| Title: |
Numerical approximations using Chebyshev polynomial expansions: El-gendi’s method revisited |
| Authors: |
Ioana Mihaila; Typeset Revtex; I. Introduction |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
http://arxiv.org/pdf/physics/9901005v2.pdf. |
| Publication Year: |
2008 |
| Collection: |
CiteSeerX |
| Description: |
We present numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev polynomial of order N (El-gendi’s method). The solutions are exact at these points, apart from round-off computer errors and the convergence of other numerical methods used in connection to solving the linear system of equations. Applications to initial value problems in time-dependent quantum field theory, and second order boundary value problems in fluid dynamics are presented. PACS numbers: 02.70.-c,02.30.Mv,02.60.Jh,02.70.Bf,02.60.Nm,02.60.Lj |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.286.1144; http://arxiv.org/pdf/physics/9901005v2.pdf |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.286.1144; http://arxiv.org/pdf/physics/9901005v2.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.D2A84EAE |
| Database: |
BASE |