Help me..

Anybody please help me to correct my grammar. Thanks a lot. I will greatly appreciate it.

"In this section, we are going to present the numerical results gained after solving these tested problems in section 4.1 using 7-point G method and then compare it performance with the method developed in previous chapter. The performance will be discussed in terms of four parameters namely total number of steps, total functions evaluation, magnitude of approximated error and execution time. The details of the numerical results are given in Tables 13-18.

In most cases, the accuracy of 7-point G method increase or comparable as the tolerance gets smaller except at Tables 14 and 15. For Table 14, the maximum error at tolerance A is slightly increase and same goes to Table 15 which the maximum error is slightly increase at tolerance A and B. Nonetheless, it still managed to gain the desired accuracy within the given tolerance. As expected since the number of steps taken increase when the step size becomes finer, then accordingly increase the number of function evaluations and execution time. It is seen that as evident from Tables 13-18, 7-point G method performs better as tolerance gets smaller.

Now we are going to discuss the performance gained by 6-point G method as illustrated in the previous chapter with the method introduce in this chapter. In most tested problems, the accuracy of the 7-point G method is better than 6-point G method especially as the tolerance gets smaller. The accuracy of these two methods is comparable at tolerance F, E and D in the Tables 13, 14 and 16 respectively. This might be happened because the order of 7-point G method is higher than 6-point G method and generally the higher order method will produce more accurate numerical result.

It is seen that the total number of steps taken by 7-point G method are greatly reduced compared to 6-point G method. This results is expected since 7-point G method computed seven solutions simultaneously and generally will have larger step size then lesser total step.
Naturally, the function evaluations compute by 7-point G method is higher than 6-point G method since it computes seven functions per iteration. Nevertheless, in most tested problems, we see that the function evaluation taken by 7-point G method is better than 6-point G method especially at finer tolerance except at Tables 13, 14, 15 and 16. Hence, we can say that the greatly reduction of the total number of step taken will greatly effect the number of function to be evaluated.

The execution time taken by 7-point G method is cheaper compared to 6-point G method when the tolerance becomes finer. However, at Tables 13, 14 and 15, 6-point G method is outperforms than 7-point G method in terms of execution time even though the total steps taken by 6-point G method are larger than 7-point Gk method. Therefore, we can say that the cost of evaluating every function will greatly affect the execution time."