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December 23, 2014, 02:56 |
Understanding the mathematical nature of PDE
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#1 |
New Member
West Bengal
Join Date: Dec 2014
Location: Kharagpur
Posts: 4
Rep Power: 11 |
Hello everyone,
I am fledgling in the domain. I wanted to learn how to identify the mathematical nature of PDE, whether they are hyperbolic/parabolic/elliptic in space and time. I was taught how to make such categorization for a PDE in 2 independent space variables, but how do we go about it when a time derivative is present? And how does understanding the nature of equation and finding characterisitics further help in our errand of solving the equation numerically? I have read some books about it, but I was not able to understand the physical meaning or visualize how exactly the conclusions were drawn Any help would be appreciated. Regards,
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Sachin Shivakumar B.Tech in Mechanical Engineering IIT Kharagpur |
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Tags |
characteristics, elliptic, hyperbolic, mathematical analysis, parabolic |
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