Do these sentences correct? For simplifying we use these two terms.
7p=7point direct method
8p=8-point direct method
“Next the performances gained by 7p as illustrated in the previous chapter with the method introduced in this chapter were discussed and it will focus on Problems 2.3-2.8. It is seen that the total number of steps taken by 8p is reduced compared to 7p. This result is expected since 8p computed eight solutions simultaneously and generally will have larger step size then lesser total step. For all tested problems showed that the accuracy of the 8p is better than 7p especially as the tolerance gets smaller. This might be happened because the order of 8p is higher than 7p and generally the higher order method will produce more accurate numerical result. Naturally, the function evaluations compute by 8p is higher than 7p since it computes eight functions per iteration and so the pattern seen except at Table 58 and Tables 60. Hence, we can say that the greatly reduction of the total number of step taken will greatly affect the number of function to be evaluated. The execution time taken by 7p is cheaper compared to 8p. It is obviously when the tolerance becomes finer. Therefore, it can be said that the cost of evaluating every function will greatly affect the execution time.”
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Top answer
8. It ( not sure sure what you mean by "it" ) is seen that the total number of steps taken by 8p is reduced compared to 7p. This result is expected since 8p computed eight solutions simultaneously and generally will have a larger step size th a n a smaller total step.
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“Next the performances gained by 7p as illustrated in the previous chapter with the method introduced in this chapter were discussed and it will focus on Problems 2.3-2.8. It (not sure sure what you mean by "it") is seen that the total number of steps taken by 8p is reduced compared to 7p. This result is expected since 8p computed eight solutions simultaneously and generally will hav
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“Next the performances gained by 7p as illustrated in the previous chapter with the method introduced in this chapter were discussed and it will focus on Problems 2.3-2.8. It (not sure sure what you mean by "it") is seen that the total number of steps taken by 8p is reduced compared to 7p. This result is expected since 8p com