两种谱方法在一类均匀内热源对流问题中的应用
Application of two spectral methods to a problem of convection with uniform internal heat source
摘要：
本文采用两种基于Fourier级数展开的方法（一种基于Fourier级数展开的方法和一种基于移位Legendre多项式展开的方法），对具有均匀内热源的水平流体层中的线性对流问题的特征值问题进行了解析研究。对每种方法都作了一些理论上的评述。给出了数值结果，并与已有的结果进行了比较.良好的协议被发现。
英文摘要：
Two methods based on Fourier series expansions (a Chandrasekhar functions-based method and a shifted Legendre polynomials -based method) are used to study analytically the eigenvalue problem governing the linear convection problem with an uniform internal heat source in a horizontal fluid layer bounded by two rigid walls. For each method some theoretical remarks are made. Numerical results are given and they are compared with some existing ones. Good agrement is found.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
