An optimization method for solving some differential algebraic equations |
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Authors: | MA El-Khateb HS Hussien |
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Institution: | 1. Engineering Research Center of Advanced Mining Equipment, Ministry of Education, Hunan University Science and Technology, Xiangtan City, 411201, China;2. Hunan Provincial Key Laboratory of High Efficiency and Precision Machining of Difficult-to-Cut Material, Hunan University Science and Technology, Xiangtan City, 411201, China;3. Department of Mechanical Engineering, Tsinghua University, Beijing, 10084, China |
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Abstract: | In this paper, the problem of differential algebraic equations has been solved via Chebyshev integral method combined with an optimization method. Two approaches are used based on the index of the problem: in the first, the proposed method is applied on the original problem and in the second, the index of the problem is decreased and the modified problem is solved. An optimization technique is proposed to solve the resulting algebraic equations. Numerical results are included to confirm the efficiency and accuracy of the method. |
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