Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs
نویسندگان
چکیده
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 from 4 to 2 6 , (5 17) / 2 ,5 and (5 33) / 2 , 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. Keywords-Nonlinear equation; Newton's method; Steffensen-type method; Derivative free; Super convergence
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