Publication Details
Abstract
Finite difference schemes are fundamental numerical methods used in mathematics and informatics for solving differential equations and modeling various physical and computational phenomena. This article provides a comprehensive overview of finite difference schemes, discussing their principles, applications, advantages, and limitations. We delve into the mathematical foundations, explore different types of finite difference approximations, and highlight their significance in solving partial and ordinary differential equations. Furthermore, we examine their role in informatics, including their applications in computer graphics, image processing, and computational fluid dynamics. This article aims to offer readers a thorough understanding of finite difference schemes and their widespread implications across diverse scientific and technological domains.