Residual Method for Nonlinear System of Initial Value Problems

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-8-4_008

تاریخ نمایه سازی: 15 بهمن 1401

Abstract:

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-۱ infection problem numerically

Keywords:

Nonlinear initial value systems , Bernstein polynomials , Residual method , Lorenz system , primary HIV-۱ infection problem

Authors

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Department of Mathematics, Faculty of Sciences, Dokuz Eylul University, Tinaztepe, Buca, ۳۵۱۶۰ Izmir, Turkey.

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Department of Mathematics, Faculty of Sciences, Dokuz Eylul University, Tinaztepe, Buca, ۳۵۱۶۰ Izmir, Turkey.