{"id":654,"date":"2022-07-22T19:35:52","date_gmt":"2022-07-22T19:35:52","guid":{"rendered":"\/wolfram-u\/?post_type=courses&#038;p=654"},"modified":"2025-10-27T17:00:57","modified_gmt":"2025-10-27T17:00:57","slug":"solving-pdes-symbolics-numerics-math916","status":"publish","type":"courses","link":"https:\/\/www.wolfram.com\/wolfram-u\/courses\/mathematics\/solving-pdes-symbolics-numerics-math916\/","title":{"rendered":"Solving PDEs with Symbolics and Numerics"},"content":{"rendered":"<p>This video course provides a thorough introduction to solving partial differential equations (PDEs) in the Wolfram Language both symbolically and numerically. You'll learn how to solve boundary value problems for classical PDEs and obtain solutions for the Schr\u00f6dinger and other modern PDEs using the Wolfram Language function <a href=\"http:\/\/reference.wolfram.com\/language\/ref\/DSolve.html\">DSolve<\/a> and its numerical counterpart <a href=\"http:\/\/reference.wolfram.com\/language\/ref\/NDSolve.html\">NDSolve<\/a>. You'll also discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with <a href=\"http:\/\/reference.wolfram.com\/language\/ref\/DEigensystem.html\">DEigensystem<\/a> and <a href=\"http:\/\/reference.wolfram.com\/language\/ref\/NDEigensystem.html\">NDEigensystem<\/a> and use the latest Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs.<\/p>\r\n","protected":false},"excerpt":{"rendered":"This video course provides a thorough introduction to solving partial differential equations (PDEs) in the Wolfram Language both symbolically and numerically. You'll learn how to solve boundary value problems for classical PDEs and obtain solutions for the Schr\u00f6dinger and other modern PDEs using the Wolfram Language function DSolve and its numerical counterpart NDSolve. You'll also discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with DEigensystem and NDEigensystem and use the latest Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs.","protected":false},"featured_media":655,"parent":0,"template":"","meta":{"footnotes":""},"course_format":[21],"class_list":["post-654","courses","type-courses","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/654"}],"collection":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses"}],"about":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/types\/courses"}],"version-history":[{"count":3,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/654\/revisions"}],"predecessor-version":[{"id":4362,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/654\/revisions\/4362"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media\/655"}],"wp:attachment":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media?parent=654"}],"wp:term":[{"taxonomy":"course_format","embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/course_format?post=654"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}