Group theoretic methods applied to Burgers' equation

DOI10.1016/S0377-0427(99)00170-3zbMath0942.35157MaRDI QIDQ1971809

Samy M. A. El-Mansi, Mina B. Abd-El-malek

Publication date: 23 March 2000

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

zbMATH Keywords

Burgers' equationCole-Hopf transformationgroup theoretic method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Local Lie groups (22E05)

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Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method, On solutions to a novel non-evolutionary integrable 1 + 1 PDE, Group method solutions of the generalized forms of Burgers, Burgers-KdV and KdV equations with time-dependent variable coefficients, Numerical solution of Burgers' equation by B-spline collocation, Group method analysis of magneto-elastico-viscous flow along a semi-infinite flat plate with heat transfer, Numerical solution of the Burgers' equation by automatic differentiation, Numerical solution of Burgers' equation by quadratic B-spline finite elements, An exponentially fitted method for solving Burgers' equation, A Novel Spectral Method for Burgers Equation on The Real Line, Numerical solution of Burgers' equation with factorized diagonal Padé approximation, Group-theoretic approach for solving the problem of diffusion of a drug through a thin membrane

Uses Software

• SPDE

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