研究在科学和工程的各个领域中使用的积分方程

D. N. Warade, Sheetal R. Gomkar, P. H. Munjankar, Arun R. Kamble
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引用次数: 0

摘要

在科学和工程的几个分支中,积分方程是最常用的技术之一。数学物理、力学、物理科学、工程等都依靠积分方程来帮助他们解决物理问题。在本研究中,我们将讨论积分方程的一些基本定义和分类。我们将介绍在许多物理问题中出现的一些积分方程及其应用。此外,我们将讨论如何解决线性和非线性积分方程的各种技术,即数值方法,解析方法和拉普拉斯变换方法等。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
STUDY OF INTEGRAL EQUATIONS USED IN VARIOUS FIELDS OF SCIENCE AND ENGINEERING
: In several branches of science and engineering, integral equations are among the most often used techniques. Mathematical physics, mechanics, the physical sciences, engineering, etc. all rely on integral equations to help them to solve physical problems. In this study, we will go through some basic definitions and classifications of integral equations. We will present some integral equations in many physical issues arises in various fields and their applications. Further we will discuss how to resolve linear & non-linear integral equations with various techniques viz. Numerical methods, Analytical methods and Laplace transform methods etc.
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