can anyone solve this problem using (Spline Interpolation) for numerical methods class 54 For this problem,...
. Problem 3: For the following data points r 0123 12 10 a) Find the linear interpolation spline. b) Find the quadratic interpolation spline.
. Problem 3: For the following data points r 0123 12 10 a) Find the linear interpolation spline. b) Find the quadratic interpolation spline.
Assuming that the first spline is linear in quadratic spline interpolation, the number of unknowns in the splines for 10 data points is QUESTION 2 The following y vs. x data is given 1 225 3.7 5.1 4.25 68615.1 The data is fit by quadratic spline interpolants given by AX) - 2.85 +1.4x, 1 5X5 2.25 AXX2dx +2.25 SX5 3.7 A x) = fx2gx+, 3.7<*5.1 The value of d most nearly is QUESTION 3 The following y vs. x data...
Problem 5 (programming): Create a MATLAB function named lagrange interp.m to perform interpolation using Lagrange polynomials. Download the template for function lagrange interp.m. The tem Plate is in homework 4 folder utl TritonED·TIue function lakes in the data al nodex.xi and yi, as well as the target x value. The function returns the interpolated value y. Here, xi and yi are vectors while x and y are scalars. You are not required to follow the template; you can create the...
Numerical Analysis.
i) Using Lagrange interpolation, how can I get
q(x)-p(x) ?
ii) Using divided difference table, how can I get
q(x)-p(x) ?
The polmomial plx ズ X 6
The polmomial plx ズ X 6
Please use MATLAB
ME2543 Simulation Methods > Assignment 10: Interpolation and Curve Fitting > Problem 1 O solutions submitted (max: Unlimited) Given the following data: Temperature, T[°C] 100 150 200 250 300 400 500 Energy, u (KJ/kg] 2506.7 2582.8 2658.1 2733.7 2810.4 2967.9 3131.6 • Plot u versus T • What is the interpolated value for u=2680.78 KJ/kg • Test out the spline interpolation and plot the new data generated Script C Reset MATLAB Documentatic 1 % 'interp_u' has to...
interp1, polyfit, polyval, diff, trap, quad 1 INTERPOLATION (2 PTS) You did an experiment and obtained the following data set 90 x 10 20 30 60 70 80 100 60 82 111 140 167 198 200 220 Y 23 45 Create the x and y vectors to represent the above data and use the interpl command to find the interpolation result for the following questions 1. Use linear interpolation to approximate the value of y when x=15 2. Use cubic...
Problem 01 (about INTERPOLATION Given the following data Xi Yi 4 -5 (a) Using 2-nd order (or QUADRATIC) "LAGRANGE" interpolation function, compute the value of Y ( @X 4.7) ?? (b) Using 2-nd order (or QUADRATIC) "Newton Divided Difference" interpolation function, compute the coefficients bo, b1 and b2 ??
numerical methods question. please explain/solve clearly that is
understandable. will give thumbs up if solved in 30 mins
correctly
Find the LU decomposition of the matrix. 25 5 4 10 8 16 8 12 22
numerical methods
2+17), j = 0,1...... Problem 1: Recall that the Chebyshev nodes x0, 71,..., are determined on the interval (-1,1) as the zeros of Tn+1(x) = cos((n +1) arccos(x)) and are given by 2j +17 X; = cos in +12 Consider now interpolating the function f(x) = 1/(1+22) on the interval (-5,5). We have seen in lecture that if equispaced nodes are used, the error grows unbound- edly as more points are used. The purpose of this problem is...
Consider the function f(x) 1 25x which is used to test various interpolation methods. For the remainder of this problem consider only the interval [-1, 1] The x-values for the knots (or base-points) of the interpolation algorithm are located at x--1,-0.75, -0.5, -0.25, 0, 0.25, 0.5, 0.75 1. (a) Create a "single" figure in Matlab that contains 6 subplots (2x3) and is labelled as figure (777), i.e the figure number is 777. Plot in each subplot the function f(x) using...