Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

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 ...

Breakthroughs in the realm of optoelectronic circuits, demonstrating the power of PSPICE software in solving nonlinear equations for advanced electronics. Software models for Si and GaAs pin ...

This carefully selected free compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Ideal for students who are revising ...

In this study, we applied the variational iteration method to solve the Boussinesq time equation. Bossiness’s article from 1872 introduced the equations that are now known as the Boussinesq equations.

You do not have access to this resource. The finite volume method is used to solve the Navier-Stokes equations. The paper is divided into two distinct parts. The first part presents the discretization ...

In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.