This repository contains a complete collection of implementations for various Numerical Methods used in computational mathematics. The project covers a wide range of topics including linear and ...

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 article proposes the MQHSS-Uzawa iterative method to solve the Navier-Stokes equation based on the MQHSS method and the Uzawa algorithm, and obtains and proves the convergence theorem ...

In response to the complexity of the Jacobian matrix inversion process in the power flow algorithm for AC/DC microgrids, leading to large memory requirements and susceptibility to convergence issues, ...

When addressing the question of variable saturation and density groundwater flow in coastal zones, the highly nonlinear system of coupled water-salt equations may deserve more attention. The classical ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The Time Fractional Burger equation was solved in this study using the Mabel software and the Variational Iteration approach. where a number of instances of the Time Fractional Burger Equation were ...

Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...