A computational method for the solution of dierential equations is proposed. With this method an accurate approximation is built by incremental additions of optimal local basis functions. The parallel direct search software package (PDS), that supports parallel objective function evaluations, is use
Symbolic analytical solutions for the abundances differential equations of the Helium burning phase
โ Scribed by M.I. Nouh; M.A. Sharaf; A.S. Saad
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 164 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0004-6337
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โฆ Synopsis
Abstract
In this paper, a literal analytical solution is developed for the abundances differential equations of the helium burning phase in hot massive stars. The abundance for each of the basic elements ^4^He,^12^C,^16^O and ^20^Ne is obtained as a recurrent power series in time, which facilitates its symbolic and numerical evaluations. Numerical comparison between the present solution and the numerical integration of the differential equations for the abundances show good agreement.
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