Abstract
In this research work, numerical time perturbation methods are applied on nonlinear ODE. Solutions are sought in the form of power series using time as the perturbation parameter. This time integration approach with continuation procedures allows to obtain analytical continuous approximated solutions. Asymptotic Numerical Method and new resummations techniques of divergent series namely Borel–Pade–Laplace and Inverse Factorial series are studied. A comparison with classic integration scheme is presented in order to evaluate the robustness and the effectiveness of these algorithms. Full details are given regarding first- and second-order derivative of resummation techniques.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
