M mona123 New member Joined Jan 20, 2015 Messages 36 Jan 28, 2019 #1 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.

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 Elite Member Joined Jan 29, 2005 Messages 7,820 Jan 28, 2019 #2 mona123 said: The scheme of the form \(\displaystyle \alpha v_{m+1}^{n+1}+\beta v_{m-1}^{n+1}=v_m^n\text{ are they stable if }||\alpha|-|\beta||\ge 1~?\) Click to expand... ......

mona123 said: The scheme of the form \(\displaystyle \alpha v_{m+1}^{n+1}+\beta v_{m-1}^{n+1}=v_m^n\text{ are they stable if }||\alpha|-|\beta||\ge 1~?\) Click to expand... ......