# Questions tagged [modeling]

Questions about approaches for simulating physical systems or phenomena by building from related understanding and basic principles.

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### Dealing with Vector Outputs from ItoProcess, RandomProcess (Stochastic Differential Equations)

I'm modeling stochastic chemical kinetics and the ItoProcess[] function has served me well. I am trying to write an efficient code to analyze many (Paths) trajectories of several different reagents (...
173 views

### determining solution to PDE with Mathematica

Bug introduced in or after 10.3, persisting through 11.2. It's been a while since I have touched separation of variable and not too keen to "get my hands dirty" if I may avoid it. The ...
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364 views

### Solving ODEs with ParametricNDSolve and fitting parameters to data (Not a list of real numbers)

I saw some similar posts here, but none of them gave me a solution. I have this set of data: ...
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426 views

### Caclulate second partial derivatives of a numerically defined function

I am performing a chi square minimisation with respect to some parameters x,y,z that are themselves part of the kernel involved in a numeric integral. I therefore ...
• 510
942 views

### Is it possible to find the transfer function of these three differential equations using Mathematica

Imagine you are attempting to obtain a model of a device with two inputs [u1, u2] and three outputs [O1, O2, x] from the Lagrangian. After some of Lagrangian work, you find the following three ...
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656 views

### Why does NonlinearStateSpaceModel linearise?

The documentation for NonlinearStateSpaceModel says: In NonlinearStateSpaceModel[eqns, ...] the Taylor linearization is with ...
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160 views

### Help to model fitting a distribution of weights in weighted graphs : power or exponential law?

I found this post https://math.stackexchange.com/questions/164436/difference-between-power-law-distribution-and-exponential-decay useful, but not sufficient for me to understand which law may best ...
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206 views

### Random placement of non-overlapping disks

I am trying to create a Monte Carlo simulation for a physical situation. The situation is a layer of disks are lying on a plane. The disks have a known mean radius and standard deviation, and a known ...
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386 views

### How to approximate the data curve with a function? [closed]

I want to approximate a data curve (the purple curve in the picture) with one function, so I can use it in my engineering simulation. Some explanation of purple curve The curly part is a sinusoid; ...
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1 vote
196 views

### 2D Electro-diffusion Model with NDSolve

Set Up I am attempting to make a 2D model of the diffusion of ions in solution due to concentration gradients and an electric field. The equation that needs to be solved to describe the diffusion is ...
121 views

### Implementing a model of electro-diffusion [closed]

I am an undergraduate researcher. I have been working with Mathematica for roughly a month. I have been assigned a modeling task. My objective is to model the diffusion of ions in solution under the ...
413 views

### Power law fitting package that optimizes fitting parameters based off of the KolmogorovSmirnov MC method

I'm exploring power law fitting and would like to get to a point of making a power law package like what was discussed in this post, where OP references the R poweRlaw package. As per the comments/...
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179 views

### How to compute "SinglePredictionConfidenceIntervalTable"-Values on validation data with NonlinearModeFit?

When I perform a NonlinearModelfit I get a FittedModel object and I can see the values of the property "SinglePredictionConfidenceIntervalTable". Now I apply the FittedModel object on a new data case (...
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239 views

### How to use FindFit to optimize parameters of a WSM model via WSMLink for a parametric curve

I have I-V (current-voltage) data which I am trying to use to calibrate a PV solar cell model in WSM using WSMLink from mathematica. I am using the FindFit function which simulates the model with each ...
398 views

### Reduce (or Solve) a set of inequalities assuming some independent variables are unbounded

First a summary of the general problem I'm trying to solve: I want to get a set of inequalities for a very complex function (If you are interested is the no-arbitrage conditions Black-Scholes equation ...
507 views

### Use a picture as the initial distribution of an agent based model

I am trying to make an agent based model similar to http://demonstrations.wolfram.com/DiffusionLimitedAggregationARealTimeAgentBasedSimulation/ http://demonstrations.wolfram.com/...
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1 vote
165 views

### Creating an Interactive Module that plots a graph and a highlighted vertex

For an assignment, I have to do the following: Build an interactive model with two controls, n and u, that generates a random ...
173 views

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### Sound synthesizer using Manipulate

Sound synthesizers, both digital and analog, often include a parameter section for shaping the amplitude of a sound wave over time. This parameter section is commonly known as an "ADSR EG" (attack, ...
• 415
1 vote
2k views

### Multivariable non-linear fitting

I have a function called "C" that I know it depends on 6 variable. I have a set of data points, 6 rows by 9 columns, in which in each row only one variable is changing and the rest of the variables ...
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1 vote
144 views

### How to make this model in wolfram mathematica?

A model production possibility curve (nonlinear case). I used 1/4 of a circle in the code. ...
126 views

### Recycle boundary condition

I'm having the following issue that can not find a solution , by using this boundary condition u[0, t] == 2 u[1, t] that Mathematica does not understand, someone ...
1 vote
313 views

### Determine the initial speed and launch angle of a projectile from its trajectory

I have the coordinates {x,y} needed to plot the trajectory of a projectile, which are given below: ...
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567 views

### How to do multi-agent modeling?

There are tons of examples here: http://demonstrations.wolfram.com/topic.html?topic=multi-agent+modeling&limit=20 But I been unable to find a good guide explaining what is the recommended ...
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1 vote
361 views

### Phase Portrait to Differential Equation [closed]

I posted this question on Math.SE and have received a satisfactory answer in the context of that website. I am re-posting it here to get input from Mathematica users. Why would I receive a different ...
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593 views

### Generate a simulated covariance matrix

I am working on a problem where one of the input variables is the level of covariance between the entries in a particular matrix. To simulate this problem in Mathematica, I will need to feed my code ...
• 169
250 views

### Comparison between numerical solution of nonlinear ode and nonlinear ode of second order

Background Let's consider the following initial value problem for nonlinear system $$\begin{cases} E' &=& 1 - n_e, \\ n_e' &=& -8\,n_e\,E, \end{cases} \tag{1}$$ with the following ...
933 views

### FindFit and NMinimize to fit a parametric model (minimize the distance of two curves)

I am trying to find a fit to the cumulative distribution of a set of points using FindFit or NMinimize. In particular, I would like to find the parameters of the cdf of the Beta Distribution that ...
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1 vote
710 views

### How to simulate Multifractional Brownian Motion?

The maximum I would ask, is hints, how to model MFBMotion. Link to paper Firstly, i wanted to simulate in MATLAB that code: ...
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1 vote
68 views

### Can I model the general political landscape with mathematica? [closed]

I want to develop a website which would model a province of 2 million people from a political point of view. Is mathematica a good fit for such a project? My background is that I'm an experienced ...
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613 views

### Problem exporting and re-importing STL file

I wrote all code and there're no errors in code. Result of code is like first picture(left). But I can't Import that structure. The result of import stl file is second one(right one). How can I import ...
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1 vote
583 views

### Transposition of state space form of a transfer function

How can I transpose the output of state space model in Mathematica? trying the following code would transpose the top right symbol s instead of the matrices. ...
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