{"id":2341,"date":"2018-08-29T12:03:40","date_gmt":"2018-08-29T17:03:40","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=2341"},"modified":"2025-12-13T03:31:02","modified_gmt":"2025-12-13T08:31:02","slug":"2eva2018ti_t3-edp-eliptica","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2018ti_t3-edp-eliptica\/","title":{"rendered":"2Eva2018TI_T3 EDP Eliptica"},"content":{"rendered":"\n

2da Evaluaci\u00f3n I T\u00e9rmino 2018-2019. 28\/Agosto\/2018. MATG1013<\/h2>\n\n\n\n

Tema 3<\/strong>. (25 puntos) Considere el problema con valores en la frontera:<\/p>\n\n\n \\frac{\\partial ^2 u}{\\partial x^2} + \\frac{\\partial ^2 u}{\\partial y^2} = 2(x^2+y^2)<\/span>\n\n\n\n

\n
0<x<1 <\/span>\n<\/div>\n\n\n\n
0<y<1<\/span>\n<\/div>\n<\/div>\n\n\n\n

con las condiciones de frontera en los mismos intervalos que la ecuaci\u00f3n diferencial:<\/p>\n\n\n\n

\n
u(x,0) = x + 1 <\/span>\n\n\n u(x,1) = x^2 + x +2 <\/span>\n<\/div>\n\n\n\n
u(0,y) = y+1 <\/span>\n\n\n u(1,y) = y^2 + y +2 <\/span>\n<\/div>\n<\/div>\n\n\n\n

Use el m\u00e9todo de diferencias finitas para resolver el problema tomando como tama\u00f1o de paso hx<\/sub> = hy<\/sub> = 1\/3<\/p>\n\n\n\n

R\u00fabrica<\/strong>: Selecci\u00f3n de diferencias finitas divididas, gr\u00e1fica del problema (5 puntos), ecuaci\u00f3n generalizada con diferencias finitas divididas (5 puntos), Sistema de ecuaciones para los puntos desconocidos (10 puntos). Valores de los puntos desconocidos (5 puntos)<\/p>\n\n\n\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

2da Evaluaci\u00f3n I T\u00e9rmino 2018-2019. 28\/Agosto\/2018. MATG1013 Tema 3. (25 puntos) Considere el problema con valores en la frontera: con las condiciones de frontera en los mismos intervalos que la ecuaci\u00f3n diferencial: Use el m\u00e9todo de diferencias finitas para resolver el problema tomando como tama\u00f1o de paso hx = hy = 1\/3 R\u00fabrica: Selecci\u00f3n de […]<\/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-2341","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\/2341","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=2341"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2341\/revisions"}],"predecessor-version":[{"id":17435,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2341\/revisions\/17435"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=2341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=2341"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=2341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}