ระเบียบวิธีการวนซ้ำลำดับที่สิบสองแบบใหม่สำหรับการแก้สมการไม่เชิงเส้น

Abstract

The aims of this paper are to present new twelfth order iterative methods for solving nonlinear equations and one of them is second derivative free which has been removed using the interpolation technique. Analysis of convergence finalized that the order of convergence is twelfth. Some numerical examples illustrate that the algorithm is more efficient and performs better than other methods with the same order. In the end, we present the basins of attraction using some complex polynomials of different degrees to observe the fractal behavior and dynamical aspects of the proposed algorithms.