# 代写matlab | homework代写 | report | assignment代写 | 代做lab | math代写 | Numerical analysis – Numerical Integration

### Numerical Integration

ECE 5431 homework #2,

Part (a): Numerical Integration (30 points)

1. Approximate the area under the curve ()= 4 ^2 over 0 << 1 by the trapezoidal rule with a) h=0. b) h=0. Compare your results from above with the exact value.
2. Evaluate the integral
``````^2 ( 2 )

``````
``````
``````
1. Compute 1 0 using Simpsons rule with h=0.^

For each problem provide

1. Typed description of the general integration rule
2. Explanation of the steps as you apply the integration rule.
3. Results

Part (b):Method of Moments (70 points)

In this assignment you are asked to compute the induced current distribution along a wire scatterer. Consider a straight wire of length L= /2 and radius a, such that a << and a << L, where is wavelength. Let a plane wave be the excitation source.

Expand the unknown current using piecewise constant (pulse) basis functions as given in Equation (5.144a) of the Sadiku text.

Use point-matching for testing (weighting functions) as described in Equation (4.46).

You should solve Pocklingtons equation in order to determine the currents along the wire.

Please turn in the following items: (1) A typed report describing your application of the method of moments to Pocklingtons equation, showing the analytical forms of the matrix elements as well as the right-hand-side source terms.

(3) Plots of solved currents along the wire length.

(4) Your program (m-file) with pseudocode.

For the solution of the system of equations it is acceptable to utilize built-in mat lab functions, or equivalent. In other words, you do not have to write code to perform the system of equations solution.