Multistep Newton–Picard Method for Nonlinear Differential Equations

What is it about?

We proposed a new multistep Newton-Picard method for nonlinear differential equations. We applied the multistep Newton-Picard method to solve problems of 3D orbits with three scenarios (a low Earth orbit, a high eccentric orbit, and a geosynchronous Earth orbit). Numerical results showed that the proposed method cost less computational time compared to the latest iterative algorithms.

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