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

Mădălina Sofia Paşca, Olivia Bundău, Adina Juratoni and Bogdan Căruntu
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Mădălina Sofia Paşca: Department of Mathematics, Politehnica University Timişoara, 300006 Timişoara, Romania
Olivia Bundău: Department of Mathematics, Politehnica University Timişoara, 300006 Timişoara, Romania
Adina Juratoni: Department of Mathematics, Politehnica University Timişoara, 300006 Timişoara, Romania
Bogdan Căruntu: Department of Mathematics, Politehnica University Timişoara, 300006 Timişoara, Romania

Mathematics, 2022, vol. 10, issue 4, 1-14

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 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.

Keywords: least squares homotopy perturbation method; system of nonlinear differential equations; approximate analytical solutions; non-Newtonian fluid; magnetohydrodynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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