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.
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
Statistiques
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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...
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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...
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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...
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réponseQuestion
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...
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réponseQuestion
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...
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réponseQuestion
Representation of Gabriel's Horn
By reading the following very interesting paper An Understanding of a Solid with Finite Volume and Infinite Surface Area. ...
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réponsenonlinear 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...
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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) + .....
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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...
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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...
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réponsePlot 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...
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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...
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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...
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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...
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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...
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réponseAyers '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...
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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...
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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...
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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); ...
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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...
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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...
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Display in the command window
startUpHeight = 299.07; startUpValue = 100; radius = 15; minConstraintX = 50; % Swapped values maxConstraintX = 150; % Sw...
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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...
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réponsefrequency 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...
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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; %...
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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 ...
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réponsesQuestion
Plotting Damped Nonlinear Oscillator
The given system is a damped nonlinear oscillator with a nonlinear resistance, described by the differential equation: where ...
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réponseQuestion
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...
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réponseQuestion
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...
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réponseCalculating the radius of a link budget
Hello! To calculate the cell radius of a link budget, particularly in a telecommunications context like satellite communications...
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