An Explicit Difference Scheme for a Nonlinear Heat Conduction Equation
Mathematical Models and Computer Simulations(2023)
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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