A hybrid collocation method for solving highly nonlinear boundary value problems

被引：2

作者：

Adewumi, A. O. ^{[1
]}

Akindeinde, S. O. ^{[1
]}

Aderogba, A. A. ^{[1
]}

Ogundare, B. S. ^{[1
]}

机构：

[1] Obafemi Awolowo Univ, Dept Math, Res Grp Computat Math, Ife 220005, Nigeria

来源：

HELIYON | 2020年 / 6卷 / 03期

关键词：

Mathematics; Applied mathematics; Computational mathematics; Computational fluid dynamics; Applied computing; Laplace and differential transform methods; Nonlinear boundary value problems; Hybrid collocation; Chebyshev polynomials; HOMOTOPY ANALYSIS METHOD; VISCOUS-FLOW; FIN PROBLEM;

D O I：

10.1016/j.heliyon.2020.e03553

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 article, a hybrid collocation method for solving highly nonlinear boundary value problems is presented. This hybrid method combines Chebyshev collocation method with Laplace and differential transform methods to obtain approximate solutions of some highly nonlinear two-point boundary value problems of ordinary differential equations. The efficiency of the method is demonstrated by applying it to ordinary differential equations modelling Darcy-Brinkman-Forchheimer momentum problem, laminar viscous flow problem in a semi-porous channel subject to transverse magnetic field, fin problem with a temperature-dependent thermal conductivity, transformed equations modelling two-dimensional viscous flow problem in a rectangular domain bounded by two moving porous walls and two-dimensional constant speed squeezing flow of a viscous fluid between two approaching parallel plates. The results obtained are compared with the existing methods and the results show that the new method is quite reasonable, accurate and efficient.

引用

页数：10

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