publicaciones seleccionadas
-
artículo editorial
- A General Analytic Approximation Technique for the Modified Bessel Functions with Fractional Order <i>I<sub>v</sub> (x)</i>, Applied to <i>I<sub>1/6</sub>(x)</i> and <i>I<sub>1/7</sub>(x)</i>. Advances in Pure Mathematics. 2024
- Description of Parameter Variation Learning with Artificial Intelligence and GeoGebra in Students of a Differential Equations Course. Journal of Physics: Conference Series. 2024
- Geogebra in the visualization of integrating factors in non-exact differential equations. Journal of Physics: Conference Series. 2024
- Collocation method with GeoGebra in linear second order differential equations. 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES. 2023
- Influence of GeoGebra on academic performance in differential equations of separable variable for engineering students from Antofagasta-Chile. 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES. 2023
- Sixth order linear differential equations using GeoGebra applets. 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES. 2023
- Special cases in the method of undetermined coefficients with GeoGebra in non-homogeneous linear differential equations of third order. 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES. 2023
- Galerkin Method with GeoGebra in Differential Equations. Journal of Physics: Conference Series. 2021
- Numerical solution of Hermite differential equation using the spline method of order 1 with GeoGebra. Journal of Physics: Conference Series. 2021
- The Bessel function J_0 in fractional differential equations. Journal of Physics: Conference Series. 2021
- Visualizing some numerical solutions of linear second order differential equations with the Euler method and Lagrange interpolation via GeoGebra. Journal of Physics: Conference Series. 2021
- Exploring the exact differential equations with GeoGebra software. Journal of Physics: Conference Series. 2021
- Finite Elements and Finite Differences in some differential equations of second linear order with GeoGebra. Journal of Physics: Conference Series. 2021
- First-order linear partial differential equations using the GeoGebra and GeoGebra 3D graphing calculator. Journal of Physics: Conference Series. 2021
- The modified Bessel functions I3/4(x) and I−3/4(x) in certain fractional differential equations. Journal of Physics: Conference Series. 2021
- Quasi-Rational Analytic Approximation for the Modified Bessel Function I1(x) with High Accuracy. Symmetry. 2021
- Analytic approximation to Bessel function J(0)(x). Computational and Applied Mathematics. 2020
- Resolving non-homogeneous linear differential equations using the undetermined method coefficients and variation of parameters by means of GeoGebra. Journal of Physics: Conference Series. 2019
- The error function in fractional differential equations. Journal of Physics: Conference Series. 2019
- High Accuracy Analytic Approximations for Modified Bessel Functions I₀(x). 20. International Research Conference Proceedings, e-issn:1307-6892. 2018
- High accuracy analytic approximation for special functions applied to Bessel functions J0(x) and its zeros. 20. International Research Conference Proceedings ,e-issn:1307-6892. 2018
- Precise Analytic Approximation for the Parabolic Cylinder Function I₁/₄(x) and I-₁/₄(x). 20. International Research Conference Proceedings , e-issn:1307-6892. 2018
- A simple approximation for the modified Bessel function of zero order I-0(x). Journal of Physics: Conference Series. 2018
- Analytic approximations for special functions, applied to the modified Bessel functions I-2(x) and I-2/3(x). Results in Physics. 2018
- High accuracy approximation for the modified Bessel function of fractional order I-1/3(x). Journal of Physics: Conference Series. 2018
- Analytic approximation for the modified Bessel function I-2/3(x). Journal of Physics: Conference Series. 2017
- Hipergeometric solutions to some nonhomogeneous equations of fractional order. Journal of Physics: Conference Series. 2017
- Precise analytic approximation for the modified Bessel function I-1 (x). Revista Mexicana de Fisica. 2017
-
Precise analytic approximation for the modified Bessel function I
1 (x). Revista Mexicana de Fisica. 2017 - Multi-point quasi-rational approximants for the modified Bessel function I-1(x). Journal of Physics: Conference Series. 2016
-
capítulo
- Geogebra Applets and Gemini Artificial Intelligence in Separable Variable Differential Equations in Engineering Students of Antofagasta Chile. Mathematics and Computer Science: Contemporary Developments Vol. 5, 9 October 2024 , Page 116-124. 2024
-
documento
- Linear Homogeneous Linear Differential Equations of Third and Fourth order through GeoGebra Software for Engineering Students. Diamond Scientific Publishing. 2020
- Geogebra in the First-Order and Degree Two Differential Equations. Diamond Scientific Publishing.
-
documento de conferencia
- Animations and interactive creations in linear differential equations of first order: The case of Geogebra. Journal of Physics: Conference Series. 2018
red de Coautor
Mapa de la ciencia