{"id":830,"date":"2018-03-12T23:53:18","date_gmt":"2018-03-12T21:53:18","guid":{"rendered":"http:\/\/www.joanillo.org\/?p=830"},"modified":"2020-10-13T23:54:23","modified_gmt":"2020-10-13T21:54:23","slug":"equacions-diferencials-mdf-metode-de-les-diferencies-finites","status":"publish","type":"post","link":"https:\/\/www.joanillo.org\/?p=830","title":{"rendered":"Equacions diferencials. MDF: M\u00e8tode de les difer\u00e8ncies finites"},"content":{"rendered":"<p><a href=\"http:\/\/www.joanillo.org\/wp-content\/uploads\/2018\/03\/MDF.png\"><img loading=\"lazy\" src=\"http:\/\/www.joanillo.org\/wp-content\/uploads\/2018\/03\/MDF.png\" alt=\"\" title=\"MDF\" width=\"300\" height=\"187\" class=\"alignright size-full wp-image-2235\"><\/a>En an\u00e0lisi num\u00e8rica, el m\u00e8tode de les difer\u00e8ncies finites \u00e9s un m\u00e8tode utilitzat per calcular de manera aproximada les solucions a les equacions diferencials usant equacions diferencials finites per aproximar derivades.<\/p>\n<p>En aquest article hem fet una introducci\u00f3 i una exposici\u00f3 aclaridora sobre aquest m\u00e8tode b\u00e0sic de c\u00e0lcul num\u00e8ric per a la resoluci\u00f3 d&#8217;equacions diferencials, i ho hem aplicat a l&#8217;exemple de la bal\u00edstica, en tres sup\u00f2sits: projectil sense fregament; fregament proporcional a la velocitat; i fregament proporcional al quadrat de la velocitat.<\/p>\n<ul>\n<li><a href=\"http:\/\/wiki.joanillo.org\/index.php\/Fitxer:Mdf.pdf\" title=\"MDF\">http:\/\/wiki.joanillo.org\/index.php\/Fitxer:Mdf.pdf<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Finite_difference_method\" title=\"Finite Difference Method\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/en.wikipedia.org\/wiki\/Finite_difference_method<\/a><\/li>\n<li><a href=\"https:\/\/ca.wikipedia.org\/wiki\/LaTeX\" title=\"LaTeX\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/ca.wikipedia.org\/wiki\/LaTeX<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>En an\u00e0lisi num\u00e8rica, el m\u00e8tode de les difer\u00e8ncies finites \u00e9s un m\u00e8tode utilitzat per calcular de manera aproximada les solucions a les equacions diferencials usant equacions diferencials finites per aproximar derivades. En aquest article hem fet una introducci\u00f3 i una exposici\u00f3 aclaridora sobre aquest m\u00e8tode b\u00e0sic de c\u00e0lcul num\u00e8ric per a la resoluci\u00f3 d&#8217;equacions diferencials, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[45,16,48,49],"tags":[],"_links":{"self":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/830"}],"collection":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=830"}],"version-history":[{"count":1,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/830\/revisions"}],"predecessor-version":[{"id":831,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/830\/revisions\/831"}],"wp:attachment":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}