Using the trial function uh (x) = a sin(x) and weighting function wh (x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. - 2 = 0 (U₁xx) u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) -2=0 'U₁xx' u(0) = 1 u(1) = 0

Using the trial function uh (x) = a sin(x) and weighting function wh (x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. - 2 = 0 (U₁xx) u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) -2=0 'U₁xx' u(0) = 1 u(1) = 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

the expert is done on the object consits of ( cart+block) ... look at this Graph and answer these two questions : 1) find the value of the spring constant from Graph ? 2) Determine the compression of the spring from the change in position of the cart+block in Graph ?
Only part d. please show all work.
I was wondering if anyone can help me understand the question and answer.
I need help with this please.
i need the answer quickly
mechanical vibrations
8.) Helppp
I wanted to know how to create plots like these in MATLAB. I belive they were called herpolhode plots.
DIna Sami h.w1: solve the following differential equation numerically using Runge-Kutta Method (4th order). Find y (0.5) when y = 2 x + y, y (0) = 1. Take h = 0.5 boiker 00
In your biomechanical testing lab, you perform a series of compression tests to determine the relationship between apparent bone density (p, units of g/cm³) and ultimate stress (ơult, units of MPa). Using the set of experimental measurements below, write an m-file to fit a power relationship of the form O uli = Ap to the data. Use the log transform method to linearize the system and data, followed by linear regression. Plot the data points and the power relationship on a single plot. Be sure to label your axes and provide a legend. Provide a printout of your m-file and a printout of the command window showing your results. Write down the best fit equation and box it. 8.76 5.25 4.26 5.51 3.88 18.45 2.09 13.72 5.42 2.17 Oult (MPa) p (g/cm³) 0.598 | 0.459 0.319 | 0.235 0.141 0.754 0.177 0.553 0.394 0.246
Insulated Ax h, T» 1 2 3 4 5
The velocity, v, of a falling parachutist is given by v= (1-em), 8. -(c/m)t C where g = 9.8067 m/s². Given the mass, m of the parachutist is 70kg, velocity, v = 40 m/s at time t = 10 s, find the drag coefficient, c by using the Bisection method.