The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model

In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to a laminar flow of a viscous fluid in a semi-porous...

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Veröffentlicht in:Mathematics (Basel) 2022-02, Vol.10 (4), p.546
Hauptverfasser: Paşca, Mădălina Sofia, Bundău, Olivia, Juratoni, Adina, Căruntu, Bogdan
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Sprache:eng
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Zusammenfassung:In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to a laminar flow of a viscous fluid in a semi-porous channel, which may be used to model the blood flow through a blood vessel, taking into account the effects of a magnetic field. The numerical computations show that the method is both easy to use and very accurate compared to the other methods previously used to solve the given problem.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10040546