Thx. Yes they are dependent on boundary conditions. But for the more simple cases i was sure to find tables of green functions.FredGarvin said:I can't honestly say that I have seen anything tabulated. I can't say that I have ever looked for anything like that though either. I was always under the impression that green fuctions are dependent on boundary conditions and the Diff. Eq's being used. I'll keep my eyes open to see if I find anything. You might try searching with "Green's functions" as well. I have heard them referred to in both ways.
There exists no such list since a "Green Function" is any function whose Laplacian equals [itex]\delta[/itex](|x-x'|). There is an infinity of such functions.JohanL said:I need a list of Green functions,
for different types of equations and dimensions.
I have tried to use google but with no success.
pmb_phy said:There exists no such list since a "Green Function" is any function whose Laplacian equals [itex]\delta[/itex](|x-x'|). There is an infinity of such functions.
WMGoBuffs said:Check out the first chapter or two of Jackson Electrodynamics for everything you would ever care to know about green functions.
You may find these books useful:http://www.worldscibooks.com/physics/p067.htmlJohanL said:I need a list of Green functions, for different types of equations and dimensions.
Green Functions are mathematical tools used in solving differential equations. They allow us to express the solution of an equation in terms of an integral involving the Green Function and a given forcing function. This technique is particularly useful for solving equations of all types and dimensions, as it provides a general framework for finding solutions.
Green Functions can be used to solve a wide range of equations, including ordinary differential equations, partial differential equations, and integral equations. They are also applicable to equations in different dimensions, such as one, two, or three-dimensional problems.
Green Functions offer a more general and systematic approach to solving equations compared to other methods, such as separation of variables or Laplace transforms. They also provide a way to solve equations that may not have explicit analytical solutions.
No, Green Functions can be used to solve both linear and non-linear equations. However, they are particularly useful for linear equations, as they allow us to separate the solution into homogeneous and particular parts, making it easier to find a solution.
Green Functions can provide insight into the behavior of a system by allowing us to analyze the response to different types of forcing functions. By studying how the Green Function changes with different inputs, we can gain a better understanding of the dynamics and characteristics of a system.