CD Skripsi
Metode Iterasi Berdasarkan Kalkulus Kuantum Untuk Menyelesaikan Persamaan Nonlinear
This final project discusses two new iterative methods based on quantum calcu- lus for solving nonlinear equations. First of all, a nonlinear equation is expressed into the q-Taylor’s formula and then converted into a coupled system. After that the decomposition technique is used to obtain a sequence of high order iterative methods. The convergence analysis shows that the two proposed methods have a third order convergence and a fourth order convergence, respectively. Nume- rical comparisons between the two proposed methods and some other methods using several examples show that the two proposed methods can be used as alternative methods for solving nonlinear equation.
Keywords: q-Taylor’s formula, iterative method, nonlinear equation, order of convergence, quantum calculus
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