Review on the Use of Chebyshev Polynomials for Numerical Modeling of Applied Problems
Year: 2024
Type: article
Abstract: Chebyshev polynomials are widely used for numerical modeling of various applied problems. The main advantage of methods using Chebyshev polynomials is the high speed of convergence of calculation results. If - is the number of degrees of freedom (the number of Chebyshev polynomials or the number of nodes in a difference scheme), then when using difference methods the maximum error decreases as or (in difference methods of the second or fourth order of accuracy, respectively).
Author: Djurayeva, Nasiba
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949339544
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