{"id":21189,"date":"2026-01-22T10:05:00","date_gmt":"2026-01-22T15:05:00","guid":{"rendered":"https:\/\/blog.espol.edu.ec\/algoritmos101\/?p=21189"},"modified":"2026-01-24T10:15:30","modified_gmt":"2026-01-24T15:15:30","slug":"2eva2025paoii_t4-edp-parabolica-cos32pi","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva30\/2eva2025paoii_t4-edp-parabolica-cos32pi\/","title":{"rendered":"2Eva2025PAOII_T4 EDP parab\u00f3lica cos(3\/2pi)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n 2025-2026 PAO II. 20\/Enero\/2026<\/h2>\n\n\n\n<p>Tema 4. (20 puntos) Para aproximar la soluci\u00f3n de la EDP Parab\u00f3lica mostrada, use el m\u00e9todo expl\u00edcito.<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\frac{\\partial ^2 u}{\\partial x^2} - \\omega \\frac{\\partial u}{\\partial t} = 0<\/span>\n\n\n\n<p class=\"has-text-align-center\">1 &lt; x &lt; 2, t&gt;0<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2026\/01\/edp_parabolicaUx0inicial.png\" alt=\"EDP parab\u00f3lica U(x,0) condici\u00f3n inicial\" class=\"wp-image-21190\" \/><\/figure>\n\n\n\n<p>Condiciones de frontera: <br>u(1,t) = 0, u(2,t) = -1<\/p>\n\n\n\n<p>Condiciones iniciales: <br>u(x,0) = cos(3\u03c0x\/2)<\/p>\n\n\n\n<p>Considere para \u0394x=0.1, \u0394t=0.01, \u03c9=8<\/p>\n\n\n\n<p>a. Realizar la gr\u00e1fica de malla a usar en el planteamiento,<\/p>\n\n\n\n<p>b. Escribir las ecuaciones para las derivadas en forma discreta c. Desarrollar las expresiones a ser usadas junto con el <strong>algoritmo<\/strong> para obtener la soluci\u00f3n num\u00e9rica. Mostrar \u03bb, P, Q, R<\/p>\n\n\n\n<p>d. (extra) Adjuntar lo desarrollado con algoritmo.py y obtenido en resultados.txt y gr\u00e1fica png<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a (5 puntos), literal b (5puntos), literal c (10 puntos), literal d, extra (5 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n 2025-2026 PAO II. 20\/Enero\/2026 Tema 4. (20 puntos) Para aproximar la soluci\u00f3n de la EDP Parab\u00f3lica mostrada, use el m\u00e9todo expl\u00edcito. 1 &lt; x &lt; 2, t&gt;0 Condiciones de frontera: u(1,t) = 0, u(2,t) = -1 Condiciones iniciales: u(x,0) = cos(3\u03c0x\/2) Considere para \u0394x=0.1, \u0394t=0.01, \u03c9=8 a. Realizar la gr\u00e1fica de malla a [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[57],"class_list":["post-21189","post","type-post","status-publish","format-standard","hentry","category-mn-2eva30","tag-edp"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/21189","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=21189"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/21189\/revisions"}],"predecessor-version":[{"id":21195,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/21189\/revisions\/21195"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=21189"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=21189"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=21189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}