Constructing a new geometric numerical integration method to the nonlinear heat transfer equations

DOI10.1016/j.cnsns.2014.09.026zbMath1334.80015OpenAlexW1987416158WikidataQ57834731 ScholiaQ57834731MaRDI QIDQ907662

N. E. Zubov

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.09.026

zbMATH Keywords

heat transfer equationsgroup preserving scheme\(\mathrm{SL}(2,\mathbb{R})\)-shooting methodconvective-radiative-conduction fin problem

Mathematics Subject Classification ID

Related Items (10)

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Cites Work

• Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group \(SL(2,\mathbb R)\)
• Application of He's variational iteration method to nonlinear heat transfer equations
• Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity
• The Lie-group shooting method for solving the Bratu equation
• Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations
• Exact analytical solution of a nonlinear equation arising in heat transfer
• Cone of non-linear dynamical system and group preserving schemes
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity
• Group preserving scheme for the Cauchy problem of the Laplace equation
• Developing an \(SL(2,\mathbb R)\) Lie-group shooting method for a singular \(\phi\)-Laplacian in a nonlinear ODE
• Applications of Lie Groups to Difference Equations
• Geometric numerical integration illustrated by the Störmer–Verlet method

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