Laplace Transform: Partial Differential Equations #14 | ZC OCW

Error functions are introduced and analyzed, as well as the Laplace transform and its properties. Then, the Laplace transform is used in solving Heat and Wave equations.

Contents:
00:00 Introduction to Laplace transform for PDEs
04:07 Error functions: Introduction & Analysis
19:38 Properties of Laplace transform
22:26 Solving an example of Laplace transform using error functions
31:30 Laplace transform for PDEs
45:33 Solving the Wave equation using Laplace transform
1:01:17 Solving the Heat equation using Laplace transform
1:14:00 Solving the Heat equation using LT (Heat dissipation case)

About this course (PDEs & Complex Analysis):
Instructor: Dr. Ahmed Abdelsamea, associate professor of Applied Mathematics department at the University of Science and Technology in Zewail City, Egypt.

About ZC OCW:
Zewail City OpenCourseWare (ZC OCW) is a project that aims to enable public access to university-level courses delivered at the University of Science and Technology in Zewail City, Egypt.