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Keywords = least squares homotopy perturbation method

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14 pages, 836 KB  
Article
The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model
by Mădălina Sofia Paşca, Olivia Bundău, Adina Juratoni and Bogdan Căruntu
Mathematics 2022, 10(4), 546; https://doi.org/10.3390/math10040546 - 10 Feb 2022
Cited by 9 | Viewed by 2442
Abstract
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 [...] Read more.
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. Full article
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