Partial differential equations

Green's function for the three-variable Laplace equation

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).

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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

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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

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How to apply Green's theorem

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Poisson formula on half plane

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

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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

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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

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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

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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

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Laplace transform of e^(at)

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)

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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)

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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

Related pages

Differential operator | Parabolic coordinates | Bispherical coordinates | Whipple formulae | Gauss's law | Laplace's equation | Separation of variables | Laplace transform | Green's function | Toroidal coordinates | Dirac delta function | Legendre function | Legendre polynomials | Laplace operator | Prolate spheroidal coordinates | Laplace expansion (potential) | Fundamental solution | Poisson's equation | Oblate spheroidal coordinates | Newtonian potential | Partial differential equation