We have seen how to solve the generic scalar transport equation. We have come up with a certain way of discretizing the temporal term and a certain way of discretizing the advection term which we have...

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So, as I have indicated that mathematical modeling find wide spread applications in process analysis, in design, also in automation or control, finds quite specification in artificial intelligence....

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In the last lecture, we discussed a little bit about how to handle curved boundaries and curved elements and what we have said is we can handle them through appropriate mapping of the curve domain....

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Lecture 31 begins with a review of the imaginary part of the K equivalent that we can obtain the spectral analysis tool we have developed and as an example we saw the Adams scheme which shows the...
As a part of higher order elements for one-dimensional boundary value problems in the last class, we have seen how to derive shape functions for 3 node element, and also, we have seen this derivation...

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In the earlier lectures, we have seen formulation for 3 node linear triangular element. In the next two lectures, we will be looking at formulation for higher order triangular elements. A relatively...

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Now, let us look at the finite volume method in the more general context, where we take the conservation equation in the fullest form, and then try to convert it into, write it down in a conservation...

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Lecture 36, and we continue our discussion on properties of filters with the help of 1D convection equation. We pick up a basically unstable Euler-CD 2 scheme and we design a transfer function in such...

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In today's lecture, we begin by describing the trapezoidal method for step differential equation. This has been used for both linear as well as non-linear equation, while this is...

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We are at the lecture 12; what we had discussed till now was how to do the element calculations in the master element. We had transformed our equations from the physical domain to the master domain...

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