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A variant of Steffensen’s method of fourth-order convergence and its applications. (English) Zbl 1208.65064
A variant of Steffensen’s method is presented, which uses divided differences instead of derivatives. Fourth-order convergence is proved. Numerical tests are given for nonlinear algebraic and ordinary differential equations.
65H05Single nonlinear equations (numerical methods)
34A34Nonlinear ODE and systems, general
65L20Stability and convergence of numerical methods for ODE
65L12Finite difference methods for ODE (numerical methods)
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