Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

被引：38

作者：

Khalid, Nauman ^{[1
]}

Abbas, Muhammad ^{[2
]}

Iqbal, Muhammad Kashif ^{[3
]}

机构：

[1] Natl Coll Business Adm & Econ, Dept Math, Lahore, Pakistan

[2] Univ Sargodha, Dept Math, Sargodha, Pakistan

[3] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 349卷

关键词：

Non-polynomial quintic spline functions; Spline collocation method; Fractional order differential equations; Caputo's derivatives; NUMERICAL-SOLUTION;

D O I：

10.1016/j.amc.2018.12.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we have explored the numerical solution of fourth order fractional boundary value problems, involving product terms, by means of quintic spline collocation method. The proposed numerical approach is based on non-polynomial quintic spline functions comprised of a trigonometric part and polynomial part. The second and fourth order convergence of the presented algorithm has been discussed rigorously. Some test examples have been considered and the approximate results are found to be more accurate as compared to the other variants on the topic. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：393 / 407

页数：15

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