Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method

被引：6

作者：

Lodhi, Ram Kishun ^{[1
]}

Aldosary, Saud Fahad ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Alsaadi, Ateq ^{[3
]}

机构：

[1] Symbiosis Int Univ, Symbiosis Inst Technol, Dept Appl Sci, Pune 412115, Maharashtra, India

[2] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[3] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 04期

关键词：

quintic B-spline collocation method; Bratu-type problems; error analysis; order of convergence; ADOMIAN DECOMPOSITION METHOD; EQUATION;

D O I：

10.3934/math.2022405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study presents a quintic B-spline collocation method (QBSCM) for finding the numerical solution of non-linear Bratu-type boundary value problems (BVPs). The error analysis of the QBSCM is studied, and it provides fourth-order convergence results. QBSCM is applied on two numerical examples to exhibit the proficiency and order of convergence. Obtain results of the QBSCM are compared with other existing methods available in the literature.

引用

页码：7257 / 7273

页数：17

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