Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations / U. Mohammed [et al.]
Уровень набора: (RuTPU)RU\TPU\network\2008, IOP Conference Series: Materials Science and EngineeringЯзык: английский.Страна: .Резюме или реферат: In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature..Примечания о наличии в документе библиографии/указателя: [References: 12 tit.].Тематика: электронный ресурс | труды учёных ТПУ | интеграторы | краевые задачи | обыкновенные дифференциальные уравнения | конечные разности | константы | порядок | ошибки | устойчивость | сходимость Ресурсы он-лайн:Щелкните здесь для доступа в онлайн | Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: 12 tit.]
In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature.
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