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Clarification regarding Sensitivity Analysis of a coupled ODE system using the odesensitivity function
Start with the simple example y'(t) = p(1)*y(t), y(0) = 1. The solution is y(t) = exp(p(1)*t). The (local) sensitivity is ...

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How to make ode45 store/return only results of every n-th time step to reduce memory use?
You can specify the times when the solution should be saved in the input variable "tspan" to "ode45". And you should test wheth...

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Energy Harvesting of Cantilever Beam with MSMA alloy1
I inserted "warning('off')" at the start of your code because your matrix M in your function "system_eqs" is singular and MATLAB...

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Sampling from inverse gamma distribution by specifing mean and standard deviation
It works for mu = 0.5, sig = 0.5, e.g. . It seems that your distribution parameter "a" is too close to the critical value of a =...

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How to code an equation with that integrates a vector.
If there is no closed-form expression for u (e.g. if u depends on x), you can solve the vector-differential equation dx/dt = u ...

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The surface area won't round to one decimal place and I don't know how to get rid of the 'e's.
https://uk.mathworks.com/help/matlab/ref/fprintf.html https://uk.mathworks.com/help/matlab/ref/format.html

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Need to correct the following script in part of Infinitely Long Horizontal Cylinder (to be of perfect circular base)
%% 2. Infinitely Long Horizontal Cylinder subplot(1,3,2); theta = linspace(0, 2*pi, 30); x_v = linspace(-10, 0, 20); [Theta,...

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Grey box model of 1d heat diffusion in a rod (official mathworks example)
I think it will be simpler to couple "pdepe" for the solution of your PDE and "lsqnonlin" for optimizing your model parameters. ...

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trouble using pdepe to solve system of pdes
Your initial condition for u(2) at x = 0 is not consistent with your boundary condition. Use function u0 = icfun(x) global ...

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How plot 2d of more than 3 function and substitute the number in each function separate parameter?
y=@(x,t,m)real(((-0.385e1 .* tanh(-x - 0.310e1) - 0.385e1 * coth(-x - 0.310e1)) .^ (0.1e1 ./ m ./ 0.2e1)) .* exp(i * (0.431e1 * ...

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Help with the Deflection of a Plate in MATLAB
You are trying to solve the heat conduction equation with a homogeneous heat sink -q/D and boundary temperature 0. Is this the s...

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Time dependent variable in plot.
The simplest method is to define x, compute y in a loop and plot: x = 0:0.1:15; for i = 1:numel(x) if x(i) >= 0 & x(i) < ...

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Solving Advection Equation PDE with 2nd order Accuracy
Usual second-order schemes for the advection equation will always produce oscillations. Section 3.1.3 of the enclosed article su...

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How can I use fmincon with general (user defined) nonlinear constraints?
g = @(x)deal([gl(x(1:nx),x(nx+1:nx+ny));gf(x(1:nx),x(nx+1:nx+ny))],[])

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Assign fitlme output to a variable
See https://uk.mathworks.com/help/stats/linearmixedmodel.html The functions that can be applied to a fitlme object are: a...

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Avoiding -0.0000 as an output
The results for d2,...,d4 aren't exactly 0 because of floating point errors in their computation. So without artificially manipu...

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solve symbolic eigenvalue problem
If you want an analytical expression for the eigenvalues dependent on the parameter a, your matrix A must have dimension <= 4. ...

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problem to solve incorrrect
%% R-RRR clear all; clc; close all % Input data AB=0.325; %(m) BC=0.938; %(m) CD=0.675; %(m) CE=0.6; %(m) xD=0.8; %(m) y...

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Monte Carlo integration (hit or miss) to find the area of a circle of radius R
You compare the area of the square with side length R and corner points (0,0), (R,0), (R,R) and (0,R) with the area of the quart...

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Finding parameters by fitting data to a system of ODEs with lsqnonlin
syms T1(t) T0(t) s d g eqn1 = diff(T0,t) == s - (d+g) *T0 ; eqn2 = diff(T1,t) == 2*d*T0 + (d-g)*T1; sol = dsolve([eqn1,eqn2])...

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Can pdepe solve a system of two second-order equations?
Goto https://uk.mathworks.com/matlabcentral/fileexchange/97437-pde1dm download the code, goto folder "documents" and study ex...

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Error in flood_algorithm_rtc_pv (line 22) best_fitness = objective_function(best_solution, V_data, I_data); i don not understand this error
V_data and I_data must be of the same size. This is not the case in your code.

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Issues solving a system of 2, second order, differential equations with ode45
Replace Cd = 0,45 ;% drag coef aircraft [-] rho_Air = 1,2 ...

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simulating rolling 1 and 2 dice
You get a discrete pdf and cdf for the one and two dice-roll experiments you describe. So it doesn't make sense to smoothe resul...

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Very new to this and need help making a contour plot that shows correlation between weight of powder, bullet seating depth, and group size.
What is the problem using the contourf command ? All you need is the matrix MOA - I created it using random numbers. Varget = 4...

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Hello everyone, can anyone provide me the matlab code of FD SLIC algorithm or FM SLIC algorithm
https://uk.mathworks.com/matlabcentral/fileexchange/50184-slic-superpixels-for-e-cient-graph-based-dimensionality-reduction-of-h...

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Eliminate for-loop in recursive computation?
pn_out = cumprod(fact).*(-y).^(m+1) But I'm not sure this will be faster than your loop, especially y.^(1:n) compared to a recu...

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What happens if I set both RelTol and AbsTol for ODE45 and/or both TolX and Tolfun for FSOLVE?
Do these functions refine steps, etc. until both requirements are satisfied or only one of them? Both. Read about error contro...

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Which statistic is minimized in curve fitting app
My question is what parameter/statistic is minimized to make a fit? SSE (maybe weighted if you specify weights for the measurem...

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Help with MATLAB symbolic toolbox
Can't you use "dsolve" ? If not, use % Find the value of C1 interm of C2 C1_sol = vpa(solve(yp, C1),4) % Sub C1 into equat...

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