Proving total variation diminishing for a half step scheme

[martizzle]

Hi,

I'm trying to prove a half step scheme is TVD and I'm stuck. I wasn't sure how to type it all here so I typed it up in latex, see attached pdf for the problem. Any tips would be much appreciated.

Thanks.

 

[scanvas]

homework forums are here:
https://www.physicsforums.com/forums/homework-and-coursework-questions.152/

 

[martizzle]

Thanks for the direction. I posted it there.

 

[Mark44]

In future posts, please expand acronyms such as TVD and CFL, which is used in the document you attached. I presume that the latter isn't short for Canadian Football League or Compact Fluorescent Light.