Partial differential equations
In physics, the Green's function (or fundamental solution) for Laplace's equation in three variables is used to describe the response of a particular type of physical system to a point source. In particular, this Green's function arises in systems that can be described by Poisson's equation, a partial differential equation (PDE) of the form where is the Laplace operator in , is the source term of the system, and is the solution to the equation. Because is a linear differential operator, the solution to a general system of this type can be written as an integral over a distribution of source given by : where the Green's function for Laplace's equation in three variables describes the response of the system at the point to a point source located at : and the point source is given by , the Dirac delta function. (Wikipedia).
Separation of Variables - Laplace Eq Part 1
We use Separation of Variables to solve the Laplace Equation, including boundary conditions.
From playlist Mathematical Physics II Uploads
Laplace Transform Explained and Visualized Intuitively
Laplace Transform explained and visualized with 3D animations, giving an intuitive understanding of the equations. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Free ebook http://tinyurl.com/EngMathYT How to apply Green's theorem to line integrals. An example is discussed showing the ideas.
From playlist Engineering Mathematics
Calculus 3: Green's Theorem (4 of 21) Applications of Green's Theorem: Ex 1A
Visit http://ilectureonline.com for more math and science lectures! In this video I will use Green's Theorem to solve the example where P=5x and Q=x^3, Ex. 1A. Next video in the series can be seen at: https://youtu.be/GfRPD4xg1wc
From playlist CALCULUS 3 CH 7 GREEN'S THEOREM
C75 Introduction to the Laplace Transform
Another method of solving differential equations is by firs transforming the equation using the Laplace transform. It is a set of instructions, just like differential and integration. In fact, a function is multiplied by e to the power negative s times t and the improper integral from ze
From playlist Differential Equations
Lec 24 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 24: Laplace's equation (part 2) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Calculus 3: Green's Theorem (5 of 21) Applications of Green's Theorem: Ex 1B
Visit http://ilectureonline.com for more math and science lectures! In this video I will NOT use Green's Theorem to solve the example where P=5x and Q=x^3, Ex. 1B. Next video in the series can be seen at: https://youtu.be/NpRFgInnLI8
From playlist CALCULUS 3 CH 7 GREEN'S THEOREM
Differential Equations | The Laplace Transform of a Derivative
We establish a formula involving the Laplace transform of the derivative of a function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
Lec 9 | MIT 18.085 Computational Science and Engineering I
Solutions of Laplace equation: complex variables A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007
Calculus 3: Green's Theorem (3 of 21) What is Green's Theorem? Part 3
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Green's Theorem by NOT using Green's Theorem on the example where P=x^4 and Q=xy, Part 3. Next video in the series can be seen at: https://youtu.be/au9xC5sxyDk
From playlist THE "WHAT IS" PLAYLIST
15. Linearized gravity II: Dynamic sources
MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx Solving the linearized field equation for a dynamical source. Using a radia
From playlist MIT 8.962 General Relativity, Spring 2020
Differential Equations: Solving Laplace Transform DEs with Translation Practice
When solving a differential equation with a Laplace transform, it is necessary that the initial conditions describe the state of the function at t = 0. When they don't, however, we can define a translated version of the function which is defined at the zero of that function. In this video,
From playlist Differential Equations
In this video, I solve Laplace's equation on the upper half-plane. For this, I use Green's functions and a clever reflection formula. At the end, I derive the celebrated "Fish" formula for the upper half-plane. Enjoy! Green's Function: https://youtu.be/kqg8L41u4Yg Partial Differential Equ
From playlist Partial Differential Equations
Universality of Resurgence in Quantization Theories - 13 June 2018
http://crm.sns.it/event/433 Universality of Resurgence in Quantization Theories Recent mathematical progress in the modern theory of resurgent asymptotic analysis (using trans-series and alien calculus) has recently begun to be applied systematically to many current problems of interest,
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Lecture 18: The Laplace Operator (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Part I: Complex Variables, Lec 3: Conformal Mappings
Part I: Complex Variables, Lecture 3: Conformal Mappings Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Calculus of Complex Variables
Lec 23 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 23: Laplace's equation (part 1) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Laplace transform of e^(at). We will use the definition of Laplace transform to determine L{e^(at)}. Laplace transform of the exponential function. Laplace Transformation (ultimate study guide) 👉 https://youtu.be/ftnpM_RO0Jc Get a Laplace Transform For You t-shirt 👉 https://bit.ly/lapla
From playlist Laplace Transform (Nagle Sect7.2)
ME564 Lecture 27: Potential flow, stream functions, and examples
ME564 Lecture 27 Potential flow, stream functions, and examples Potential flow and Laplace's equation Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L27.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)
Finding the Laplace Transform of a Piecewise Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Laplace Transform of a Piecewise Function
From playlist Differential Equations