1,2M. A. Sandoval-Hernandez, 3G. J. Morales-Alarcon, 4U. A. Filobello-Nino4, 4H. Vazquez-Leal ,5A. Alday-Garcia, 3C.E. Sampieri-Gonzalez, 4J. E. Pretelin-Canela, 4A. R. Escobar-Flores, 1A. E. Gasca-Herrera4, 4O. Alvarez-Gasca, 4A. D.Contreras-Hernandez, 4J. E. Perez-Jacome-Friscione, 1S. E. Torreblanca-Bouchan
1Centro de Bachillerato Tecnológico industrial y de servicios No. 190, Av. 15 Col. Venustiano Carranza 2da Sección, Boca del Río, 94297, Veracruz, México.
2Escuela de Ingeniería, Universidad de Xalapa, Carretera Xalapa-Veracruz Km 2 No. 341,91190 Xalapa, Veracruz, México
3Instituto de Psicología y Educación, Universidad Veracruzana, Agustín Melgar 2, col. 21 de Marzo, Xalapa, 91010 Veracruz, México.
4Facultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 91090, Veracruz, México.
5Facultad de Medicina, Calles Médicos y Odontólogos, Col. Unidad del Bosque, Xalapa 91010, Veracruz.
DOI : https://doi.org/10.47191/ijmra/v7-i02-13Google Scholar Download Pdf
ABSTRACT:
This article elucidates the method and implementation of finite differences, aiming to enhance clarity for students and provide detailed insights into its application, as many authors assume a pre-existing understanding of numerical analysis. It includes two case studies employing Dirichlet and Cauchy boundary conditions, demonstrating the precision and effectiveness of this numerical tool in obtaining results.
KEYWORDS:Numerical analysis, finite differences, ordinary differential equations, boundary conditions, Newton-Raphson.
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Volume 07 Issue 02 February 2024
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