- A foundational approach to the Lie theory for fractional order partial differential equations
- A tau approach for solution of the space fractional diffusion equation
- Generalization of the double reduction theory
- Symmetry group classification for general Burgers equation
- A symmetry classification for a class of \((2+1)\)-nonlinear wave equation
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Applications of symmetry methods to partial differential equations
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
- Group analysis and exact solutions of the time fractional Fokker-Planck equation
- The Bernstein operational matrices for solving the fractional quadratic Riccati differential equations with the Riemann-Liouville derivative
- Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov-Ivanov equation using optimal system of Lie subalgebra
- Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
- A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation
- Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients
- Solving systems of fractional differential equations using differential transform method
- Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
- On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
- Computational method based on Bernstein operational matrices for multi-order fractional differential equations
- On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions
- Generalized Lie symmetry approach for fractional order systems of differential equations. III
- Fractional‐order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro‐differential equations
- Second-order differential invariants of a family of diffusion equations
- On invariant analysis of space-time fractional nonlinear systems of partial differential equations. II
This page was built for publication: Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation
