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.
REFERENCES1) Lyttleton, R. A. 1960. The rediscovery of Neptune. Vistas in Astronomy, 3, 25-46.
2) Swade, D. D. 2003. Calculation and tabulation in the 19th century: Airy versus Babbage. University of London, University College London (United Kingdom).
3) Von Neumann, J., & Goldstine, H. H. 1947. Numerical inverting of matrices of high order.
4) Burden, R., & Faires, J. 2011. Numerical Analysis 9th edn (Boston: Brooks/Cole).
5) Chapra, S. C., Canale, R. P., Ruiz, R. S. G., Mercado, V. H. I., Díaz, E. M., & Benites, G. E. (2011). Métodos numéricos para ingenieros Vol5. New York, NY, USA: McGraw-Hill.
6) Daniels, R. W. 1978. An introduction to numerical methods and optimization techniques. Elsevier.
7) Butenko, S., & Pardalos, P. M. 2014. Numerical methods and optimization: An introduction. CRC Press.
8) Corless, R. M., & Fillion, N. 2013. A graduate introduction to numerical methods. Springer.
9) Luthe, R., Olivera, A., & Schutz, F. 1978. Métodos Numéricos, Editorial Limusa.
10) Goswami, S., & Hemmati, A. 2020. Response of turbulent pipeflow to multiple square bar roughness elements at high Reynolds number. Physics of Fluids, 32(7).
11) Messa, G. V., & Matoušek, V. 2020. Analysis and discussion of two fluid modelling of pipe flow of fully suspended slurry. Powder Technology, 360, 747-768.
12) Avila, M., Barkley, D., & Hof, B. 2023. Transition to turbulence in pipe flow. Annual Review of Fluid Mechanics, 55, 575-602.
13) Moore, H., Olguín, V. C., & Nuño, R. M. 2007. MATLAB para ingenieros. Pearson Educación.
14) Giron-Sierra, J. M. 2017. Digital Signal Processing with Matlab Examples, Volume 1. Singapore: Springer.
15) Wang, L. 2020. PID control system design and automatic tuning using MATLAB/Simulink. John Wiley & Sons.
16) Shanmugasundaram, N., Kumar, S. P., & Ganesh, E. N. 2022. Modelling and analysis of space vector pulse width modulated inverter drives system using MatLab/Simulink. International Journal of Advanced Intelligence Paradigms, 22(1-2), 200-213.
17) Jeong, J., Kim, Y., Bae, S., & Youn, S. 2023. Simulation of classical axion electrodynamics using COMSOL multiphysics. Journal of the Korean Physical Society, 1-7.
18) Lliev, I. K., Gizzatullin, A. R., Filimonova, A. A., Chichirova, N. D., & Beloev, I. H. 2023. Numerical Simulation of Processes in an Electrochemical Cell Using COMSOL Multiphysics. Energies, 16(21), 7265.
19) Hulkó, G., Belavý, C., Buček, P., & Zajíček, K. O. P. 2009. Control of Systems Modeled by COMSOL Multiphysics as Distributed Parameter Systems. In COMSOL Conference 2009.
20) López, D. B. 2009. Análisis de circuitos con PSpice. Alpha Editorial.
21) Sedra, A., Smith, K. C., Carusone, T. C., & Gaudet, V. 2020. Microelectronic circuits 8th edition Oxford.
22) Lalitha, M. P., Kumar, K. V. P., & Samala, V. 2014. Design and simulation of voltage and electric field distribution on disc insulators using finite element method in Opera software. In 2014 International Conference on Smart Electric Grid (ISEG) (pp. 1-6). IEEE.
23) Jolissaint, L., Veran, J. P., & Marino, J. 2004. OPERA, an automatic PSF reconstruction software for Shack-Hartmann AO systems: application to Altair. In Advancements in Adaptive Optics (Vol. 5490, pp. 151-163). SPIE.
24) Sandoval-Hernández, M. A., Vazquez-Leal, H., Filobello-Nino, U. A., Morales-Alarcón, G. J., Velez-López, G. C., Castañeda-Sheissa, R., Campos-Dominguez S. Y., Ocaña-Pimentel, S., Domiguez-Chavez, J. A., Sampieri-Gonzalez, C.E., Pretelin-Canela, J. E., Bagatella-Flores, N., Escobar-Flores, A. R, Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gasca-Herrera, A. E., Perez-Jacome-Friscione, J. E, Cuellar-Hernandez, L. & Pablo-López, B. 2023. Using Horner's Algorithm to Reduce Computing Times. International Journal of Engineering Research & Technology (IJERT), 12(6), 325-331, ISSN 2278-0181.
25) Sandoval-Hernandez, M., Vazquez-Leal, H., Filobello-Nino, U., De-Leo-Baquero, E., Bielma-Perez, A. C., Vichi-Mendoza, J. C., Alvarez-Gasca, O., Contreras-Hernandez, A. D., Bagatella-Flores, N., Palma-Grayeb, B. E., Sanchez-Orea, J., Cuellar-Hernandez, L. & Cuellar-Hernandez, L. 2021. The Quadratic Equation and its Numerical Roots. International Journal of Engineering Research y Technology, 10(6), 301-305.
Volume 07 Issue 02 February 2024
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