numerical-analysis code snippets in matlab

briefly explain why the truncation error tends to decrease as the roundoff error increases (or vice versa). in matlab

calculate an integral using chebyshev polynomials in matlab

calculate the gradient of an image in matlab in matlab

central difference approximation to the first derivative of a function with increasingly smaller values of h in matlab

complete the matlab function that numerically solves the above system of differential equations. initially p and h are zero whereas r0 = ξ·γ0 is the initial value for r. in matlab

compute the rank of a matrix in matlab

consider the floating point system the smallest positive, normalized element (ε0 ) in matlab

consider the floating point system: f=[a=2,k−=−6,k+=6,t=4]the distance between 1 and its right neighbour (ε1 ) is: in matlab

contour function to show temperature on a 2d plate at 0, 1, 2, 5, 10, 100 seconds for discretised pde with jacobi solver. implicit euler for time and central differencing for space. using pointers in matlab

create a multigrid solver for poissons equation in matlab

estimate f’(x) at xi =𝟏, using both forward and centered finite difference in matlab

f = @(x) exp(x); % define exponential function xi = 1; df = @(x) exp(x); % derivative of exponential is itself fprime_true = df(xi); % evaluate derivative at xi=1 disp(fprime_true) in matlab

fsolve in matlab

laplace inversion and gauss-chebychev quadrature integration in matlab

quadrature differentiation in matlab

suppose f(x) = cos(x), and we want to estimate f’(x) at xi=𝝅/2, (so f(xi )=0) using centered finite difference. what is the true value of f’(xi ) show the code for the true value of f’(xi ) as well? in matlab

the square root of 5 is one of the solutions to the equation x^2-5=0. using the nr method, write a script that computes the square root of 5 and check that your results are correct. in matlab

three properties of numerical analysis in matlab

use the secant method to determine resting membrane potential (e m) for j+ = 0.9 mm/min to an error tolerance of tol and an initial guess of x1se and x2se in the ghk equation in matlab in matlab

write a script to solve the linear system of equations using gauss seidel interation solver in matlab

write code to set convergence criteria jacobian in matlab