Weak form quadrature solution of 2mth-order Fredholm integro-differential equations
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2d13423e-e073-44cd-ad0b-d0e699417f7c
- author
- Guo, Mengwu LU and Zhong, Hongzhi
- publishing date
- 2016-10-02
- 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
- 2024-03-26 10:03:35
@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}}, }