A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations
| dc.creator | Oghonyon, G.J., Okunuga, S. A., Bishop, S.A. | |
| dc.date | 2017-03-15 | |
| dc.date.accessioned | 2025-03-29T19:32:36Z | |
| dc.description | A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations Background and Objective: Over the years, block predictor-corrector method has been limited to predicting and correcting methods without further use. Predictor-corrector method possesses other attributes that utilize the Principal Local Truncation Error (PLTE) to design a suitable step size, tolerance level and control error. This study examined a variable step-size block predictor-corrector method for solving first-order Ordinary Differential Equations (ODEs). Materials and Methods: The combination of Newton’s backward difference interpolation polynomial and numerical integration methods were applied and evaluated at some selected grid points to formulate the block predictor-corrector method. Nevertheless, this process advances to generate the PLTE of the block predictor-corrector method after establishing the order of the method. Results: The numerical results were shown to demonstrate the performance of the variable step-size block predictor-corrector method in solving first-order ODEs. The complete results were incurred with the aid of Mathematica 9 kernel for Microsoft windows (64bit). Conclusion: Numerical results showed that the variable-step-size block predictor-corrector method is more effective and perform better than existing methods in terms of the maximum errors at all tested tolerance levels as well as designing a suitable step size to control error. | |
| dc.format | other | |
| dc.identifier | http://eprints.covenantuniversity.edu.ng/8330/ | |
| dc.identifier.uri | https://repository.covenantuniversity.edu.ng/handle/123456789/37782 | |
| dc.language | en | |
| dc.publisher | Science Alert | |
| dc.subject | QA Mathematics | |
| dc.title | A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations | |
| dc.type | Article |