This final project discusses a new secant-like method, derived by combining two secant methods, to solve nonlinear equations. This method has order of convergence 2:618 and requires two initial guesses to be applied. Furthermore, the computational results show that the proposed method is superior compared to secant’s method and Newton’s method in obtaining an approximation root. Keywor…
This study aims to analyze (1) Value-based leadership directly affect positively and significantly to the work culture (2) Value-based leadership directly affect positively and significantly to job satisfaction of teachers (3) Working culture directly affect positively and significantly to job satisfaction of teachers (4) value-based leadership and work culture positive and significant direct e…
This final project discusses the estimator for parameter of exponential distribution using Bayesian statistics. Prior distribution used is the extension of Jeffrey’s prior. Bayes estimators are obtained by quadratic loss function and entropy loss function. Bayes estimators under quadratic loss function and entropy loss function are biased estimators. Mean squared errors of Bayes estimato…
This final project discueses the determination of pricing Asian call option by applying variance reduction techniques in Monte Carlo methods. Monte Carlo method is method to approximates the expectation of random variables. Control variates techniques can increase the efficiency of Monte Carlo method in term of variance. One variance reduction techniques include control variates. Implement…
This final project discusses the present value of future benefit and the due life anuity under uniform assumption for the case of multiple decrements using Rendleman–Bartter interest rate model. Interest rate models of Rendleman– Bartter have parameters and to be estimated, where the parameter in the model is estimated using MLE (maximum likelihood estimation) and then followed by …
This final project presents the use of a weight function to derive a new family of eight-order method for finding a simple root of nonlinear equations. Per iteration the method requires three function evaluations and one first derivative function evaluation so that the efficiency index of the method is 1.682. Numerical comparisons using some test functions indicate that the method can be u…
Ink markers are tools that often used for writing on the whiteboard. It's different from chalk, ink markers have high levels of VOC (Volatile Organic Compound) and very harmful to health due to the xylene content in it. One of the chemical constituents in mangosteen peel is tannin. Tannins that contained in mangosteen peel can be processed back into the basic ingredients of ink marker that safe…
The final project discusses the quadratic spline rule to solve quadrature problems. A given function f(x) is interpolated by the interpolation quadratic spline then it is integrated. Computational examples show that the solutions of the quadratic spline rule are better than the comparation rule to approach the exact solution. Keywords: Quadrature, trapezoidal rule, quadratic spline rule
This final project studies Weibull distribution model in survival analysis based on type-II right censored data. Data of the length of time until the occurrence of an event observation are called survival data and statistical procedures for analysis of such data is called survival analysis. The purpose of this study is to obtain the estimate of the parameters implemented in determining the …
This final project discusses iterative methods formed by combining Newton’s method and an iterative method with a correction function that depends on the value of the function and values of the two derivative functions. Ana- lytically it is demonstrated that the proposed method is of order five. Numerical computation shows that the method is comparable with the existing methods in the sa…
Increased plastic waste has a negative impact on the environment if not further processed, Because plastic waste is nonbiodegradable One method that can be used to process plastic waste is pyrolysis method.The purpose of this study was to observe the effect of process variables (temperature and ratio of PP plastic: PS) to yield and characterization of pyrolysed oil produced. the pyrolysis proce…
This final project discusses the evaluation of value-at-risk for claim severity having a Rayleigh distribution. Value-at-risk is the estimation of maximum loss which can occur with -level of confidence over a certain period of time. The losses caused by the large value of the claims can be overcome by a transformation called the proportional hazard transform. From this tranformation a new…
The green open space is one of an effort in order to handling of the increasing the greenhouse gas emission, because green open space has an ability to absorbing the CO2 emission. The purpose of this research is to find out the potential of absorption capacity of CO2 by the pbulic’s green open space and to analyze the level of absoption of CO2 by green open space from transportation activity.…
This final project discusses the predictor-corrector method based on quadrature rules for solving a nonlinear equation. The special cases of the discussed methods are Midpoint Newton quadrature method and Trapezoid Newton quadrature method. These methods have respectively two and three function evaluations per iteration. Convergence analysis shows that both iterative methods have the order…
PT. Perkebunan Nusantara V in its operational activities has the potential to generate noise coming from palm oil production machines. Workers who are constantly exposed to noise have the potential to affect workers' health and comfort. The purpose of this research is to know the intensity of noise generated by oil palm production machine, exposure time, map of noise distribution pattern, and n…
This nal project discusses the high order iterative method based on a quadrature rule for determining a simple root of nonlinear equations. The order of the method depends on the number of quadrature nodes used. If the number of quadrature nodes used is one, we obtains Newton method of the order two, If the number of quadrature nodes used is two, we obtain Newton-Trapezoid methods with th…
Biocoagulant is a natural coagulant that has an active substance and has a role as cationic which is able to bind colloidal particles in water. Chitosan is a non-toxic, easy-to-degrade and polyelectrolyte biocogulant that can be found in crustacean animals especially in crabs (Brachyura). The availability of crab shell waste has a huge potential to be used as raw material for making chitosan. H…
This final project discusses a general algorithm used for determining the nu- merical approximations to derivatives of any order. The algorithm is based on linear combinations of Taylor series for nonequispaced nodes. The algorithm also gives truncation and round-off errors for the numerical approximations. Keywords: System of linear equations, matriks, Taylor series, numerical app- roxima…
Produced water has a complex composition and more than 40% is discharged into the environment. Constructed wetlands is one of the water produced treatment systems that use vegetation, media, and microorganisms for pollutants removal. The objectives of this research were to determine the efficiency of pollutants parameter removal and to assess the effect of residence time of COD, NH3 and TDS. Su…
The population of Pekanbaru City grows increasingly every year, especially in Bukit Raya Sub-district. The higher number of motorcycle used by the people as a transportation directly affect the amount of CO2 emissions generated from each vehicles. This study aims to calculate the volume of vehicles and predict CO2 emissions from the number of vehicles in Bukit Raya District. The methodology use…