Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

Abstract: This paper investigates a distinct numerical algorithm for the solution of first and second orders initial value problems. The new method was developed using interpolation and collocation ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...

In geometrically nonlinear problems solved using the Finite Element Method (FEM), the structure response is directly influenced by the level of discretization and the nonlinear solution algorithm used ...

First aired in 2020, Jujutsu Kaisen has made a name for itself as one of the biggest and best shonen anime airing right now. But, if you’re just starting out, what is the best Jujutsu Kaisen watch ...

Can Weak SINDY be used on higher order ordinary differential equations, for example the van der Pol equation (a second order differential equation): x''(t) - mu (1-x^2) x' + x = 0 (where x' is the ...

ABSTRACT: This research work investigates the use of Artificial Neural Network (ANN) based on models for solving first and second order linear constant coefficient ordinary differential equations with ...