{"id":854,"date":"2017-12-12T13:32:48","date_gmt":"2017-12-12T18:32:48","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=854"},"modified":"2026-04-05T05:51:26","modified_gmt":"2026-04-05T10:51:26","slug":"2eva2012ti_t3-edp-eliptica-placa-rectangular","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2012ti_t3-edp-eliptica-placa-rectangular\/","title":{"rendered":"2Eva2012TI_T3 EDP el\u00edptica, placa rectangular"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 28\/Agosto\/2012. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (20 puntos) Aproxime la soluci\u00f3n de la ecuaci\u00f3n diferencial parcial:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\frac{\\partial ^2 u}{\\partial x^2} + \\frac{\\partial ^2 u}{\\partial y^2} = (x^2 + y^2) e^{xy}<\/span>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0&lt; x &lt; 1 <\/span>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0&lt; y &lt; 0.5 <\/span>\n<\/div>\n<\/div>\n\n\n\n<p>Con las condiciones de frontera:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><span class=\"wp-katex-eq katex-display\" data-display=\"true\"> u(x,0.5) = \\sqrt{e^x} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> u(x,0) = 1 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0 \\leq x \\leq 1 <\/span>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><span class=\"wp-katex-eq katex-display\" data-display=\"true\"> u(0,y) = 1<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> u(1,y) = e^y <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0 \\leq y \\leq 0.5 <\/span>\n<\/div>\n<\/div>\n\n\n\n<p>Usando un tama\u00f1o de paso h<sub>x<\/sub> = h<sub>y<\/sub> = 0.25<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 28\/Agosto\/2012. ICM00158 Tema 3. (20 puntos) Aproxime la soluci\u00f3n de la ecuaci\u00f3n diferencial parcial: Con las condiciones de frontera: Usando un tama\u00f1o de paso hx = hy = 0.25<\/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-854","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\/854","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=854"}],"version-history":[{"count":7,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/854\/revisions"}],"predecessor-version":[{"id":17363,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/854\/revisions\/17363"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=854"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=854"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=854"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}