A MATLAB project to create a custom ODE solver using the Improved Euler (Heun) method and compare its results with MATLAB's built-in ode45. Includes exercises on ...

This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...

Numerical techniques play a crucial role in engineering applications where analytical solutions may be difficult or impossible to obtain. These methods involve using numerical algorithms to solve ...

To solve the first-order differential equation derived from the problem of a free-falling object and the problem arising from Newton’s law of cooling, the study compares the numerical solutions ...

This article deals with the numerical positivity, boundedness, convergence, and dynamical behaviors for stochastic susceptible-infected-susceptible (SIS) model. To guarantee the biological ...