Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

作者:Maayah Banan; Bushnaq Samia; Momani Shaher*; Abu Arqub Omar
来源:Advances in Mathematical Physics, 2014, 2014: 758195.
DOI:10.1155/2014/758195

摘要

A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator's models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of convergence for the series solution. The numerical results demonstrate the validity and the applicability of the new technique. A very good agreement was found between the results obtained using the presented algorithm and the Runge-Kutta method, which shows that the multistep reproducing kernel Hilbert space method is very efficient and convenient for solving nonlinear oscillator's models.

  • 出版日期2014