Differential equations of classical physics. Interpretation and solution through systems dynamics
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Universidad Industrial de Santander
Abstract
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Las ecuaciones diferenciales lineales y no lineales constituyen los medios matemáticos para estudiar la dinámica de los sistemas físicos. En general esas ecuaciones pueden ser analizadas y resueltas analíticamente por métodos clásicos. En el caso de sistemas complejos no lineales hay que recurrir a métodos numéricos para su análisis y solución. Utilizando la metodología de Dinámica de Sistemas (DS) es posible representar, analizar y simular el comportamiento de sistemas físicos tanto lineales como no lineales. En este trabajo se estudian algunos modelos físicos mediante DS.
Linear and nonlinear differential equations are mathematical instruments to study physical systems. In general, these equations can be analyzed and solved analytically by classical methods. In the case of complex nonlinear systems, numerical methods must be used for analysis and solution. Using Systems Dynamics (SD) methodology it is possible to represent, analyze and simulate the behavior of both linear and nonlinear physical systems. In this paper we consider some physical models using SD.
Linear and nonlinear differential equations are mathematical instruments to study physical systems. In general, these equations can be analyzed and solved analytically by classical methods. In the case of complex nonlinear systems, numerical methods must be used for analysis and solution. Using Systems Dynamics (SD) methodology it is possible to represent, analyze and simulate the behavior of both linear and nonlinear physical systems. In this paper we consider some physical models using SD.
Keywords
Differential equations, classic physics, system dynamics, Ecuaciones diferenciales, física clásica, dinámica de sistemas