Monotone methods for a boundary value problem of second-order discrete equation

Yuan Ming Wang

doi:10.1016/S0898-1221(98)00163-1

Monotone methods for a boundary value problem of second-order discrete equation

Yuan Ming Wang^*

^*此作品的通讯作者

Fudan University

科研成果: 期刊稿件 › 文章 › 同行评审

21 引用（Scopus）

摘要

The comparison and existence results of the upper and lower solutions are established for a boundary value problem of second-order discrete equation. A monotone iterative scheme is proposed. The local as well as global existence and uniqueness of the solution are obtained. The global convergence of the iteration is investigated. The convergence rate of the iteration is analyzed and compared. Some examples are given.

源语言	英语
页（从-至）	77-92
页数	16
期刊	Computers and Mathematics with Applications
卷	36
期	6
DOI	https://doi.org/10.1016/S0898-1221(98)00163-1
出版状态	已出版 - 9月 1998
已对外发布	是

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abstract = "The comparison and existence results of the upper and lower solutions are established for a boundary value problem of second-order discrete equation. A monotone iterative scheme is proposed. The local as well as global existence and uniqueness of the solution are obtained. The global convergence of the iteration is investigated. The convergence rate of the iteration is analyzed and compared. Some examples are given.",

keywords = "Boundary value problem of second-order discrete equation, Global convergence, Monotone convergence, Monotone iterative method, Upper and lower solution",

author = "Wang, \{Yuan Ming\}",

year = "1998",

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N2 - The comparison and existence results of the upper and lower solutions are established for a boundary value problem of second-order discrete equation. A monotone iterative scheme is proposed. The local as well as global existence and uniqueness of the solution are obtained. The global convergence of the iteration is investigated. The convergence rate of the iteration is analyzed and compared. Some examples are given.

AB - The comparison and existence results of the upper and lower solutions are established for a boundary value problem of second-order discrete equation. A monotone iterative scheme is proposed. The local as well as global existence and uniqueness of the solution are obtained. The global convergence of the iteration is investigated. The convergence rate of the iteration is analyzed and compared. Some examples are given.

KW - Boundary value problem of second-order discrete equation

KW - Global convergence

KW - Monotone convergence

KW - Monotone iterative method

KW - Upper and lower solution

UR - https://www.scopus.com/pages/publications/0032166208

U2 - 10.1016/S0898-1221(98)00163-1

DO - 10.1016/S0898-1221(98)00163-1

M3 - 文章

AN - SCOPUS:0032166208

SN - 0898-1221

VL - 36

SP - 77

EP - 92

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

Monotone methods for a boundary value problem of second-order discrete equation

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