Error Oriented Tau Method

An effective approach to produce an approximate analytical solution to a linear ordinary differential equation with polynomial coefficients, is considered. This approach is a modification of the Tau method of C. Lanczos, however, it minimizes an error of the solution, not a residual of the equation....

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Bibliographic Details
Main Authors: Berdnikov, Alexander, Bulyanitsa, Anton, Evstrapov, Anatoly, Krasnova, Nadezhda, Solovyev, Konstantin
Format: Conference Proceeding
Language:English
Subjects:
Accuracy
Chebyshev polynomials
Electrical engineering
error minimization
Lanczos method
linear ordinary differential equation
Ordinary differential equations
Photonics
Polynomials
residual
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Summary:An effective approach to produce an approximate analytical solution to a linear ordinary differential equation with polynomial coefficients, is considered. This approach is a modification of the Tau method of C. Lanczos, however, it minimizes an error of the solution, not a residual of the equation. The effectiveness of the approach is illustrated by a numerical example. Other similar approaches are discussed briefly.
ISSN:2771-697X
DOI:10.1109/EExPolytech62224.2024.10755691