{"id":3151,"date":"2019-01-31T11:56:40","date_gmt":"2019-01-31T16:56:40","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=3151"},"modified":"2025-12-13T03:44:35","modified_gmt":"2025-12-13T08:44:35","slug":"2eva2018tii_t3-edp","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2018tii_t3-edp\/","title":{"rendered":"2Eva2018TII_T3 EDP"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 29\/Enero\/2019. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (40 puntos) Resuelva la siguiente ecuaci\u00f3n diferencial parcial (EDP) usando un m\u00e9todo de diferencias finitas. Considere b = 0<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\frac{\\partial u}{\\partial t} = \\frac{\\partial ^2 u}{\\partial x^2} + b\\frac{\\partial u}{\\partial x}<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0&lt;x&lt;1, t&gt;0<\/span>\n\n\n\n<p>condiciones de frontera U(0,t)=0, U(1,t)=1<\/p>\n\n\n\n<p>condiciones de inicio U(x,0)=0, 0\u2264x\u22641<\/p>\n\n\n\n<p>a) Aproxime la soluci\u00f3n con h=0.25, realice dos pasos en t<\/p>\n\n\n\n<p>b) estime el error.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Plantea la malla (5 puntos), Conoce las f\u00f3rmulas de las derivadas (5 puntos), Plantea la ecuaci\u00f3n en los nodos de la malla (5 puntos), plantea las condiciones iniciales y condiciones de borde (5 puntos), Establece el valor de lamda y calcula el tama\u00f1o del paso k, (5 puntos) Realiza dos pasos (5 puntos), Conoce las f\u00f3rmulas del error (5 puntos), calcula el error (5 puntos).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 29\/Enero\/2019. MATG1013 Tema 3. (40 puntos) Resuelva la siguiente ecuaci\u00f3n diferencial parcial (EDP) usando un m\u00e9todo de diferencias finitas. Considere b = 0 condiciones de frontera U(0,t)=0, U(1,t)=1 condiciones de inicio U(x,0)=0, 0\u2264x\u22641 a) Aproxime la soluci\u00f3n con h=0.25, realice dos pasos en t b) estime el error. R\u00fabrica: Plantea [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[57],"class_list":["post-3151","post","type-post","status-publish","format-standard","hentry","category-mn-2eva20","tag-edp"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3151","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=3151"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3151\/revisions"}],"predecessor-version":[{"id":17451,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3151\/revisions\/17451"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3151"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3151"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3151"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}