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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/5205| Title: | An Implicit Runge-Kutta Type Method for the Solution of Initial Value Problems |
| Authors: | Muhammad, Raihanatu Yahaya, Yusuph Amuda Abdulkareem, Ambali Saka |
| Keywords: | Implicit Runge-kutta Type Initial value problems Block Backward Differentiation Formula (BDF) |
| Issue Date: | 2020 |
| Publisher: | Department of Mathematical Sciences, Kaduna State University. |
| Citation: | R. Muhammad, Y. A. Yahaya, A. S. Abdulkareem (2020) “An Implicit Runge-Kutta Type Method for the Solution of Initial Value Problems”, KASU JOURNAL OF MATHEMATICAL SCIENCES (KJMS) VOL. 1, ISSUE 1, JUNE 2020 : 1-10 |
| Abstract: | In this research paper, an implicit block hybrid Backward Differentiation Formula (BDF) for 𝑘=2 is reformulated into a Runge-Kutta Type Method (RKTM) of the same step number. The method can be used to solve both first and second order (special or general form) initial value problem in Ordinary Differential Equation (ODE). This method differs from conventional BDF as derivation is done only once. It can also be extended to solve higher order ODE. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/5205 |
| ISSN: | 2734-3839 2735-962X |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| R. MUHD KJMS (2020-1(1)-28-37).pdf | Main Article:http:/www.journal.kasu.edu.ng/index.php/kjms | 643.38 kB | Adobe PDF | View/Open |
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