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Myvi Posted 15 years ago
Grammar
Need help..
These sentences are some kind of my literature review and can someone do some correction if there exist any grammatical error. Thanks in advance..
1. The application of the differential transformation technique to approximate the solution of higher-order BVPs was introduced in A (2004).
2. B and C (2006) introduced a direct integration implicit variable steps method for solving higher-order systems of ODEs directly. The researchers presented the method in the simple form of Adams Moulton Method and by referring the results obtained, they have shown that the method is suitable for solving second-order ODEs directly using variable step-size.
3. D and E (2005) have considered a class of hybrid collocation methods for solving third-order BVPs of ODEs with direct approximation approach. In a recent work, F (2009) has proposed self-starting block linear multistep method for solving special third-order ODEs using collocation approach.
4. G (2005) developed multiderivative collocation method for solving general fourth-order BVPs of ODEs and the developed method could be applied without recasting the problem as a first-order system.
5. The researchers have proposed numerical algorithm based on multiderivative collocation approach and the grid points to be collocated are selected in order to reduce the number of functions evaluation per iteration. The numerical results obtained show the new method is efficient to solve linear and nonlinear fifth-order ODEs.
1. The application of the differential transformation technique to approximate the solution of higher-order BVPs was introduced in A (2004).
2. B and C (2006) introduced a direct integration implicit variable steps method for solving higher-order systems of ODEs directly. The researchers presented the method in the simple form of Adams Moulton Method and by referring the results obtained, they have shown that the method is suitable for solving second-order ODEs directly using variable step-size.
3. D and E (2005) have considered a class of hybrid collocation methods for solving third-order BVPs of ODEs with direct approximation approach. In a recent work, F (2009) has proposed self-starting block linear multistep method for solving special third-order ODEs using collocation approach.
4. G (2005) developed multiderivative collocation method for solving general fourth-order BVPs of ODEs and the developed method could be applied without recasting the problem as a first-order system.
5. The researchers have proposed numerical algorithm based on multiderivative collocation approach and the grid points to be collocated are selected in order to reduce the number of functions evaluation per iteration. The numerical results obtained show the new method is efficient to solve linear and nonlinear fifth-order ODEs.
Top answer
1. The application of the differential transformation technique to approximate the solution of higher-order BVPs was introduced in A (2004). 2.
- 1.
- The application of the differential transformation technique to approximate the solution of higher-order BVPs was introduced in A (2004).
- 2.
- B and C (2006) introduced a direct integration implicit variable-step method for solving higher-order systems of ODEs directly.
- The researchers presented the method in the simple form of the Adam s- Moulton method, and the results obtained have shown that the method is suitable for solving second-order ODEs directly using variable step-size.
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1 Answers
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1. The application of the differential transformation technique to approximate the solution of higher-order BVPs was introduced in A (2004).
2. B and C (2006) introduced a direct integration implicit variable-step method for solving higher-order systems of ODEs directly. The researchers presented the method in the simple form of the Adams-Moulton method, an
2. B and C (2006) introduced a direct integration implicit variable-step method for solving higher-order systems of ODEs directly. The researchers presented the method in the simple form of the Adams-Moulton method, an
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