Journal of Mathematics and Statistics | |
Block Methods based on Newton Interpolations for Solving Special Second Order Ordinary Differential Equations Directly| Science Publications | |
Fudziah Ismail1  Yap L. Ken1  Suriah M. Amin1  Mohamed Suleiman1  | |
关键词: Initial value problems; special second order ordinary differential equations; block method; | |
DOI : 10.3844/jmssp.2008.174.180 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Science Publications | |
【 摘 要 】
This study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Gregory backward interpolation formula. The performance of the new methods was compared with the conventional 1-point method using a standard set of test problems. Numerical results were presented to illustrate the effectiveness of the methods in terms of total number of steps taken, maximum error and execution time. The results suggested a significant improvement in efficiency of the r-point block method. AMS Subject Classification: 65L05.
【 授权许可】
Unknown
【 预 览 】
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RO201912010160360ZK.pdf | 99KB | download |