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The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical, mechanical engineering and quantum mechanics. At the end of this course, it will also focus on the formulation, a method of the extended gradient, and some open problems.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

Incompressible flow in elastic wall pipes 00:18:00
Branch points and branch cuts 00:20:00
Conservation laws in continuum modeling 00:18:00
Simplest car following traffic flow model 00:19:00
Discrete to continuum modeling 00:17:00
Weakly nonlinear oscillators 00:18:00
Hopf bifurcations 00:18:00
Weakly nonlinear breathers 00:20:00
Stability of numerical schemes for partial differential equations 00:19:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

Course Reviews

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