Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory

被引：0

作者：

Khatoon, Zainav ^{[1
]}

Sultana, Talat ^{[2
]}

Khan, Arshad ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

[2] Univ Delhi, Dept Math, Lakshmibai Coll, New Delhi 110052, India

来源：

MATHEMATICAL SCIENCES | 2022年 / 16卷 / 04期

关键词：

Fractal non-polynomial spline; Difference equations; Truncation error; Convergence analysis; NUMERICAL-SOLUTION; SYSTEM;

D O I：

10.1007/s40096-021-00429-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new technique using fractal non-polynomial spline is formulated for approximating the solution of certain fourth-order two-point boundary value problems arising in plate deflection theory. Numerical techniques of second, fourth and almost sixth order are derived which provide five-diagonal linear systems. Convergence analysis of sixth-order method is discussed. Numerical examples are presented to prove the supremacy of developed technique over fractal quintic spline and some other spline techniques.

引用

页码：401 / 416

页数：16

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