Solving directly third-order ODEs using operational matrices of Bernstein polynomials method with applications to fluid flow equations

被引：20
|
作者：
Khataybeh, Sana'a Nazmi [1 ]
Hashim, Ishak [1 ]
Alshbool, Mohammed [2 ]
机构：
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor, Malaysia
[2] Abu Dhabi Univ, Fac Art & Sci, Abu Dhabi, U Arab Emirates
来源：
JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2019年 / 31卷 / 04期
关键词：
ODEs; Bernstein polynomials; Approximation; Fluid flow; NUMERICAL-SOLUTION;
D O I：
10.1016/j.jksus.2018.05.002
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we adapt for the first time the operational matrices of Bernstein polynomials method for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by converting the equation into a system of algebraic equations which is solved directly. Applications of the present method to the famous Blasius equation describing a boundary layer flow over a flat plate and third-order ODE for thin film flow are presented. Some numerical examples are also given to show the applicability of the method. (C) 2018 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
引用
收藏
页码：822 / 826
页数：5
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