Question: 1. Consider the following numerical method for solving initial value problems of the form u' = f(u) with u(0) = a: 1. Consider the following

1. Consider the following numerical method for solving initial value problems of the form u' = f(u) with u(0) = a:

1. Consider the following numerical method for solving initial value problems of the form if = f (a) with 2(0) = a: w\" = Q\" + t [(U')\" + (U')"'\" + k: [(U\")\" i (U\")\"] , 2 where [U')n :=i[Q\") and (U\")n :2 f'(_\") -i(Q\"). (a) Determine the local truncation error for this method. (b) Determine the region of absolute stability of this method

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