ABSTRACT This final project discusses the stability of the predator-prey model using the Holling-II for infected prey. The equilibrium point of the model is determined and the stability analysis is seen from the eigenvalues of the system linearity matrix. At the the end of the discussion, we look at the behavior of the model for the equilibrium point generated with infected prey, which sho…
ABSTRACT This final project discusses the modification of Chebyshev-Halley method by using approximation of first derivative with interpolation to solve nonlinear equations. Analytically by using Taylor expansion and geometric series the proposed method proven have five order of convergence. The proposed method is derivative free with efficiency index 1.495. Numerical computations of seve…
ABSTRACT This final project discusses the Newton-Jarratt’s method to solve nonlinear equations. Analytically by using Taylor expansion and geometric series the proposed Newton-Jarratt’s method have an fifth order of convergence with efficiency index 1.495. Numerical computations of several examples with some other discussed methods show that the proposed method in general has the small…
ABSTRACT This final project aims to optimize the assignment of unbalanced workloads with multiple job assignments using the Dhouib-Matrix-AP2 method. Unbalanced assignment issues often occur in various fields, leading to workload imbalances and decreased productivity. The Dhouib-Matrix-AP2 method combines the Dhouib matrix and the AP2 linear programming algorithm to find optimal solutions…