# Athanasios Paraskevopoulos

### Hellenic Open University

Athanasios is a Teacher of Mathematics with a proven track record of working in education management. Proficient in Ease of Adaptation, Course Design, and Instructional Technology. Strong education professional with a Bachelor's degree with an emphasis in Mathematics from the University of Aegean. Currently, he is pursuing a Master's degree in Applied Mathematics at the Hellenic Open University, with a specific focus on Ordinary and Partial Differential equations. His enthusiasm lies in the application of mathematical models to real-world contexts, such as epidemiology and population growth.

**Programming Languages:**

MATLAB

**Spoken Languages:**

English

**Pronouns:**

He/him

**Professional Interests:**

Mathematics, Numerical Integration and Differential Equations, Partial Differential Equation Toolbox, Stochastic Differential Equation (SDE) Models, Applied Mathematics

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**Feeds**

Nondimensionalizing Length and Temp data from 2-D Ansys Transient thermal in Matlab

The characteristic length scale is 100 µm (or 100 × 10⁻⁶ m). The nondimensional length can be calculated as: where is th...

3 months ago | 0

Solved

Pizza!

Given a circular pizza with radius z and thickness a, return the pizza's volume. [ z is first input argument.] Non-scored bonus...

3 months ago

Odd and even numbers

You can solve this problem using a loop and an if-else statement to check whether a number is odd or even. % Define the range o...

3 months ago | 0

Question

Solving Duffing Equation with the new framework for ODEs

I solved the duffing equation using the new framework for ODEs. Below is the code. It works fine and plots as expected. Howeve...

3 months ago | 1 answer | 0

### 1

answerQuestion

Duffing equation:Transition to Chaos

The Original Equation is the following: Let . This implies that Then we rewrite it as a System of First-Order Equations Us...

3 months ago | 1 answer | 0

### 1

answerQuestion

Lorenz Attractor Animation with Frame-by-Frame Plotting

I was trying to create an animation of Lorenz Attractor. I used the following code but it did not give me the result I want l...

3 months ago | 1 answer | 0

### 1

answerQuestion

Representation of Gabriel's Horn

By reading the following very interesting paper An Understanding of a Solid with Finite Volume and Infinite Surface Area. ...

4 months ago | 1 answer | 0

### 1

answernonlinear dynamics(Measure synchronization)

Let's first correct and complete the provided code. We need to make sure that the equations, integration, and plot functions are...

5 months ago | 0

How to take input values from users symbolically while running a code?

I think this is what you asked for % Function to generate rotation matrix rot_matrix = @(axis, theta) cos(theta) * eye(3) + .....

5 months ago | 0

Plotting the Evolution of Spatially Localized Initial Conditions for Discrete Klein-Gordon Equation

% Parameters L = 200; % Length of the system K = 99; % Number of spatial points omega_d = 1; % Characteristic frequency b...

5 months ago | 0

| accepted

Question

Plotting the Evolution of Spatially Localized Initial Conditions for Discrete Klein-Gordon Equation

Ιn continuation of the study with which I have been fascinated Numerical Simulation of a Damped, Driven Nonlinear Wave System wi...

5 months ago | 1 answer | 0

### 1

answerPlot legend goes behing plot axes when using tiledlayout

The issue you are experiencing with legends disappearing behind the axes when moved in a tiledlayout can be addressed by setting...

5 months ago | 0

Crank-Nicholson method

The main issue with your code is in the line where you solve the linear system A⋅unew=b. The correct approach is to solve for 𝑢...

5 months ago | 0

Numerical Simulation of a Damped, Driven Nonlinear Wave System with Spatially Extended Initial Conditions

I found it i should remove the discretization parameter because in the following. I understood that @William Rose Thank yo...

6 months ago | 0

| accepted

Question

Plotting Phase Portrait of Duffing Equation

I study a paper that describes a stationary problem where the function satisfies the boundary conditions and is governed by a m...

6 months ago | 1 answer | 1

### 1

answerQuestion

Numerical Simulation of a Damped, Driven Nonlinear Wave System with Spatially Extended Initial Conditions

The study of the dynamics of the discrete Klein - Gordon equation (DKG) with friction is given by the equation : In the abov...

6 months ago | 1 answer | 0

### 1

answerAyers 'Differential Equations Problem 4

syms x y(x) C % Define the differential equation dy_dx = diff(y, x); ode = 4*x*dy_dx^2 + 2*x*dy_dx - y == 0; % Solve the...

6 months ago | 0

plot of riemann surface

To plot a complete Riemann surface for the function, you need to consider the nature of the complex square root function and how...

6 months ago | 0

| accepted

Custom colorbar labeling centered on colors

I tried the folowing code! It is similar with your second graph, but I could replicate the arrows correct. You can edit the cod...

6 months ago | 0

fitcdiscr bug: Why does "ClassNames" now have to be provided in alphanumerical order otherwise accuracy is terrible?

Code with Issue: load fisheriris Mdl = fitcdiscr(meas, species, "ClassNames", flip(unique(species, "stable")), "KFold", 10); ...

6 months ago | 0

plotting the bifurcation diagram of Duffing oscillations in the (x1, omega) plane?

function dx = duffing(t, x) global alpha delta beta F omega dx = [x(2); -delta * x(2) - alpha * x(1) - beta...

6 months ago | 0

How to solve SIR model with using DTM (Differential Transform Method)

function sir_model_dtm() % Parameters alpha = 0.3; % Infection rate beta = 0.1; % Recovery rate N = 1...

6 months ago | 0

Display in the command window

startUpHeight = 299.07; startUpValue = 100; radius = 15; minConstraintX = 50; % Swapped values maxConstraintX = 150; % Sw...

6 months ago | 0

| accepted

Question

Population Growth Model Analysis

Below I tried to solve Population Growth problem, I provide you the mathematical solution. Also, I create MATLAB code, however i...

6 months ago | 1 answer | 0

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answerfrequency equation for multiple degree freedom system

% Define the mass matrix M M = diag([1.8, 6.3, 5.4, 22.5, 54.0]); % Define the damping matrix C C = [10000, -10000, 0, 0, 0...

6 months ago | 0

Solving logistic ode for bacterial population growth

% Parameters r = 0.002; % per second K = 50000; % carrying capacity (assuming a value, as it is not provided) N0 = 1000; %...

6 months ago | 0

Question

Selecting appropriate values for the parameters in the Gierer-Meinhardt activator-inhibitor model

For the following activator-inhibitor system (Alfred Gierer-Hans Meinhardt model), with all constants positive and initial ...

6 months ago | 2 answers | 0

### 2

answersQuestion

Plotting Damped Nonlinear Oscillator

The given system is a damped nonlinear oscillator with a nonlinear resistance, described by the differential equation: where ...

6 months ago | 1 answer | 0

### 1

answerQuestion

Discrete Population Growth Model Plot

Use the detailed, discrete model for population growth that follows a variation of the logistic law: with . Calculate the p...

6 months ago | 0 answers | 0

### 0

answersQuestion

Plotting discrete Klein - Gordon equation (DKG) with friction in DNA

I am exploring the dynamics of the discrete Klein - Gordon equation (DKG) with friction is given by the equation : In the ab...

6 months ago | 1 answer | 0