Document Details

Document Type : Article In Journal 
Document Title :
Homotopy continuation method of arbitrary order of convergence for solving the hyperbolic form of Kepler's equation
Homotopy continuation method of arbitrary order of convergence for solving the hyperbolic form of Kepler's equation
 
Subject : Astronomyِ 
Document Language : English 
Abstract : In this paper, an efficient iterative method of arbitrary integer order of convergence ≥ 2 has been established for solving the hyperbolic form of Kepler's equation. The method is of a dynamic nature in the sense that, moving from one iterative scheme to the subsequent one, only additional instruction is needed. Most importantly, the method does not need any prior knowledge of the initial guess. A property which avoids the critical situations between divergent and very slow convergent solutions that may exist in other numerical methods which depend on initial guess. Computational Package for digital implementation of the method is given and is applied to many case studies. 
ISSN : 0250-6335 
Journal Name : Journal of Astrophysics and Astronomy 
Volume : 28 
Issue Number : 1 
Publishing Year : 1428 AH
2007 AD 
Article Type : Article 
Added Date : Saturday, December 24, 2011 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمد عادل شرفSharaf, Mohamed AResearcherDoctoratesharaf_adel@hotmail.com
M A BanajhBanajh, M AResearcherDoctorate 
A A AlshaaryAlshaary, A AResearcherDoctorate 

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