{"id":4855,"date":"2020-02-11T21:23:11","date_gmt":"2020-02-12T02:23:11","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=4855"},"modified":"2025-12-13T09:51:53","modified_gmt":"2025-12-13T14:51:53","slug":"3eva2019tii_t2-diferenciacion-valor-en-frontera","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva20\/3eva2019tii_t2-diferenciacion-valor-en-frontera\/","title":{"rendered":"3Eva2019TII_T2 Diferenciaci\u00f3n, valor en frontera"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2019-2020. 11\/Febrero\/2020. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (25 Puntos)) Aproxime la soluci\u00f3n del problema de valor de frontera para la ecuaci\u00f3n mostrada, usando diferenciaci\u00f3n num\u00e9rica con h = 1\/4<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y'' = -(x+1)y' + 2y + (1-x^2) e^{-x} <\/span>\n\n\n\n<p class=\"has-text-align-center\">0 \u2264 x \u2264 1<br>y(0) = -1<br>y(1) = 0<\/p>\n\n\n\n<p>a) Plantee las derivadas en diferencias divididas<\/p>\n\n\n\n<p>b) Formule y simplifique la ecuaci\u00f3n de diferencias divididas para el problema para cada punto interno de la tabla<\/p>\n\n\n\n<p>c) Presente la forma matricial del sistema de ecuaciones<\/p>\n\n\n\n<p>d) Encuentre los valores intermedios de y(xi) en la tabla, i = 1, 2, 3<\/p>\n\n\n\n<p>e) Estime el error<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>i<\/strong><\/td><td>0<\/td><td>1<\/td><td>2<\/td><td>3<\/td><td>4<\/td><\/tr><tr><td><strong>xi<\/strong><\/td><td>0<\/td><td>1\/4<\/td><td>1\/2<\/td><td>3\/4<\/td><td>1<\/td><\/tr><tr><td><strong>yi<\/strong><\/td><td>-1<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Plantear las derivadas (5 puntos), plantear la ecuaci\u00f3n en forma discreta (5 puntos), matriz del sistema de ecuaciones (5 puntos), estimar el error (5 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2019-2020. 11\/Febrero\/2020. MATG1013 Tema 2. (25 Puntos)) Aproxime la soluci\u00f3n del problema de valor de frontera para la ecuaci\u00f3n mostrada, usando diferenciaci\u00f3n num\u00e9rica con h = 1\/4 0 \u2264 x \u2264 1y(0) = -1y(1) = 0 a) Plantee las derivadas en diferencias divididas b) Formule y simplifique la ecuaci\u00f3n de diferencias [&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":[28],"tags":[55],"class_list":["post-4855","post","type-post","status-publish","format-standard","hentry","category-mn-3eva20","tag-diferenciacion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4855","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=4855"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4855\/revisions"}],"predecessor-version":[{"id":17695,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4855\/revisions\/17695"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=4855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=4855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=4855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}