The behavior of Cattaneo-Hristov heat diffusion moving in a line segment under the influence of specified initial and source temperatures has been investigated. The Fourier method has been applied to determine the eigenfunctions thus allowing reducing the problem to a set of time-fractional ordinary differential equations. Analytical solutions by applying the Laplace transform method have been developed.

中文翻译：

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线段中Cattaneo-Hristov热扩散方程的可分离解：柯西和源问题

研究了Cattaneo-Hristov热扩散在指定的初始温度和热源温度的影响下在线段中移动的行为。傅里叶方法已经用于确定本征函数，从而可以将问题简化为一组时间分数阶常微分方程。已经开发出通过应用拉普拉斯变换方法的解析解。