Residual Method for Nonlinear System of Initial Value Problems
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Dokuz Eylul University, Tinaztepe, Buca, 35160 Izmir, Turkey.
2 Department of Mathematics, Faculty of Sciences, Dokuz Eylul University, Tinaztepe, Buca, 35160 Izmir, Turkey.
doi
10.22034/cmde.2020.32830.1527چکیده
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
