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Method of Lines (MOL) for solving Partial Differential Equation(s) (PDEs); needs

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OptimalDesigns:
My website, goal-driven.net, shows how to solve most (continuous) math problems, but needs some MOL examples showing equation necessary to solve a given PDE; e.g. Schrodinger, Maxwell, telegraph, wave, etc.  You provide
1. MOL & PDE equations;
2 a description of where you/they are used in industry(s); and,
3. Your Title & Name & email address (?), e.g. President: Tom Jones, [email protected]
#2 & 3 will be placed as 'Ads' on my website to bring you some business :)

Think marketing/sales when stating a description.  Here is an example PDE.  I'm seeking 5 examples, the best 5 win!

In return, I'll publish #2 & 3 on my website AND provide you with a copy of my (free) Calculus (Level) Compiler that can solve PDEs using MOL.

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