A new method of secant-like for nonlinear equations |
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Authors: | Zhang Hui Li De-Sheng Liu Yu-Zhong |
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Institution: | 1. Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, USA;2. Escuela de Ingeniería, Universidad Internacional de La Rioja, Av. Gran Vía Rey Juan Carlos I, 41 26002 Logroño, La Rioja, Spain |
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Abstract: | In this paper, a new method for solving nonlinear equations f(x) = 0 is presented. In many literatures the derivatives are used, but the new method does not use the derivatives. Like the method of secant, the first derivative is replaced with a finite difference in this new method. The new method converges not only faster than the method of secant but also Newton’s method. The fact that the new method’s convergence order is 2.618 is proved, and numerical results show that the new method is efficient. |
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