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Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs

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DOI: 10.4236/ojapps.2012.24B017    1,349 Downloads   2,616 Views  

ABSTRACT

In this paper, seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations, their orders of convergence are proved to be increased, numerical examples are demonstrat-ed demonstrated to verify the theoretical results, and applications for solving systems of nonlinear equations and BVPs of nonlinear ODEs are illustrated.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Zheng, Q. , Guo, X. and Huang, F. (2012) Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs. Open Journal of Applied Sciences, 2, 70-73. doi: 10.4236/ojapps.2012.24B017.

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