Vol. 34 (2024)
Artículos de Investigación

Una solución aproximada y analítica del flujo magnetohidrodinámico de la sangre en un canal poroso

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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

Publicado 2024-04-30

Cómo citar

Filobello-Nino, U., Vazquez-Leal, H., Huerta-Chua, J., Callejas-Molina, R. A., Trigos, Ángel, & Salinas-Castro, A. (2024). Una solución aproximada y analítica del flujo magnetohidrodinámico de la sangre en un canal poroso. Acta Universitaria, 34, 1–14. https://doi.org/10.15174/au.2024.3779

Resumen

Este trabajo presenta una versión nueva del método de Picard, conocido como método de Picard para problemas de valores en la frontera (BVPP, por sus siglas en inglés), para obtener una solución analítica aproximada para la ecuación diferencial no lineal difícil de resolver que modela el flujo magnetohidrodinámico de la sangre a través de un canal poroso. El método propuesto es versátil y puede proporcionar expresiones analíticas compactas, fáciles de evaluar, que describen con precisión los fenómenos científicos estudiados, haciendo a BVPP un método ideal para usarse en aplicaciones prácticas. BVPP transforma una ecuación diferencial en una ecuación integral y utiliza un algoritmo iterativo, tal como en el método de Picard básico; sin embargo, a diferencia del método básico, BVPP permite la elección de una función inicial apropiada provista de varios parámetros de ajuste que se optimizan para obtener una solución analítica aproximada y precisa con un esfuerzo mínimo. En términos generales, BVPP representa un avance significativo en el análisis de ecuaciones diferenciales difíciles de resolver, particularmente en el campo de la ingeniería biomédica.

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Citas

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