CD Skripsi
Metode Iterasi Dengan Teknik Perturbasi Homotopi Orde Enam Dan Tujuh Untuk Persamaan Nonlinear
This final project discusses three forms of iteration methods developed using the homotopy perturbation technique to solve nonlinear equations. The derivation of this method utilizes the Newton method approach, which is then improved by the homotopy perturbation technique so that a power series solution is obta- ined which forms three new iteration methods. Convergence analysis based on Taylor expansion and geometric series shows that the three iteration methods obtained have convergence orders of three, six, and seven, respectively. Nu- merical computation results show that this new method can be an alternative method for solving nonlinear equations.
Keywords: Nonlinear equation, Newton’s method, Homotopy perturbation technique, order of convergence
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