Athanasios Paraskevopoulos

Hellenic Open University

Last seen: 1 year ago | Active since 2023

Followers: 9 Following: 6

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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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Answered
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...

1 year 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...

1 year ago

Answered
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...

1 year 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...

1 year ago | 1 answer | 1

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Discussion

Duffing equation : Transition to Chaos
Following on from my previous post The Non-Chaotic Duffing Equation, now we will study the chaotic behaviour of the Duffing Equa...

1 year ago | 4

Question

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...

1 year ago | 1 answer | 0

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answer

Discussion

The Non-Chaotic Duffing Equation
Studying the attached document Duffing Equation from the University of Colorado, I noticed that there is an analysis of The Non-...

1 year ago | 5

Discussion

Strange attractors
An attractor is called strange if it has a fractal structure, that is if it has non-integer Hausdorff dimension. This is often t...

1 year ago | 9

Question

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...

1 year ago | 1 answer | 0

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answer

Discussion

Dynamics of predator-prey model
This project discusses predator-prey system, particularly the Lotka-Volterra equations,which model the interaction between two s...

1 year ago | 4

Discussion

Looking for Beginner Courses on Drone Programming
Hi everyone, I've recently joined a forest protection team in Greece, where we use drones for various tasks. This has spark...

1 year ago | 1

Discussion

Gabriel's Horn
Gabriel's horn is a shape with the paradoxical property that it has infinite surface area, but a finite volume. Gabriel’s hor...

1 year ago | 4

Question

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

1 year ago | 1 answer | 0

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Discussion

Stochastic simulation of a novel pathogen
We are modeling the introduction of a novel pathogen into a completely susceptible population. In the cells below, I have provid...

1 year ago | 3

Answered
nonlinear 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...

1 year ago | 0

Answered
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) + .....

1 year ago | 0

Answered
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...

1 year ago | 0

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Discussion

Discovering an Excellent Resource on Ordinary Differential Equations
While searching the internet for some books on ordinary differential equations, I came across a link that I believe is very usef...

1 year ago | 6

Discussion

Numerical Simulation of the Discrete Klein-Gordon Equation: A Study on Damped, Driven Nonlinear Wave Systems 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...

1 year ago | 2

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...

1 year ago | 1 answer | 0

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Answered
Plot 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...

1 year ago | 0

Answered
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...

1 year ago | 0

Answered
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...

1 year ago | 0

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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...

1 year ago | 1 answer | 1

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answer

Question

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...

1 year ago | 1 answer | 0

1

answer

Answered
Ayers '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...

1 year ago | 0

Answered
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...

1 year ago | 0

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Answered
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...

1 year ago | 0

Answered
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); ...

1 year ago | 0

Answered
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...

1 year ago | 0