Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems

被引：7

作者：

Modebei, Mark I. ^{[1
]}

Jator, S. N. ^{[2
]}

Ramos, Higinio ^{[3
,4
]}

机构：

[1] Natl Math Ctr, Dept Math Programme, Abuja, Nigeria

[2] Austin Peay State Univ, Dept Math & Stat, Clarksville, TN 37044 USA

[3] Univ Salamanca, Dept Appl Math, Salamanca, Spain

[4] Escuela Politecn Super Zamora, Campus Viriato, Zamora 49022, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 377卷

关键词：

Fourth-order Boundary Value Problem; Block method; Multistep method; Hybrid method; Convergence analysis; DIFFERENTIAL-EQUATIONS; LOCAL CONVERGENCE; NEWTONS METHOD;

D O I：

10.1016/j.cam.2020.112876

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linear Multistep Block Hybrid Method with four off-grid points is presented for the direct approximation of the solution of fourth order Boundary Value Problems. Multiple Finite Difference formulas are derived and grouped into a unique block to form a numerical integrator to solve directly the fourth order problem, without the need to reduce it previously to a first-order system. The convergence of the proposed method is discussed. The superiority of this method over existing methods is established numerically considering different problems that have appeared in the literature. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：15

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