On the convergence of He's variational iteration method
Saved in:
| Title: | On the convergence of He's variational iteration method |
|---|---|
| Authors: | Tatari, Mehdi1, Dehghan, Mehdi mdehghan@aut.ac.ir |
| Source: | Journal of Computational & Applied Mathematics. Oct2007, Vol. 207 Issue 1, p121-128. 8p. |
| Subjects: | Convergent evolution, Boundary value problems, Partial differential equations, Bäcklund transformations |
| Abstract: | Abstract: In this work we will consider He''s variational iteration method for solving second-order initial value problems. We will discuss the use of this approach for solving several important partial differential equations. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving the large amount of problems. Using the variational iteration method, it is possible to find the exact solution or an approximate solution of the problem. This technique provides a sequence of functions which converges to the exact solution of the problem. Our emphasis will be on the convergence of the variational iteration method. In the current paper this scheme will be investigated in details and efficiency of the approach will be shown by applying the procedure on several interesting and important models. [Copyright &y& Elsevier] |
| Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 25490771 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: On the convergence of He's variational iteration method – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tatari%2C+Mehdi%22">Tatari, Mehdi</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Dehghan%2C+Mehdi%22">Dehghan, Mehdi</searchLink><i> mdehghan@aut.ac.ir</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Oct2007, Vol. 207 Issue 1, p121-128. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Convergent+evolution%22">Convergent evolution</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Bäcklund+transformations%22">Bäcklund transformations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this work we will consider He''s variational iteration method for solving second-order initial value problems. We will discuss the use of this approach for solving several important partial differential equations. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving the large amount of problems. Using the variational iteration method, it is possible to find the exact solution or an approximate solution of the problem. This technique provides a sequence of functions which converges to the exact solution of the problem. Our emphasis will be on the convergence of the variational iteration method. In the current paper this scheme will be investigated in details and efficiency of the approach will be shown by applying the procedure on several interesting and important models. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=25490771 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.cam.2006.07.017 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 121 Subjects: – SubjectFull: Convergent evolution Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Partial differential equations Type: general – SubjectFull: Bäcklund transformations Type: general Titles: – TitleFull: On the convergence of He's variational iteration method Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tatari, Mehdi – PersonEntity: Name: NameFull: Dehghan, Mehdi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2007 Type: published Y: 2007 Identifiers: – Type: issn-print Value: 03770427 Numbering: – Type: volume Value: 207 – Type: issue Value: 1 Titles: – TitleFull: Journal of Computational & Applied Mathematics Type: main |
| ResultId | 1 |
