非线性热传导方程的重心理性配置方法

J. Appl. Math. Pub Date : 2022-06-30 DOI:10.1155/2022/8998193

Jin Li

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引用次数: 0

摘要

提出了用重心有理配点法求解非线性热方程的方法。提出了直接线性化方法和牛顿线性化方法，将非线性热传导方程转化为线性方程。得到了非线性热传导方程的矩阵形式。给出了几个数值算例，验证了所提方案的有效性。

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Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation

Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations. The matrix form of nonlinear heat conduction equation is also obtained. Several numerical examples are provided to valid our schemes.

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来源期刊

J. Appl. Math.

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