## Abstract A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finiteβdifference scheme. The accuracy of the resultant is modified by using suitable extrapol
A Chebyshev expansion method for solving Nonlinear circuit equations
β Scribed by Olgierd A. Palusinski; Ferenc Szidarovszky
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 568 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
Three expansion methods are described using Chebyshev polynomials of the first kind for solving the integral form of the equation of radiative transfer in an isotropically scattering, absorbing, and emitting plane-parallel medium. With the aid of symbolic computation, the unknown expansion coefficie
To search a given real interval for roots, our algorithm is to replace \(f(\lambda)\) by \(f_{N}(\lambda)\), its \(N\)-term Chebyshev expansion on the search interval \(\lambda \in\left[\lambda_{\min }, \lambda_{\max }\right]\), and compute the roots of this proxy. This strategy is efficient if and