Functional Analytic Approximations via Generalized Variational Iteration for Incompressible Time-Asymmetric Evolution Systems.

Saved in:
Bibliographic Details
Title: Functional Analytic Approximations via Generalized Variational Iteration for Incompressible Time-Asymmetric Evolution Systems.
Authors: Abbood Altai, Abdulhameed Qahtan1 ahbabil1983@gmail.com
Source: IAENG International Journal of Applied Mathematics. Oct2025, Vol. 55 Issue 10, p3180-3206. 27p.
Subjects: Incompressible flow, Partial differential equations, Variational approach (Mathematics), Iterative methods (Mathematics), Time-varying systems
Abstract: This work presents an iterative method for solving time-asymmetric partial differential equation systems analytically. In this procedure, two symmetric systems in the spatial variable are constructed, and the associated correction functionals are then generated. Applicability of this iterative method is demonstrated in solving the governing equations for both incompressible fluid flow and incompressible micropolar fluid flow. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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 Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 188428739
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Functional Analytic Approximations via Generalized Variational Iteration for Incompressible Time-Asymmetric Evolution Systems.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Abbood+Altai%2C+Abdulhameed+Qahtan%22">Abbood Altai, Abdulhameed Qahtan</searchLink><relatesTo>1</relatesTo><i> ahbabil1983@gmail.com</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Oct2025, Vol. 55 Issue 10, p3180-3206. 27p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Time-varying+systems%22">Time-varying systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This work presents an iterative method for solving time-asymmetric partial differential equation systems analytically. In this procedure, two symmetric systems in the spatial variable are constructed, and the associated correction functionals are then generated. Applicability of this iterative method is demonstrated in solving the governing equations for both incompressible fluid flow and incompressible micropolar fluid flow. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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=188428739
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 27
        StartPage: 3180
    Subjects:
      – SubjectFull: Incompressible flow
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Variational approach (Mathematics)
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Time-varying systems
        Type: general
    Titles:
      – TitleFull: Functional Analytic Approximations via Generalized Variational Iteration for Incompressible Time-Asymmetric Evolution Systems.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Abbood Altai, Abdulhameed Qahtan
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 10
              Text: Oct2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 19929978
          Numbering:
            – Type: volume
              Value: 55
            – Type: issue
              Value: 10
          Titles:
            – TitleFull: IAENG International Journal of Applied Mathematics
              Type: main
ResultId 1