GitHub

Numerical Methods in MATLAB: Mini-Projects

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...
GitHub

Numerical Methods Fluid Dynamics Analysis

This repository contains MATLAB code implementations for solving nonlinear equations and performing numerical integrations to model the dynamics of a body falling through a fluid. The project focuses ...
IEEE

Improved Numerical Method for Polynomial Roots Identification in Matlab

Abstract: Identifying the roots of a polynomial is one of the standard tasks of numerical methods, which is often used in the analysis of system stability, regulation, etc. The presented article ...
IEEE

Dynamical Behavior of Nonlinear Coupled Reaction-Diffusion Model: A Numerical Study Utilizing ADI and Staggered Grid Finite Volume Method in Matlab

Abstract: In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a ...
Scientific Research Publishing

Comparative Studies between Picard’s and Taylor’s Methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems ()

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 ...
Frontiers

A TPS-based numerical method for simulating the non-linear diffusion logistic population model

The Fisher–Kolmogorov–Petrovsky–Piskunov equation is a diffusive logistic model for the population density of an invasive species. This paper presents a one-level numerical simulation of the ...