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Residual Method for Nonlinear System of Initial Value Problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 8، شماره 4، بهمن 2020، صفحه 733-744 اصل مقاله (5.32 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.32830.1527 | ||
| نویسندگان | ||
| Meltem Adiyaman* ؛ Burcu Noyan | ||
| Department of Mathematics, Faculty of Sciences, Dokuz Eylul University, Tinaztepe, Buca, 35160 Izmir, Turkey. | ||
| چکیده | ||
| In this paper, the nonlinear system of initial value problems are solved numerically by using Residual method which is based on the minimizing residual function by the Taylor’s series expansion. The convergence analysis of the method is given. The significant feature of the method is reduction of nonlinear system of initial value problems to the system of linear equations. To emphasize the accuracy and potential of the method, we solve Lorenz system and primary HIV-1 infection problem numerically | ||
| کلیدواژهها | ||
| Nonlinear initial value systems؛ Bernstein polynomials؛ Residual method؛ Lorenz system؛ primary HIV-1 infection problem | ||
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