Document Details

Document Type : Article In Journal 
Document Title :
Homotopy continuation method of arbitrary order of convergence for the two-body universal initial value problem
Homotopy continuation method of arbitrary order of convergence for the two-body universal initial value problem
 
Document Language : Arabic 
Abstract : In this paper, an efficient iterative method of arbitrary positive integer order of convergence greater than or equal to2 will be established for the two-body universal initial value problem. The method is of dynamic nature in the sense that, on going from one iterative scheme to the subsequent one, only additional instruction is needed. Moreover, which is the most important, the method does not need any a priori knowledge of the initial guess. A property which avoids the critical situations between divergent to very slow convergent solutions, that may exist in other numerical methods which depend on initial guess. Some applications of the method are also given. 
Journal Name : CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 
Volume : 86 
Issue Number : 4 
Publishing Year : 2003 AH  
Added Date : Monday, June 23, 2008 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أ.د. محمد عادل بن عبدالعزيز أحمد شرفMohamed A. SharafResearcher sharaf_adel@hotmail.com
.Amr A. SharafResearcher amrsh@aucegypt.edu

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