Superiority of legendre polynomials to Chebyshev polynomial in solving ordinary differential equation
نویسندگان
چکیده
منابع مشابه
The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions
We analyze the asymptotic rates of convergence of Chebyshev, Legendre and Jacobi polynomials. One complication is that there are many reasonable measures of optimality as enumerated here. Another is that there are at least three exceptions to the general principle that Chebyshev polynomials give the fastest rate of convergence from the larger family of Jacobi polynomials. When f (x) is singular...
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ژورنال
عنوان ژورنال: Journal of Applied Sciences and Environmental Management
سال: 2006
ISSN: 1119-8362
DOI: 10.4314/jasem.v9i3.17365