Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems
In this paper, we present a new method for solving nonlinear general two point boundary value problems. A method based on finite differences and rational function approximation and we call this method as rational approximation method. A rational approximation method is applied to construct the numer...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2014
|
| Online Access: | http://journalarticle.ukm.my/7269/ http://journalarticle.ukm.my/7269/1/20_P.K._Pandey.pdf |
| _version_ | 1848811428824219648 |
|---|---|
| author | P.K. Pandey, |
| author_facet | P.K. Pandey, |
| author_sort | P.K. Pandey, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, we present a new method for solving nonlinear general two point boundary value problems. A method based on finite differences and rational function approximation and we call this method as rational approximation method. A rational approximation method is applied to construct the numerical solution for two point boundary value problems. The novel method is tested on three model problems. Thus the numerical results obtained for these model problems show the performance and efficiency of the developed method. |
| first_indexed | 2025-11-14T23:46:15Z |
| format | Article |
| id | oai:generic.eprints.org:7269 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:46:15Z |
| publishDate | 2014 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:72692016-12-14T06:43:35Z http://journalarticle.ukm.my/7269/ Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems P.K. Pandey, In this paper, we present a new method for solving nonlinear general two point boundary value problems. A method based on finite differences and rational function approximation and we call this method as rational approximation method. A rational approximation method is applied to construct the numerical solution for two point boundary value problems. The novel method is tested on three model problems. Thus the numerical results obtained for these model problems show the performance and efficiency of the developed method. Universiti Kebangsaan Malaysia 2014-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7269/1/20_P.K._Pandey.pdf P.K. Pandey, (2014) Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems. Sains Malaysiana, 43 (7). pp. 1105-1108. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | P.K. Pandey, Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title | Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title_full | Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title_fullStr | Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title_full_unstemmed | Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title_short | Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| title_sort | rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems |
| url | http://journalarticle.ukm.my/7269/ http://journalarticle.ukm.my/7269/ http://journalarticle.ukm.my/7269/1/20_P.K._Pandey.pdf |