An Explicit Difference Scheme for a Nonlinear Heat Conduction Equation

B. N. Chetverushkin,O. G. Olkhovskaya,V. A. Gasilov

Mathematical Models and Computer Simulations（2023）

Keldysh Institute of Applied Mathematics

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摘要

We develop an algorithm for the numerical treatment of nonlinear heat conduction problems, which is adapted to the architecture of high-performance computing systems. The technique is based on a hyperbolic heat conduction model and explicit difference scheme. The new scheme provides the second-order temporal resolution of nonlinearity with an acceptable time step. Its application to plasma dynamic simulations is discussed.

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关键词

nonlinear heat conduction equation,hyperbolic heat conduction model,explicit difference scheme,high-performance computing

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