Numerical Methods and Programing by P.B.Sunil Kumar, Dept of physics, IIT Madras
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Comments about this Video
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Unclear!
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Unclear!
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You have explained it well, except In the first example (Heat transfer) before the end the step where you convert the equation to del format, you multiplied the equation by dx/dy which does get ride of dx or delta x before the = sign. Can you please explain
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He divided both sides of the equation by: dx*dy
The first term loses the dy on the top and only has the dx at the bottom.
The second term loses the dx on the top and only keeps the dy at the bottom.
The right side stays 0.
Then he notices that the limit as dx tends to 0 makes the first term the definition of the first partial derivative with respect to x.
The same thing goes for the second term but with respect to y.
Was that what you were asking or did I totally miss the point?
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If the boundary conditions in the Laplace Equation is homogeneous... why not just seek a solution of the form: U(x,y) = X(x)Y(y) and replacing that in the Laplace Equation instead of using the definition of partial derivatives like you did.
If the boundary conditions are not homogeneous, you can always use a substitution with chain rule to make it homogeneous and again seek a solution of the form : U(x,y) = X(x)Y(y)
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good job thanks
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90% of the people watching this video cant understand you beacuse of your accent. You should slow down and work on your english pronunciation before you try to teach this course in english.
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I speak french and I understood everything he said. Yes this guy has an accent but it is not that bad...
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BRILLIANT EXPLANATION.
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it all makes so much sense now!
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great explaination
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Excellent Explaination and Accent is acceptable.
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gracias men me salvo de un parcial tesisimo ke tenia too bn
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90 % of the people watching this video should go to class instead of trying to learn online. This lecture is a privaledge, also whether the people watching it dont understand it is irrelevant. It is posted for students from an Indian university, I doubt they are in youre 90 %. Its not like he's trying to give you a nice alternative to not attending youre class or looking at the topic a different way, this is a posted lecture for a different class. Its nice we get to see it right.
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Of course you'll understand outlawing dissent very well since in an earlier post, that anyone can go and check, you mentioned that I should not have the right to free speech since I disagree with your pseudo science of agw, so I guess you'd be perfectly ok with losing your own ability to dissent, since it was just fine for you to do that to others??
I just turned everything you said back on you and you cant seem to understand what happened. I'd encourage you to go back and read again :P
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And I'd make marxism the law in the United States. And I'd prevent you from voting and from any political power, just like the two rightwing conservative fascist Democrat and Republican parties do to ALL other parties - not just the Communist Party USA and Socialist.
I would laugh if somebody raped your kids. Oh wait. That couldn't happen. There's no way you could reproduce voluntarily!
There's nothing about Partial Differential Equations to support your twisted views.
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But Partial Differential Equations fully support the FACT that subhumans like you are polluting the world and raising the global average termperature and destroying OUR planet for the REST of us.
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You are a depraved sociopath and you are admitting to laughing at raping a child. I shouldnt really respond to that b/c you are off your rocker but just so you know , if you ever said something like that to me, whether you meant it or not, I'd break your jaw into at least 5 pieces, and probably your neck with it XD
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haha, look at all these comments for a video about PDEs! havent been on youtube in a while, good to see all the usual suspects are here voicing their opinions that they're afraid to say away from the safety of the internet. i know half of ye are only doing it to stir up the rest of them but seriously, get a life!
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Polluting far more than your fair share of the environment and interfering with national and international security - yes, even the US's National Security Agency knows that GW is a serious threat - and those of us who do what we can do stop it - is not free speech. GW is not speech: it is a real physical action.
So much for your "math" and math-modelling (with PDEs) abilities.
I would love to wipe my ass with you.
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Ultraconservative religionist muslims (I am a proud patriotic atheist) have denied GW for years, just like they have bashed Darwin and the fact of Evolution.
Thanks to you and your kind, even braindead ultraconservative Bin Laden now knows GW is real and serious. Thanks to you and your ultra-conservative religion-kiss-ass friends, Bin Laden will make more attacks on the US.
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So now you are on bin Laden's side??
why am I not suprised?
so far you have explicitly advocated everything from Stalin's death squads to child rape to al qada, and you have connceted it all to your support of agw.
that says about all that needs to be said.
an unofortunate thing is that wackos like you will make it hard for decent people who have legitimate concerns about destruction to real valuable ecologies. people like you are the worst thing that could happen to a movement
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And you Holocaust-denying GW-denying wacko rightwing religionists are the cause for all the starvation, murder, death, enslavement and imprisonment in the world.
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the only thing I and others like myself owe you is a good old fashioned ass whoopin, and we will ignore your puny little weak and feeble cries while doing it.
Your heroes are people like stalin, lenin, hitler, mao and castro, and now bin laden. Youre an unrepentant genocidal maniac.
It is people like you that have caused every holocuast of the 20th century, and nobody but you socialists deny any of it. I certainly dont deny any of them, in fact I say you socialists owe us for doing them!!
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Yeah - right. Fighting against selfish tyrants - whether they are dictators or corporations - to give MORE money to the poor, to free people from prison over TRIVIAL things - such as THEIR right to put what drugs or porn into THEIR bodies, or to have abortions - and to put cowardly selfish subhuman trash like Reagan, Bush, Clinton in prison for raising OUR taxes and giving them to the rich and for MURDERING and TORTURING trillions of animals - yeah, that "really" "causes" holocausts.
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Your mind lives in a phantom world that has no physical existence. You need to seek help. Maybe you'd make a good research subject? I'd love to see an fMRI analysis of your brain. I bet its a real doozy!
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You're just another anti-drug anti-porn terrorist who wants to take away personal freedoms and raise our costs - through extremist court costs - because you vote only for Republicrats and Demopubs.
You're an unpatriotic America-hating coward who damages the United States by your resistance to fight for the War Against Global Warming.
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lmao! You never get anything right do you? You can do all the drugs and watch all the ADULT porn you want. You just basically said you want to enjoy capitalism and preach socialism btw. You would find that in a commie country, all of a sudden you couldnt do so many drugs and watch so much porn anymore, since you would be doing slave labor for the communist govt.
Agw is a scientific fraud, you basically admitted that, as well as liking drugs and those better be ADUTLS in that porn you watch!
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Go join your lover boys, the Muslim theocrats, just like all you Reaganite-religionist-free-marketeers who dealt arms with Iran and Iraq back in the 1980s (when they were at war with each other, no less!)
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Go kill yourself you little crack smoking socialist pedophile.
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I cheer the day you will be locked away in prison for life and raped by a North Korean guard.
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I will put a foot so deep in your little weak feeble, slimy ass (with toxic waste proof boots on of course) that you will lose the rest of your teeth in the process (those that the meth pipe havent already claimed that is).
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What are all these comments about?!
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what the hell are all the raciest coments about? this lecture really helped me understand p.d.e.s, and i thenk p.b.sunil kumar for putting it up. top man, thanks for the help
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DAMN!!!! SHUT YOUR IGNORANT ASSES UP... this man is a genius!
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nice work
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this tutorial was fantastic explanation. thanks
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Thank you very...very...much ..sir,
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@blkscreen15 lol
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Calm down you troll.
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Longest intro evar!
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i thought IIT stands for the technion so i ran into this
and i am glad i did
good lecture
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