Thank you very much indeed ... I was confused with the concept of Green's function, and didn't know how one may exploit it to solve differential equations ... Now, I feel better !!!
i think u shouldn't by any mean using mathematical only to describe the green's function, more over it's deduced from green's first identity which means, green's first identity itself is sufficient to explain what a green function G means, it's nothing but any function which could be suffixed to describe the partial differential equation. and a green's 2nd identity is applied only when the state of the potential field is interchangeable, or else it's reduced to the first identity.
good comment! I did this video to show another (easy) way to look at it, which texts never seem to approach. But your comment really hit the nail on the head, I hope people learn from what you said (yes, a bad song lyric)
At 1:37 you should use the Dirac Delta, not the Kronecker Delta. Dirac Delta is treated as a continuous valued function used to represent a point source in PDE's. The Kronecker Delta is a discrete valued function, often used in correlation to prove orthogonality of functions, it is also employed in tensor analysis.
The full relation of a Green's function to -any square integrable function is L(x)G(x-x') = delta (x-x').
I Love The Video A general overview of the concept and use of greens function It Can Increase My Knowledge
anakmudajaman 1 month ago
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AntoMelta 1 month ago
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willamricard 1 month ago
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imegatrone 1 month ago
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bundawartini 1 month ago 2
Thank you very much indeed ... I was confused with the concept of Green's function, and didn't know how one may exploit it to solve differential equations ... Now, I feel better !!!
DrHosseini 2 months ago
You may just have saved my ass for my PDE's exam.
MrEM411 4 months ago
Love this.
tomoflore 9 months ago
Kronecker Delta!
jfchessa 10 months ago
Was that singing...?
hjones1 1 year ago
Nice :)
solgard 2 years ago
i think u shouldn't by any mean using mathematical only to describe the green's function, more over it's deduced from green's first identity which means, green's first identity itself is sufficient to explain what a green function G means, it's nothing but any function which could be suffixed to describe the partial differential equation. and a green's 2nd identity is applied only when the state of the potential field is interchangeable, or else it's reduced to the first identity.
papaonn 2 years ago
good comment! I did this video to show another (easy) way to look at it, which texts never seem to approach. But your comment really hit the nail on the head, I hope people learn from what you said (yes, a bad song lyric)
shadylaneproductions 2 years ago
At 1:37 you should use the Dirac Delta, not the Kronecker Delta. Dirac Delta is treated as a continuous valued function used to represent a point source in PDE's. The Kronecker Delta is a discrete valued function, often used in correlation to prove orthogonality of functions, it is also employed in tensor analysis.
The full relation of a Green's function to -any square integrable function is L(x)G(x-x') = delta (x-x').
69erthx1138 2 years ago 7
Are you playing and singing in the key of G ?
69erthx1138 2 years ago
hahahahahaha... very nice !!! good job!!
richarddantas 2 years ago
It was fun dude!! keep it up...
najeebmir123 3 years ago
You are good!! It helped my understanding of green's function a lot!
sheba313cs 3 years ago