Weak form quadrature solution of 2mth-order Fredholm integro-differential equations

Mengwu Guo; Hongzhi Zhong

doi:10.1080/00207160.2015.1070839

Weak form quadrature solution of 2mth-order Fredholm integro-differential equations

Mengwu Guo
, Hongzhi Zhong^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

A method is proposed for the solution of boundary-value problems of linear and non-linear _2mth-order Fredholm integro-differential equations. A set of algebraic equations are obtained after introduction of Gauss–Lobatto quadrature and the generalized differential quadrature analog into the weak form description of a Fredholm integro-differential equation. Numerical examples are presented to demonstrate the reliability and high computational efficiency of the proposed method.

Original language	English
Pages (from-to)	1650-1664
Journal	International journal of computer mathematics
Volume	93
Issue number	10
DOIs	https://doi.org/10.1080/00207160.2015.1070839
Publication status	Published - 2016
Externally published	Yes

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title = "Weak form quadrature solution of 2mth-order Fredholm integro-differential equations",

abstract = "A method is proposed for the solution of boundary-value problems of linear and non-linear 2mth-order Fredholm integro-differential equations. A set of algebraic equations are obtained after introduction of Gauss–Lobatto quadrature and the generalized differential quadrature analog into the weak form description of a Fredholm integro-differential equation. Numerical examples are presented to demonstrate the reliability and high computational efficiency of the proposed method.",

author = "Mengwu Guo and Hongzhi Zhong",

year = "2016",

doi = "10.1080/00207160.2015.1070839",

language = "English",

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journal = "International journal of computer mathematics",

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T1 - Weak form quadrature solution of 2mth-order Fredholm integro-differential equations

AU - Guo, Mengwu

AU - Zhong, Hongzhi

PY - 2016

Y1 - 2016

N2 - A method is proposed for the solution of boundary-value problems of linear and non-linear 2mth-order Fredholm integro-differential equations. A set of algebraic equations are obtained after introduction of Gauss–Lobatto quadrature and the generalized differential quadrature analog into the weak form description of a Fredholm integro-differential equation. Numerical examples are presented to demonstrate the reliability and high computational efficiency of the proposed method.

AB - A method is proposed for the solution of boundary-value problems of linear and non-linear 2mth-order Fredholm integro-differential equations. A set of algebraic equations are obtained after introduction of Gauss–Lobatto quadrature and the generalized differential quadrature analog into the weak form description of a Fredholm integro-differential equation. Numerical examples are presented to demonstrate the reliability and high computational efficiency of the proposed method.

UR - https://www.scopus.com/pages/publications/84938629544

U2 - 10.1080/00207160.2015.1070839

DO - 10.1080/00207160.2015.1070839

M3 - Article

SN - 0020-7160

VL - 93

SP - 1650

EP - 1664

JO - International journal of computer mathematics

JF - International journal of computer mathematics

IS - 10

ER -

Weak form quadrature solution of 2mth-order Fredholm integro-differential equations

Abstract

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