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

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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]
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Database: Engineering Source
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