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  4. Block Variable Order Step Size Method For Solving Higher Order Orbital Problems
 
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Block Variable Order Step Size Method For Solving Higher Order Orbital Problems

Journal
13th Imt-Gt International Conference On Mathematics, Statistics And Their Applications (Icmsa2017)
Date Issued
2017
Author(s)
Rasedee, AFN
Ijam, HM
Sathar, MHA
Ishak, N
Nazri, MA
Kamarudin, NS
Ramli N.A.
DOI
10.1063/1.5012174
Abstract
Previous numerical methods for solving systems of higher order ordinary differential equations (ODEs) directly require calculating the integration coefficients at every step. This research provides a block multi step method for solving orbital problems with periodic solutions in the form of higher order ODEs directly. The advantage of the proposed method is, it requires calculating the integration coefficients only once at the beginning of the integration is presented. The derived formulae is then validated by running simulations with known higher order orbital equations. To provide further efficiency, a relationship between integration coefficients of various order is obtained.
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