Answer Happy

5. For a numerical method, the error in numerical approximation changes as a function of the step-size. The order of a numerical method is the power a so that E = Cha, where E is the error in numerical approximation, C is a constant, and h is the step-size. The idea behind this is if we halve the step-size, the error is decreased by a factor of 2º. If this statement holds true, then In(E) = ln(C) + a In(h), which is a straight-line in a log-log plot, and the slope of this line is the value a. Look back to the previous part, where we analyzed this straight-line. What is the order of Euler's method? Round your answer to the nearest integer.