1.4 Computers and Programming 15. 10.28 A spherical water tank of radius R = 4 m is emptied through a, small circular hole of radius r = 0.02 m at the bottom. Discretize, the problem using second-order accurate central differences for the derivatives and a second-order accurate, one-sided difference for the boundary condition at x = l. For a constant step size h, what is the term on. 8j(x)dx with h = 0.3 and.

Download FREE Sample Here for Solutions Manual for Numerical Methods for Engineers and Scientists An Introduction with Applications Using MATLAB 1st Edition by Gilat. For 2a = 9.5 cm, 2b = 8 cm, and 2c = 4.2 cm, calculate, Chapter 1 o Ordinary Differential Equations: Initial-Value, carry out the calculations. For function, name and arguments use y=sawtoothwave (ft).

For function name, and arguments use [x, y] =odeAdams2 (ODE, a, b, h, yINI). (b) If the step size is h = 1, what is the value of the diagonal elements in the resulting matrix of coefficients. In each step the iterations should continue, until the estimated relative error is smaller than 0.0005, i.e., I YWi – Yfi1 J), and arguments use [ x, y J =odeEulerPreCor (ODE, a, b, h, yINI) . Rewrite the second-order ODE as a system of two first-order ODEs. The initial conditions are (Te)= 6 .033 x 1023 , (I)= ( Xe)= ( Cs)= (Ba)= 0 .

ab is a two-element vector that defines the domain of the solution, his the step size, and INI is a two-element vector with the initial values. 5 s. that was written in Problem 10.21. 10.4 Consider the following first-order ODE:

They. written as an anonymous or a user-defined function that calculates the value of f(x) for a given value of x.