Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials
Joint Authors
Qasim, Ahmed Farooq
Hamed, Almutasim Abdulmuhsin
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We aim through this paper to present an improved variational iteration method (VIM) based on Bernstein polynomials (BP) approximations to be used with transcendental functions.
The key benefits gained from this modification are to reach stable and fairly accurate results and, at the same time, to expand the unknown function’s domain in partial differential equations (PDEs).
The proposed approach introduces the Bernstein polynomials in the transcendental functions of nonlinear PDEs.
A number of examples were included in order to expound the method’s capacity and reliability.
From the results, we conclude that the VIM with BP is a powerful mathematical tool that can be applied to solve nonlinear PDEs.
American Psychological Association (APA)
Qasim, Ahmed Farooq& Hamed, Almutasim Abdulmuhsin. 2019. Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1166353
Modern Language Association (MLA)
Qasim, Ahmed Farooq& Hamed, Almutasim Abdulmuhsin. Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1166353
American Medical Association (AMA)
Qasim, Ahmed Farooq& Hamed, Almutasim Abdulmuhsin. Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1166353
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166353