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. The effectiveness of the approach is illustrated by a numerical example. Other similar approaches are discussed briefly.
Authors
- A. A. Evstrapov (ORCID: https://orcid.org/0000-0003-4495-8096)
- K. V. Solovyev (ORCID: https://orcid.org/0000-0003-3514-8577)
- A. L. Bulyanitsa (ORCID: https://orcid.org/0000-0002-9235-8549)
- A. S. Berdnikov (ORCID: https://orcid.org/0000-0003-0985-5964)
- N. K. Krasnova
Institutions
- Peter the Great St. Petersburg Polytechnic University (RU)
- Institute for Analytical Instrumentation (RU)
Publication Details
- Published
- 2024-10-17
- DOI
- https://doi.org/10.1109/eexpolytech62224.2024.10755691
- Citations
- 1
- Primary Topic
- Reliability and Maintenance Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.36