Numerical Analysis/stability of RK methods/Exercises

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Exercises[edit]

Ex:1[edit]

find the stability function for RK2 which is given by:

Ex:2[edit]

find the absolute stability region for RK2.

Ex:3[edit]

find the characteristic polynomial for RK2.

Ex:4[edit]

is RK2 stable, if it is what type of stability.

Ex:5[edit]

determine the stabilityfo Back Ward Euler method which is given by: