DIFFERENSIAL TENGLAMALAR UCHUN SPEKTRAL APPROKSIMATSIYA USULLARINING NAZARIY ASOSLARI.
Keywords:
spectral method, approximation, differential equation, Chebyshev polynomials, Fourier series, orthogonality, convergence, numerical modeling.Abstract
This paper examines the theoretical foundations of spectral approximation methods used for solving differential equations. The properties of Chebyshev and Fourier basis functions are analyzed, and the accuracy and convergence characteristics of spectral techniques are discussed.
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