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
Adiyaman, M., & Noyan, B. (2020). Residual Method for Nonlinear System of Initial Value Problems. Computational Methods for Differential Equations, 8(4), 733-744. doi: 10.22034/cmde.2020.32830.1527
MLA
Meltem Adiyaman; Burcu Noyan. "Residual Method for Nonlinear System of Initial Value Problems". Computational Methods for Differential Equations, 8, 4, 2020, 733-744. doi: 10.22034/cmde.2020.32830.1527
HARVARD
Adiyaman, M., Noyan, B. (2020). 'Residual Method for Nonlinear System of Initial Value Problems', Computational Methods for Differential Equations, 8(4), pp. 733-744. doi: 10.22034/cmde.2020.32830.1527
VANCOUVER
Adiyaman, M., Noyan, B. Residual Method for Nonlinear System of Initial Value Problems. Computational Methods for Differential Equations, 2020; 8(4): 733-744. doi: 10.22034/cmde.2020.32830.1527
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