Conference
Numerical solution of linear and nonlinear random ordinary differential equations by using adomian decomposition method.
| Τίτλος: | Numerical solution of linear and nonlinear random ordinary differential equations by using adomian decomposition method. |
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| Συγγραφείς: | Jarad, Khansaa M., Sahib, Ali A. Abdul |
| Πηγή: | AIP Conference Proceedings; 2026, Vol. 3460 Issue 1, p1-9, 9p |
| Θεματικοί όροι: | Numerical solutions to equations, Stochastic differential equations, Uniqueness (Mathematics), Nonlinear differential equations, Stochastic processes, Wiener processes, Linear differential equations, Iterative methods (Mathematics) |
| Περίληψη: | In this study, we shall explain Adomian decomposition method to find an approximate solution of ordinary differential equation both (linear and nonlinear) which contain stochastic process specifically the Wiener process. The sequence of approximate solutions is derived from iterated solutions; it has proven that this method to be efficient and reliable in solving Random Ordinary Differential Equations. Moreover, uniqueness and convergence of solutions have been proven. To demonstrate the applicability of this method, two examples are presented and solved. These examples are demonstrated and simulated, using computer programs for two different generations of Wiener Processes, consisting of 500, 1000 iterations, respectively. [ABSTRACT FROM AUTHOR] |
| Copyright of AIP Conference Proceedings is the property of American Institute of Physics 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.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Numerical solution of linear and nonlinear random ordinary differential equations by using adomian decomposition method. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jarad%2C+Khansaa+M%2E%22">Jarad, Khansaa M.</searchLink><br /><searchLink fieldCode="AR" term="%22Sahib%2C+Ali+A%2E+Abdul%22">Sahib, Ali A. Abdul</searchLink> – Name: TitleSource Label: Source Group: Src Data: AIP Conference Proceedings; 2026, Vol. 3460 Issue 1, p1-9, 9p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+solutions+to+equations%22">Numerical solutions to equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+differential+equations%22">Nonlinear differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Wiener+processes%22">Wiener processes</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+differential+equations%22">Linear differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this study, we shall explain Adomian decomposition method to find an approximate solution of ordinary differential equation both (linear and nonlinear) which contain stochastic process specifically the Wiener process. The sequence of approximate solutions is derived from iterated solutions; it has proven that this method to be efficient and reliable in solving Random Ordinary Differential Equations. Moreover, uniqueness and convergence of solutions have been proven. To demonstrate the applicability of this method, two examples are presented and solved. These examples are demonstrated and simulated, using computer programs for two different generations of Wiener Processes, consisting of 500, 1000 iterations, respectively. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of AIP Conference Proceedings is the property of American Institute of Physics 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1063/5.0335756 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1 Subjects: – SubjectFull: Numerical solutions to equations Type: general – SubjectFull: Stochastic differential equations Type: general – SubjectFull: Uniqueness (Mathematics) Type: general – SubjectFull: Nonlinear differential equations Type: general – SubjectFull: Stochastic processes Type: general – SubjectFull: Wiener processes Type: general – SubjectFull: Linear differential equations Type: general – SubjectFull: Iterative methods (Mathematics) Type: general Titles: – TitleFull: Numerical solution of linear and nonlinear random ordinary differential equations by using adomian decomposition method. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jarad, Khansaa M. – PersonEntity: Name: NameFull: Sahib, Ali A. Abdul IsPartOfRelationships: – BibEntity: Dates: – D: 28 M: 04 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0094243X Numbering: – Type: volume Value: 3460 – Type: issue Value: 1 Titles: – TitleFull: AIP Conference Proceedings Type: main |
| ResultId | 1 |