Stable Scheme

[mona123]

The scheme of the form $$\alpha v_{m+1}^{n+1}+\beta v_{m-1}^{n+1}=v_m^n$$ are they stable if $||\alpha|-|\beta||\ge 1$?


Thank you.

 

[pka]

The scheme of the form \(\displaystyle \alpha v_{m+1}^{n+1}+\beta v_{m-1}^{n+1}=v_m^n\text{ are they stable if }||\alpha|-|\beta||\ge 1~?\)

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