Please check..

Any help, no matter how little, would be greatly appreciated..thanks a lot..
1. This section will elaborate the stability region of G method and the strategies applied are identical as previously introduced in Chapter 5. By applying test equation (3.2) in the corrector formulae and arrange them in a matrix form yields...(formulae in matrix form)
2. The equations (4.4)-(4.7) will be written in the form of A+B+C
where...(equation)
3. Given below the stability polynomial obtained after solving [A+B+C] with
A=a+b+c.
4. The stability region obtained corresponding to these stability polynomials
(5.1)-(5.4) are illustrated in Figure 5, 6 and 7.
5. Once again, test equation (3.2) is applied into the devised corrector
formulae of G method. The corresponding corrector formulae obtained
written in matrix form shown below...(equation)

6. The equations (5.5)-(5.8) will be performed as A+B+C+D+E+F and the
matrices A, B, C, D, E and F are defined as follows: ...(equation)
7. Therefore, the stability polynomials below are constructed by solving
[A+B+C].
8. As we can see in Figures 8-12 show the region of absolute stability for first order G method meanwhile the absolute stability region for second order G method are illustrated in Figures 12-14 with the corresponding step-size. The stability region arising from this method is inside the boundary of the dotted lines and analyzed that the pattern obtained is similar as F method which is the stability region grows as the step size becomes smaller.