Hafizudin Mohamad Nor
Universiti Sains Malaysia, School of Mathematical Sciences, Graduate Student
Research Interests:
Numerical solution of divergence problem using Newton Homotopy Continuation Method
view convergence and divergence of classical methods.
Homotopy continuation methods (HCM) can be used to find the zeros of nonlinear equations. An advantage of HCM is that this method is able resolve divergence problems which might be faced by classical methods. In this paper, we utilize... more
Homotopy continuation methods (HCM) can be used to find the zeros of nonlinear equations. An advantage of
HCM is that this method is able resolve divergence problems which might be faced by classical methods. In this paper,
we utilize Ostrowski-HCM (OHCM) with quadratic Bezier homotopy function (QBHF) and linear fixed-point (LFP)
function in order to improve the accuracy of solutions. We compare the performance of our proposed method with
Newton’s method (NM) and Ostrowski’s method (OM). The results obtained indicate that Ostrowski-HCM with these
additional functions performs better compared to the Newton’s and Ostrowski’s methods.
HCM is that this method is able resolve divergence problems which might be faced by classical methods. In this paper,
we utilize Ostrowski-HCM (OHCM) with quadratic Bezier homotopy function (QBHF) and linear fixed-point (LFP)
function in order to improve the accuracy of solutions. We compare the performance of our proposed method with
Newton’s method (NM) and Ostrowski’s method (OM). The results obtained indicate that Ostrowski-HCM with these
additional functions performs better compared to the Newton’s and Ostrowski’s methods.