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"Similarly, this method had been studied by Richard (2006) for the application in solving first-order BDEs and this approach is to upgrading the code which is applicable for solving first- up to ninth-order BDEs."

Anybody, please check the grammar of this sentence.. Thanks a lot..

Mister Micawber · Accepted Answer

Similarly, this method had been studied by Richard (2006) for application to solving first-order BDEs, and this approach (Which approach? Richard's?) is to upgrade the code applicable to solving first- to ninth-order BDEs.

Myvi · Answer

I meant our approach not Richard’s approach. We want to upgrade the code that proposed by Richard (2006). The code that he proposed just applicable for solving first order BDEs. However we want it applicable for solving first- up to ninth-order BDEs. Thanks a lot sir..

Mister Micawber · Answer

This method was studied by Richard (2006) for application to solving first-order BDEs, and the present approach is to enhance the code and apply it to solving first- to ninth-order BDEs.

Myvi · Answer

This chapter summarises the main findings of this study and draws out the valuable contribution that were made. The aim of this research is to derive the formulae of 6-point, 7-point and 8-point ABC method for the numerical solutions of higher-order DVPs of BDEs with develop a code for each proposed method. This ABC method is implemented with constant step size strategy and in order to avoid time consuming for repetitive evaluating the computation of the numerical integration coefficients, the code will store all the coefficients of the method.

sir, could you please check my conclusion. Thanks a lot..

Mister Micawber · Answer

This chapter summarises the main findings of this study and indicates the significant contributions that have been made. The aim of this research is to derive the formulae of the 6-point, 7-point and 8-point ABC method for the numerical solutions of higher-order DVPs of BDEs and develop a code for each proposed method. This ABC method is implemented with a constant step-size strategy, and in order to avoid time-consuming repetitive evaluations in the computation of the numerical integration coefficients, the code will store all the coefficients of the method.

Myvi · Answer

How about next paragraph sir. Thanks a lot..

The first chapter introduces the fundamental concepts of BDEs with provides some basic/elementary theory of DVPs that must be considered for developing the numerical method. Furthermore, the discussion of the literature review and explanation of the main objective of this research also inside in this chapter.

The algorithm of the ABC method and the detailed of the steps taken in the derivation of the method have been shown in Chapter 2. The stability region of the ABC method grows as the step size reduces and eight test problems that have been tested showed the ABC method required less total number of steps, function evaluations and computational time compared with XYZ method as well as maintain the desired accuracy.

Mister Micawber · Answer

The first chapter introduces the fundamental concepts of BDEs and provides some basic theory of DVPs that must be considered in developing the numerical method. This chapter also contains a review of the literature and a statement of the main objective of this research.

The algorithm of the ABC method and the detailed steps taken in the derivation of the method are shown in Chapter 2. The stability region of the ABC method grows as the step size reduces, and eight test problems demonstrate that the ABC method requires fewer steps and function evaluations, as well as less computational time, than the XYZ method, while maintaining the desired accuracy.

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