Cubic spline solutions of the ninth order linear and non-linear boundary value problems

被引：12

作者：

Zhang, Xiao-Zhong ^{[1
]}

Khalid, Aasma ^{[2
]}

Inc, Mustafa ^{[3
,4
]}

Rehan, Akmal ^{[5
]}

Nisar, Kottakkaran Sooppy ^{[6
]}

Osman, M. S. ^{[7
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

[2] GC Women Univ Faisalabad, Dept Math, Faisalabad 38000, Pakistan

[3] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[4] China Med Univ, China Med Univ Hosp, Dept Math, Med Res, Taichung, Taiwan

[5] Univ Agr Faisalabad, Dept Comp Sci, Faisalabad 38000, Pakistan

[6] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawasir, Saudi Arabia

[7] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 12期

关键词：

Boundary value problems; Cubic B-spline; Absolute errors; Central finite difference approximations; NUMERICAL-SOLUTION; SCALING FUNCTIONS; COLLOCATION METHOD; EQUATION; SYSTEM;

D O I：

10.1016/j.aej.2022.05.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS). Ninth order boundary value problems arise in the study of laminar viscous flow in a semi-porous channel, astrophysics, hydrodynamic & hydro-magnetic stability. The derived technique is exceptionally useful and is appropriate for such kinds of linear and non-linear boundary value problems. Cubic B Spline(CBS) is successfully applied to mathematical models. The out-comes are contrasted to those presented in the literature, revealing that the introduced technique leads to an advisable estimation of the exact solution. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.

引用

页码：11635 / 11649

页数：15

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