کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900742 1631719 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical method for solving uncertain spring vibration equation
ترجمه فارسی عنوان
روش عددی برای حل معادله لرزش بهار نامرئی
کلمات کلیدی
معادله ارتعاش بهار، معادله دیفرانسیل نامتجانس، نظریه عدم اطمینان، فرآیند نامشخص،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
As a type of uncertain differential equations, uncertain spring vibration equation is driven by Liu process. This paper proposes a concept of α-path, and shows that the solution of an uncertain spring vibration equation can be expressed by a family of solutions of second-order ordinary differential equations. This paper also proves that the inverse uncertainty distribution of solution of uncertain spring vibration equation is just the α-path of uncertain spring vibration equation, and a numerical algorithm is designed. Moreover, a formula to calculate the expected value of solution of uncertain spring vibration equation is derived. Finally, several numerical examples are provided to illustrate the efficiency of the numerical method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 337, 15 November 2018, Pages 428-441
نویسندگان
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