مروری بر کاربرد برنامه متلب در حل محاسبات عددی ریاضی

Abstract

In the current era, the complexity of scientific and research problems has significantly increased the demand for precise, flexible, and efficient computational tools. MATLAB, as an advanced computational program and a high-level programming language, has attained a distinguished status among such tools. This study aims to examine the key applications of MATLAB in solving numerical mathematical computations related to linear algebra, linear and nonlinear equations, derivatives, integrals, differential equations, matrices, and statistical analyses. The theoretical framework of this research is based on a library-based method, wherein credible scientific sources have been reviewed to evaluate MATLAB’s capabilities in addressing complex computational problems. The findings indicate that MATLAB, with its specialized toolboxes, predefined functions, advanced visualization capabilities, and support for object-oriented programming languages, provides a robust platform for conducting sophisticated mathematical analyses, teaching and implementing algorithms, and executing interdisciplinary projects. Indeed, MATLAB can be regarded as a reliable, flexible, and transformative tool in solving complex mathematical computations.