{"id":4036,"date":"2025-09-18T19:40:44","date_gmt":"2025-09-18T19:40:44","guid":{"rendered":"http:\/\/wolframu.wolfram.com\/?post_type=courses&#038;p=4036"},"modified":"2026-07-09T21:55:28","modified_gmt":"2026-07-09T21:55:28","slug":"numeric-pde-solving-over-regions-math042","status":"publish","type":"courses","link":"https:\/\/www.wolfram.com\/wolfram-u\/courses\/mathematics\/numeric-pde-solving-over-regions-math042\/","title":{"rendered":"Numeric PDE Solving over Regions"},"content":{"rendered":"<p>In this video lesson, you will discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with <strong>DEigensystem<\/strong> and <strong>NDEigensystem<\/strong> and use Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs. Learn about classical PDE problems like vibrations of a stretched string, heat flow in an insulated bar and a Dirichlet problem in a rectangle, as well as modern PDE problems like shock waves, the Black\u2013Scholes model and a quantum particle in a box. Finally, see how to apply different types of PDE problems to 3D structural mechanics problems.<\/p>","protected":false},"excerpt":{"rendered":"In this video lesson, you will discover how to solve PDEs over regions, find eigenvalues and eigenfunctions over regions with DEigensystem and NDEigensystem and use Wolfram Language functionality to create better PDE models and gain a deeper understanding of your physics and engineering designs. Learn about classical PDE problems like vibrations of a stretched string, heat flow in an insulated bar and a Dirichlet problem in a rectangle, as well as modern PDE problems like shock waves, the Black\u2013Scholes model and a quantum particle in a box. Finally, see how to apply different types of PDE problems to 3D structural mechanics problems.","protected":false},"featured_media":4039,"parent":0,"template":"","meta":{"footnotes":""},"course_format":[22],"class_list":["post-4036","courses","type-courses","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/4036"}],"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\/4036\/revisions"}],"predecessor-version":[{"id":4554,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/4036\/revisions\/4554"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media\/4039"}],"wp:attachment":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media?parent=4036"}],"wp:term":[{"taxonomy":"course_format","embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/course_format?post=4036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}