Advantages Of Predictor Corrector Method

It helps clarify relationsips between variables that cannot be examined by other methods and allows prediction

This technique was implemented in the 1930s by Sakichi Toyoda and became popular in the 70s. It is an adequate tool to use when problems are simple due to its simplicity, flexibility and quickness in identifying and solving the problems. Toyota uses this technique to solve problems even up till today.

by the Trapezoidal rule is Etrap = O(h2 ) and by Simpson’s rule is ESimp = O(h4 ). i) For each of these numerical integration rules, what conditions are required on the integrand f so these error estimates are valid? ii) Suppose that the error using h = 5 × 10−3 is E0 = 1.19 × 10−4 when using either the Trapezoidal rule or Simpson’s rule. For both rules, ˆ estimate the error if an interval width of h = 1 × 10−3 is used. iii) The Matlab command [z, w] = gauleg(N); calculates the N Gauss-Legendre nodes z and weights w for the interval [−1, 1]. Show how z and w can be used to numerically calculate

The programmed algorithm is shown in Figure 6.The program was developed using LabVIEW System design software. The entire experimental set-up is shown in Figure 7.

The processing unit of a single - layer perceptor network can be able to solve the

Moving backward with the time required, One student’s method is something many of you may be well acquainted with. Holly

Lab Report Lesson 1 – Plan Your Experiment Aim: How does changing the mass of liver placed inside hydrogen peroxide affect the amount of oxygen formed? Identify factors, which affect: ______the amount of oxygen formed_______. Hypothesis: If the mass of liver increases when put in to the same amount of Hydrogen Peroxide, then more oxygen will be produced in the same amount of time.

The overall learning algorithm now proceed as follows; first, propagate the input forward using equation 3.3 and equation 3.4; next, propagate the sensitivities back using equation 3.15 and equation 3.12; and lastly, update the weights and offset using equation 3.7, equation 3.8, equation 3.10 and equation 3.11. (Murphy,

Therefore, a theoretical uncertainty value that accommodates both uncertainties of the measurement and the equipment is calculated. The theoretical uncertainty calculation is primarily based on the propagation of error formula. The theoretical uncertainty calculation is as follows.

Using an above following combined function attained which is optimized by using genetic algorithm –

Key equation solver, which determines the error locator polynomial through the BM (Berlekamp-Massey) algorithm as follows:

The second order upwind discretization model was used in this problem. The truncated error due to selected terms in the Taylor series expansion is reduced and a more accurate solution is implied. Fewer grid points are necessary to give the same level of accuracy.

A linear formula idea will be used and the decision variables will be labeled as follow:

Each question is marked out of 25%. The technique and detail parameter was subtracted from the paper directly used as a instruction and reference.

1989). The difference betwe en the two approaches can be viewed in ter ms of