A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method

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摘要

A numerical method based on Chebyshev polynomials and local interpolating functions is proposed for solving the one-dimensional parabolic partial differential equation subject to non-classical conditions. To assess its validity and accuracy, the method is applied to solve several test problem.

论文关键词:Local interpolating functions,Parabolic problem,Chebyshev polynomials,Non-classical conditions

论文评审过程:Available online 23 January 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.01.033