Introduction In earlier parts we discussed the basics of integral equations and how they can be derived from ordinary differential equations. We also solved a linear integral equation using the trial method in the second part. Now we are in a situation from where the main job of solving Integral Equations can be started. But before we go…
Integral Equations
This post explains the basic method of converting an integral equation into a corresponding differential equation.
In this article, I will teach you about Square Integrable Functions, Norms and the solution of Integral Equations by the trial method. Don’t forget to refer: Definitions and Types of Integral Equations Square Integrable function or quadratically integrable function $\mathfrak{L}_2$ function A function $y(x)$ is said to be square integrable or $\mathfrak{L}_2$ function on the…
In this article, I will explain what Integral Equations are, how they are structured and what are certain types of Integral Equations. What is an Integral Equation? An integral equation is an equation in which an unknown function appears under one or more integration signs. Any integral calculus statement like — $ y= \int_a^b \phi(x)…