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.
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.
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Course Credit: MIT
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|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|
|Weakly nonlinear breathers||00:20:00|
|Stability of numerical schemes for partial differential equations||00:19:00|
|Submit Your Assignment||00:00:00|
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