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  1. Home
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  4. Solution For Nonlinear Riccati Equation By Block Method
 
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Solution For Nonlinear Riccati Equation By Block Method

Journal
Proceeding Of The 25th National Symposium On Mathematical Sciences (Sksm25): Mathematical Sciences As The Core Of Intellectual Excellence
Date Issued
2018
Author(s)
Rasedee, AFN
Ijam, HM
Sathar, MHA
Ishak, N
Hamzah, SR
Sahrim, M
Ismail I.
DOI
10.1063/1.5041602
Abstract
A two-point block backward difference technique is established for solving nonlinear Riccati differential equations directly. The proposed method is coded using a variable order step size (VOS) algorithm. The advantage of the two-point block method is its programmability to implement parallel programming techniques. Combination of the block method and VOS algorithm allows for a significant reduction of computation cost in comparison to conventional methods. With an added advantage of the recursive relationship between integration coefficients of different orders, the proposed two-point block method provides efficient computation without loss of accuracy.
Subjects

Backward difference

Block method

Riccati differential ...

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