Current Issue : April - June Volume : 2016 Issue Number : 2 Articles : 7 Articles
In this paper, we developed a new continuous block method by the method of interpolation and\ncollocation to derive new scheme. We adopted the use of power series as a basis function for approximate\nsolution. We evaluated at off grid points to get a continuous hybrid multistep method.\nThe continuous hybrid multistep method is solved for the independent solution to yield a continuous\nblock method which is evaluated at selected points to yield a discrete block method. The\nbasic properties of the block method were investigated and found to be consistent, zero stable and\nconvergent. The results were found to compete favorably with the existing methods in terms of\naccuracy and error bound. In particular, the scheme was found to have a large region of absolute\nstability. The new method was tested on real life problem namely: Dynamic model....
Fertilizers are essential to modern agriculture; their overuse can have harmful effects on plants,\ncrops and soil quality. Thus, the study seeks to investigate, if (actually) the trio of Nitrogen, Phosphorus\nand Potassium (NPK) contribute to the growth and yield of yellow maize, and to determine at\nwhat proportion each of the elements is to be applied for optimum yield. Our findings revealed that\nNitrogen and Phosphoric fertilizer contributed significantly to the yield of yellow maize while there\nwas no significant effect of Potassium Further analysis on the mean separation of Nitrogen and\nPhosphorus using Duncanââ?¬â?¢s Multiple Range Testââ?¬â?(DMRT) showed Nitrogen at 50 kg/ha as significantly\nhigher than the other levels. For phosphorus, its effect at 20 kg/ha was significantly higher\nthan the other levels. Thus, the derived quadratic model: Y N P N2 P2 ....
This article examines a fifth order critically damped nonlinearsystem in the case of small equal eigenvalues\nand tries to find out an asymptotic solution. This paper suggests that the solutions obtained\nby the perturbation techniques based on modified Krylov-Bogoliubov-Mitropoloskii (KBM) method is\nconsistent with the numerical solutions obtained by the fourth order Runge-Kutta method....
In this paper, we present a new approach (Kalman Filter Smoothing) to estimate and forecast survival\nof Diabetic and Non Diabetic Coronary Artery Bypass Graft Surgery (CABG) patients. Survival proportions\nof the patients are obtained from a lifetime representing parametric model (Weibull distribution\nwith Kalman Filter approach). Moreover, an approach of complete population (CP) from its\nincomplete population (IP) of the patients with 12 years observations/follow-up is used for their\nsurvival analysis [1]. The survival proportions of the CP obtained from Kaplan Meier method are\nused as observed values t y at time t (input) for Kalman Filter Smoothing process to update time\nvarying parameters. In case of CP, the term representing censored observations may be dropped\nfrom likelihood function of the distribution. Maximum likelihood method, in-conjunction with Davidon-\nFletcher-Powell (DFP) optimization method [2] and Cubic Interpolation method is used in estimation\nof the survivor�s proportions. The estimated and forecasted survival proportions of CP of the\nDiabetic and Non Diabetic CABG patients from the Kalman Filter Smoothing approach are presented\nin terms of statistics, survival curves, discussion and conclusion....
Elliptic curves have a wide variety of applications in computational number theory such as elliptic curve cryptography, pairing\nbased cryptography, primality tests, and integer factorization. Mishra and Gupta (2008) have found an interesting property of the\nsets of elliptic curves in simplified Weierstrass form (or short Weierstrass form) over prime fields. The property is that one can\ninduce metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of characteristic greater than three.\nLater, Vetro (2011) has found some other metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of\ncharacteristic greater than three. However, to our knowledge, no analogous result is known in the characteristic two case. In this\npaper, we will prove that one can induce metrics on the sets of non supersingular elliptic curves in simplified Weierstrass form over\nfinite fields of characteristic two....
This paper focuses on the analysis of execution traces for real-time systems. Kernel tracing can provide useful information, without\nhaving to instrument the applications studied. However, the generated traces are often very large.The challenge is to retrieve only\nrelevant data in order to find quickly complex or erratic real-time problems. We propose a new approach to help finding those\nproblems. First, we provide a way to define the execution model of real-time tasks with the optional suggestions of a pattern\ndiscovery algorithm. Then, we show the resulting real-time jobs in a Comparison View, to highlight those that are problematic.\nOnce some jobs that present irregularities are selected, different analyses are executed on the corresponding trace segments instead\nof the whole trace.This allows saving huge amount of time and execute more complex analyses.Our main contribution is to combine\nthe critical path analysis with the scheduling information to detect scheduling problems. The efficiency of the proposed method is\ndemonstrated with two test cases, where problems that were difficult to identify were found in a few minutes....
The exp(âË?â??Ãâ?¢ Ã?¾( )) method is employed to find the exact traveling wave solutions involving parameters\nfor nonlinear evolution equations. When these parameters are taken to be special values,\nthe solitary wave solutions are derived from the exact traveling wave solutions. It is shown that\nthe exp(âË?â??Ãâ?¢ Ã?¾( )) method provides an effective and a more powerful mathematical tool for solving\nnonlinear evolution equations in mathematical physics. Comparison between our results and the\nwell-known results will be presented....
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