# Partial differential equations

Other, , Prof. ChrisTisdell

Updated On 02 Feb, 19

Other, , Prof. ChrisTisdell

Updated On 02 Feb, 19

Contents:

how to solve PDE via method of characteristics - How to solve the transport equation (PDE) - How to solve basic transport PDE problems - The transport equation-How to solve PDE via directional derivatives - Solve PDE via an integrating factor - How to derive the more general transport equation - How to solve inhomogeneous transport PDE - How to solve PDE via change of co-ordinates - How to solve PDE via change of variables - Example of how to solve PDE via change of variables - Method of Characteristics: How to solve PDE - PDE and method of characteristics: a how to solve Burger's equation (PDE)-How to solve quasi linear PDE - Method of characteristics and PDE - How to factor and solve the wave equation (PDE) - How to solve second order PDE - How to classify second order PDE - How to solve the wave equation (PDE)

Solution to the wave equation + Duhamel's principle (PDE) - How to derive the wave equation (PDE) - How to solve the inhomogeneous wave equation (PDE) - 5 things you need to know: Heat equation - Heat equation: How to solve heat equation: example-How to solve heat equation on half line - Heat equation derivation - Turning PDE into ODE - Similarity solution method: PDE - Introduction to Laplace transforms - First shifting theorem: Laplace transforms - Second shifting theorem: Laplace transforms - Introduction to Heaviside step function - Laplace transform: square wave - Laplace transforms + ODEs -Solve PDE via Laplace transforms - How to solve PDE: Laplace transforms - Laplace transforms vs separation of variables - Intro to Fourier transforms: how to calculate them - Fourier transforms: Shifting theorem - How to apply Fourier transforms to solve differential equations - Intro to Partial Differential Equations (Revision Math Class)

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4.1 ( 11 )

Basic example showing how to solve PDE via method of characteristics. A general first order problem is solved with a concrete example discussed at the end. The ideas can be used to solve many kinds of first order partial differential equations.

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.