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Numerical Solution of Ordinary and Delay Differential Equations by RKM.
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Местонахождение: Алматы | Состояние экземпляра: новый |
Бумажная
версия
версия
Автор: Raed Alkhasawneh
ISBN: 9783639767469
Год издания: 2015
Формат книги: 60×90/16 (145×215 мм)
Количество страниц: 216
Издательство: Scholars' Press
Цена: 48109 тг
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Сферы деятельности:Код товара: 150632
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Аннотация: The main contribution of this work is illustrated as follows: 1- The derivation for embedded singly diagonally implicit Runge-Kutta (SDIRK) method of fourth-order six stages in fifth-order seven stages is introduced to solve ordinary and delay differential equations. The stability region is presented and the numerical results are compared with the other existing methods. 2- Singly diagonally implicit Runge-Kutta Nystr?m (SDIRKN) of third-order three stages embedded in fourth-order four stages is constructed. The stability region of the new method is presented and numerical results are compared with the same method of lower order. 3- A new singly diagonally implicit Runge-Kutta-Nystr?m general (SDIRKNG) method of third-order embedded in fourth-order is derived to solve second order ordinary differential equations. Analysis the stability region of the new method is discussed and numerical results are presented.
Ключевые слова: Applied Mathematics - Numerical Analysis
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