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

Guo, Mengwu LU and Zhong, Hongzhi (2016) In International Journal of Computer Mathematics 93(10). p.1650-1664
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.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
differential quadrature analog, Fredholm integro-differential equation, Gauss–Lobatto quadrature, numerical solution, weak form
in
International Journal of Computer Mathematics
volume
93
issue
10
pages
15 pages
publisher
Taylor & Francis
external identifiers
  • scopus:84938629544
ISSN
0020-7160
DOI
10.1080/00207160.2015.1070839
language
English
LU publication?
no
additional info
Publisher Copyright: © 2015 Taylor & Francis.
id
2d13423e-e073-44cd-ad0b-d0e699417f7c
date added to LUP
2024-03-19 12:31:23
date last changed
2025-10-14 10:21:35
@article{2d13423e-e073-44cd-ad0b-d0e699417f7c,
  abstract     = {{<p>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.</p>}},
  author       = {{Guo, Mengwu and Zhong, Hongzhi}},
  issn         = {{0020-7160}},
  keywords     = {{differential quadrature analog; Fredholm integro-differential equation; Gauss–Lobatto quadrature; numerical solution; weak form}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{10}},
  pages        = {{1650--1664}},
  publisher    = {{Taylor & Francis}},
  series       = {{International Journal of Computer Mathematics}},
  title        = {{Weak form quadrature solution of 2mth-order Fredholm integro-differential equations}},
  url          = {{http://dx.doi.org/10.1080/00207160.2015.1070839}},
  doi          = {{10.1080/00207160.2015.1070839}},
  volume       = {{93}},
  year         = {{2016}},
}