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An approach to improving maneuver performance of coning algorithm

Journal of Southeast University(English Edition) 2014年第4期30卷 439-444页

作者：汤传业陈熙源宋锐东南大学仪器科学与工程学院南京210096 东南大学微惯性仪表与先进导航技术教育部重点实验室南京210096

Aiming to improve the maneuver performance of the strapdown inertial navigation attitude coning algorithm a new coning correction structure is constructed by adding a sample to the traditional compressed coning correction structure. According to the given definition of classical coning motion the residual coning correction error based on the new coning correction structure is derived. On the basis of the new structure the frequency taylor series method is used for designing a coning correction structure coefficient and then a new coning algorithm is *** types of error models are defined for the coning algorithm performance evaluation under coning environments and maneuver environments *** results indicate that the maneuver accuracy of the new 4-sample coning algorithm is almost double that of the traditional compressed 4-sample coning algorithm. The new coning algorithm has an improved maneuver performance while maintaining coning performance compared to the traditional compressed coning algorithm.

关键词： coning algorithm coning correction structure maneuver performance coning performance frequency taylor series method coning algorithm coning correction structure maneuver performance coning performance frequency taylor series method

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Comparative Studies between Picard’s and taylor’s methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems

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Journal of Applied Mathematics and Physics 2024年第3期12卷 877-896页

作者： Khalid Abd Elrazig Awad Alla Elnour Department of Mathematics Preparatory Deanship Najran University Najran Kingdom of Saudi Arabia

To solve the first-order differential equation derived from the problem of a free-falling object and the problem arising from Newton’s law of cooling, the study compares the numerical solutions obtained from Picard’s and taylor’s series methods. We have carried out a descriptive analysis using the MATLAB software. Picard’s and taylor’s techniques for deriving numerical solutions are both strong mathematical instruments that behave similarly. All first-order differential equations in standard form that have a constant function on the right-hand side share this similarity. As a result, we can conclude that taylor’s approach is simpler to use, more effective, and more accurate. We will contrast Rung Kutta and taylor’s methods in more detail in the following section.

关键词： First-Order Differential Equations Picard method taylor series method Numerical Solutions Numerical Examples MATLAB Software

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