Vol. 34 (2024)
Artículos de Investigación

A handy analytical approximate solution for the magnetohydrodynamic flow of blood in a porous channel

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  • Uriel Filobello-Nino,
  • Hector Vazquez-Leal,
  • Jesus Huerta-Chua,
  • Rogelio Alejandro Callejas-Molina,
  • Ángel Trigos,
  • Alejandro Salinas-Castro
Uriel Filobello-Nino
Universidad Veracruzana, Facultad de Instrumentación Electrónica
Hector Vazquez-Leal
Universidad Veracruzana
Jesus Huerta-Chua
Instituto Tecnológico Superior de Poza Rica
Rogelio Alejandro Callejas-Molina
Instituto Tecnológico de Celaya TNM
Ángel Trigos
Centro de Investigación en Micología Aplicada, Universidad Veracruzana
Alejandro Salinas-Castro
Centro de Investigación en Micología Aplicada, Universidad Veracruzana
DOI: https://doi.org/10.15174/au.2024.3779

Published 2024-04-30

How to Cite

Filobello-Nino, U., Vazquez-Leal, H., Huerta-Chua, J., Callejas-Molina, R. A., Trigos, Ángel, & Salinas-Castro, A. (2024). A handy analytical approximate solution for the magnetohydrodynamic flow of blood in a porous channel. Acta Universitaria, 34, 1–14. https://doi.org/10.15174/au.2024.3779

Abstract

This work presents a new version of the Picard method, known as the boundary values problems Picard method (BVPP), to obtain an analytical approximate solution for a highly complex nonlinear differential equation that models the magnetohydrodynamic flow of blood through a porous channel. The proposed method is versatile and can produce compact and easily evaluated analytical expressions that accurately capture the scientific phenomena being studied, making it ideal for practical applications. BVPP transforms a differential equation into an integral equation and utilizes an iterative algorithm like that of the basic Picard method. However, unlike the basic method, BVPP allows for the selection of an appropriate initial function and involves several adjustable parameters that can be optimized to obtain a precise analytical approximate solution with minimal effort. Overall, BVPP represents a significant advancement in the analysis of complex nonlinear differential equations, particularly in the field of biomedical engineering.

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