New modified regula falsi method for nonlinear equations

This paper employs two new iterative methods accelerating convergence after using the classical regula falsi methods, such that both the sequence of diameters {(bn-an)}n=1∞ and the sequence of iteration {(xn-x∗)}n=1∞ produced by the new methods quadratically converge to zero. The numerical experiments show that new methods are effective and comparable to some well-known methods.