Numerical Analysis -Legendre orthogonal polynomial approximation function implemented

Numerical Analysis -Legendre orthogonal polynomial approximation function implemented

December 18, 2016 21:27:54  Ice Drops  reading number 4057

 

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                          Numerical Analysis -Legendre orthogonal polynomial approximation function implemented

A defined interval [-11] continuous function, we can put him to expand into Legendre series, which means we can be approximated by a function Legendre series. This article is a reference book Ding Lijuan Cheng Qi Yuan compiled the "numerical methods" second edition, Beijing Institute of Technology Press, used specific formula shown below. The following are given matlab corresponding code, matlab2016a run, matlab2012 also tested successfully, matlab2008 green version of the test to fail.