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Libro: Ecuaciones diferenciales parciales (Walet)

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    Una ecuación diferencial parcial (PDE) es una ecuación diferencial que contiene funciones multivariables desconocidas y sus derivadas parciales. Las PDEs se utilizan para formular problemas que involucran funciones de varias variables, y se resuelven a mano, o se utilizan para crear un modelo informático relevante. Un caso especial son las ecuaciones diferenciales ordinarias (ODEs), que tratan con funciones de una sola variable y sus derivadas. Las PDE se pueden usar para describir una amplia variedad de fenómenos como sonido, calor, electrostática, electrodinámica, dinámica de fluidos, elasticidad o mecánica cuántica. Estos fenómenos físicos aparentemente distintos pueden formalizarse de manera similar en términos de PDE.

    Miniatura: Visualización de una solución a la ecuación bidimensional del calor con la temperatura representada por la tercera dimensión (Dominio Público; Oleg Alexandrov). La ecuación de calor es una ecuación diferencial parcial parabólica que describe la distribución del calor (o variación en la temperatura) en una región determinada a lo largo del tiempo.

    This page titled Libro: Ecuaciones diferenciales parciales (Walet) was last modified on Sun, 30 Oct 2022 15:08:53 GMT and is shared under a CC BY-NC-SA 2.0 license and was authored, remixed, and/or curated by Niels Walet via source content that was edited to the style and standards of the LibreTexts platform.