An explicit second order uniformly convergent difference algorithm for an initial value problem associated to second order differential equations
| Autor: | Pandey Pramod Kumar, Manchanda Ishver Rani, Yadav Archana |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 58, Iss 1, Pp 126-136 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1841-3307 40941728 |
| DOI: | 10.2478/awutm-2022-0010 |
| Popis: | We consider the development of the direct method for the numerical solution of second order differential equations and corresponding initial value problems. Our technique based on the method of finite difference approximations. We obtain a quadratic order accurate an explicit method using the set of initial conditions in a natural way and approximations for the approximate numerical solution after the discretization of the continuous problem under appropriate conditions. We discuss the development of the method and the periodic property of the solution of the problem. In the numerical experiment, we consider both linear and nonlinear model problems to test the efficiency and accuracy of the method. The tabulated numerical results in computational experiments approve the quadratic order accuracy and efficiency of the method. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|