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9.142  Articles
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This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia.. In this course, the concept o... see more

Background: The study of the use of Mathematical Modeling as a pedagogical alternative has been an emerging research topic and it is directly linked to the importance of improving the teaching and learning of Mathematics and the development of skills. How... see more

Differential equations are ubiquitous in many fields of study, yet not all equations, whether ordinary or partial, can be solved analytically. Traditional numerical methods such as time-stepping schemes have been devised to approximate these solutions. Wi... see more

In this paper, we present, briefly, the bifront character of the ordinary differential equations (ODE): on the one hand the theoretical specialization in different areas and on the other, the multiplicity of applications of the same, as well as some refle... see more

This paper deals with extended solutions of a system of nonlinear integro-differential equations. This system is obtained in the process of applying the Galerkin method for some initial-boundary value problems.

In this paper, a system of singularly perturbed second order semilinear differential equations with prescribed boundary conditions is considered. To solve this problem, a parameter-uniform numerical method is constructed which consists of a classical fini... see more

In this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Nume... see more

In this study, by means of the matrix relations between the Laguerre polynomials, and their derivatives, a novel matrix method based on collocation points is modified and developed for solving a class of second-order nonlinear ordinary differential equati... see more

Context. An important stage in the design of cyber-physical immunosensory systems is the development and research of theirmathematical and computer models, the construction of which would be based on biological assumptions to obtain appropriatesystems of ... see more

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