Forward time and backward space finite difference

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1. Assume a wide rectangular of 1000 m long. initial distribution of an arbitary concentration is given as below :

1406_Untitled.jpg

Consider a pure advection problem find out the concentration profile after 10 minutes, Assume u = 1 m/sec.

Solve the problem using the following different methods :

A) Forward time and backward space finite difference

b) Box finite different method

c) MacCormack scheme 

Compare result of different methods and discuss the merits and demerits of individual methods.

Reference no: EM131091435

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