Hybrid Cubic B-spline Method for Solving A Class of Singular Boundary Value Problems

被引:5
作者
Heilat, Ahmed Salem [1 ]
Batiha, Belal [1 ]
Qawasmeh, Tariq [1 ]
Hatamleh, Raed [1 ]
机构
[1] Jadara Univ, Dept Math, POB 733, Irbid 21111, Jordan
来源
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 02期
关键词
Singular two-point boundary value problems; Cubic B-spline; Trigono-metric cubic B-spline; Hybrid cubic B-spline; NUMERICAL-SOLUTION; DIFFERENCE METHOD;
D O I
10.29020/nybg.ejpam.v16i2.4725
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a class of singular two-point boundary value problems are solved using hybrid cubic B-spline method. In this algorithm, a free parameter gamma plays an important role to give accurate converge results for the solution. This parameter are chosen via optimization. Numerical examples are displayed to prove that our suggested method is flexible and effective, and the numerical results are compared with other numerical methods from the literature.
引用
收藏
页码:751 / 762
页数:12
相关论文
共 19 条
[1]   The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems [J].
Abbas, Muhammad ;
Abd Majid, Ahmad ;
Ismail, Ahmad Izani Md ;
Rashid, Abdur .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 :74-88
[2]   Solving Multispecies Lotka-Volterra Equations by the Daftardar-Gejji and Jafari Method [J].
Batiha, Belal ;
Ghanim, Firas ;
Alayed, O. ;
Hatamleh, Ra'ed ;
Heilat, Ahmed Salem ;
Zureigat, Hamzeh ;
Bazighifan, Omar .
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022, 2022
[3]   B-spline solution of non-linear singular boundary value problems arising in physiology [J].
Caglar, Hikmet ;
Caglar, Nazan ;
Oezer, Mehmet .
CHAOS SOLITONS & FRACTALS, 2009, 39 (03) :1232-1237
[4]   B-spline solution of singular boundary value problems [J].
Caglar, Nazan ;
Caglar, Hikmet .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) :1509-1513
[5]   Solving singular two-point boundary value problem in reproducing kernel space [J].
Cui, Minggen ;
Geng, Fazhan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) :6-15
[6]  
Goh J., 2011, NUCL PHYS, V2, P4
[7]   A New Spline Method for Solving Linear Two-Point Boundary Value Problems [J].
Heilat, Ahmed Salem ;
Zureigat, Hamzeh ;
Hatamleh, Ra'ed ;
Batiha, Belal .
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04) :1283-1294
[8]   Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline [J].
Kadalbajoo, MK ;
Aggarwal, VK .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (03) :851-863
[9]   B-spline method for a class of singular two-point boundary value problems using optimal grid [J].
Kadalbajoo, Mohan K. ;
Kumar, Vivek .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) :1856-1869
[10]   Cubic spline polynomial for non-linear singular two-point boundary value problems [J].
Kanth, A. S. V. Ravi .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) :2017-2022