A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 < α < 1

被引：0

作者：

Anwar, Muhammad Adnan ^{[1
]}

Rehman, Shafiq Ur ^{[1
]}

Ahmad, Fayyaz ^{[2
,3
]}

Qadir, Muhammad Irfan ^{[1
]}

机构：

[1] Univ Engn & Technol, Dept Math, Lahore, Pakistan

[2] Univ Politecn Cataluna, Dept Fis & Engn Nucl, Eduard Maristany 10, Barcelona 08019, Spain

[3] Univ Insubria, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, I-22100 Como, Italy

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2019年 / 51卷 / 01期

关键词：

Fractional differential equation; boundary value problem; central difference scheme; Simpson's rule; iterative scheme; POSITIVE SOLUTIONS; EQUATIONS; DYNAMICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Accurate numerical approximations for solving non linear fractional order boundary value problems are presented in this paper. To accomplish this goal, first- and second-order derivatives involved in the developed scheme are approximated by central finite difference scheme of order four. Whereas, integrals in this work are approximated by the composite Simpson's rule in the Caputo's definition. The performance of the proposed iterative scheme is demonstrated by solving nonlinear fractional order boundary value problems of order 0 < alpha < 1.

引用

页码：115 / 126

页数：12

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A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 &lt; α &lt; 1

A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 < α < 1