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Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations
Joint Authors
Qasim, Ahmed Farooq
AL-Rawi, Ekhlass S.
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we used Bernstein polynomials to modify the Adomian decomposition method which can be used to solve linear and nonlinear equations.
This scheme is tested for four examples from ordinary and partial differential equations; furthermore, the obtained results demonstrate reliability and activity of the proposed technique.
This strategy gives a precise and productive system in comparison with other traditional techniques and the arrangements methodology is extremely straightforward and few emphasis prompts high exact solution.
The numerical outcomes showed that the acquired estimated solutions were in appropriate concurrence with the correct solution.
American Psychological Association (APA)
Qasim, Ahmed Farooq& AL-Rawi, Ekhlass S.. 2018. Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1175957
Modern Language Association (MLA)
Qasim, Ahmed Farooq& AL-Rawi, Ekhlass S.. Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations. Journal of Applied Mathematics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1175957
American Medical Association (AMA)
Qasim, Ahmed Farooq& AL-Rawi, Ekhlass S.. Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1175957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1175957