Solution of linear partial differential equations by Lie algebraic methods

DOI10.1016/S0377-0427(96)00099-4zbMath0871.35021MaRDI QIDQ5961653

Fernando Casas

Publication date: 26 February 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fer's factorization

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05) Initial value problems for higher-order parabolic equations (35K30)

Related Items (4)

Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation ⋮ The solution existence and convergence analysis for linear and nonlinear differential-operator equations in Banach spaces within the Calogero type projection-algebraic scheme of discrete approximations ⋮ Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization ⋮ Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
• Fer's factorization as a symplectic integrator
• Lie algebraic methods and solutions of linear partial differential equations
• Lie algebraic solutions of linear Fokker–Planck equations
• Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
• Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0
• Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 by Normal-Ordering Exponential Operators
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials

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