{"id":17074,"date":"2018-03-09T09:04:59","date_gmt":"2018-03-09T09:04:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/el-metodo-de-descomposicion-en-ecuaciones-diferenciales-ordinarias-con-parametro\/"},"modified":"2018-03-09T09:04:59","modified_gmt":"2018-03-09T09:04:59","slug":"el-metodo-de-descomposicion-en-ecuaciones-diferenciales-ordinarias-con-parametro","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/el-metodo-de-descomposicion-en-ecuaciones-diferenciales-ordinarias-con-parametro\/","title":{"rendered":"El m\u00e9todo de descomposici\u00f3n en ecuaciones diferenciales ordinarias con par\u00e1metro"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Al-hayani Waleed Mohammed Fath\u00ed <\/strong><\/h2>\n<p>Se ha comprobado que el m\u00e9todo de descomposici\u00f3n proporciona una convergencia r\u00e1pida de la series soluci\u00f3n de ecuaciones lineales y no lineales, deterministas y estoc\u00e1sticas. El objetivo de este trabajo es presentar t\u00e9cnicas adecuadas para la implementaci\u00f3n del m\u00e9todo en edo con par\u00e1metros, tanto en problemas de valor inicial como en problemas de contorno. Determinamos la validez del m\u00e9todo utilizando un teorema de punto fijo en los siguientes tipos de problemas:  problemas de valor inicial (cap\u00edtulo ii)  problemas de contorno lineales (cap\u00edtulo iii)  problemas de contorno no lineales (cap\u00edtulo iv)  problemas con puntos de retroceso (cap\u00edtulo v)  problemas con discontinuidades (cap\u00edtulo vi)  comparamos el m\u00e9todo con las t\u00e9cnicas usuales de perturbaci\u00f3n y diferencias finitas, analizando la mejor elecci\u00f3n del operador y el rango de valores del par\u00e1metro donde los m\u00e9todos de descomposici\u00f3n son convergentes. Se utilizan en casi todos los problemas dos algoritmos de descomposici\u00f3n, llamados est\u00e1ndar y modificado.  en cada cap\u00edtulo nos fijamos especialmente en los problemas singularmente perturbados. La comprobaci\u00f3n de la validez del m\u00e9todo ha exigido un notable trabajo de computaci\u00f3n. Se han utilizado a este fin algunos de los problemas m\u00e1s relevantes de la bibliograf\u00eda. Nuestros resultados se dan en t\u00e9rminos del orden estimado de convergencia (local y global), errores residuales y relativos y normas de los t\u00e9rminos yk(x) en los aproximantes n(x) = y0(x) +&#8230;+ Un(x). Algunos de los resultados originales son la aplicaci\u00f3n del m\u00e9todo a problemas con discontinuidades, puntos de retroceso y problemas de orden mayor que 2.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>El m\u00e9todo de descomposici\u00f3n en ecuaciones diferenciales ordinarias con par\u00e1metro<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 El m\u00e9todo de descomposici\u00f3n en ecuaciones diferenciales ordinarias con par\u00e1metro <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Al-hayani Waleed Mohammed Fath\u00ed <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/05\/2002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Luis Casas\u00fas Latorre<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gonz\u00e1lez montiel Jos\u00e9 gaspar <\/li>\n<li>ramon Alonso sanz (vocal)<\/li>\n<li>Jaime Mu\u00f1oz masqu\u00e9 (vocal)<\/li>\n<li>purificaci\u00f3n Gonz\u00e1lez sancho (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Al-hayani Waleed Mohammed Fath\u00ed Se ha comprobado que el m\u00e9todo de descomposici\u00f3n proporciona una convergencia r\u00e1pida de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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