Publication:
Solution For Nonlinear Riccati Equation By Block Method

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Date

2018

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Amer Inst Physics

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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.

Description

AIP Conference Proceedings 1974, 020071 (2018); https://doi.org/10.1063/1.5041602

Keywords

Backward difference, Block method, Riccati differential equations

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https://aip.scitation.org/doi/abs/10.1063/1.5041602
 https://oarep.usim.edu.my/handle/123456789/11658

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Web of Science_WoS