- #1
Andreol263
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Hello, I'm getting interest in the name integral equations and what it can give to me of insights, but i don't see any application of this, can anyone give me a example where it is used??
Just like differential equations, where the change in a certain quantity w.r.t. time for example, is used to model certain phenomena, integral equations are used where the processes involved are expressed with integrals rather than derivatives.Andreol263 said:Hello, I'm getting interest in the name integral equations and what it can give to me of insights, but i don't see any application of this, can anyone give me a example where it is used??
An integral equation is a mathematical equation that involves an unknown function in an integral. It is used to solve problems in various fields of science and engineering.
The main difference is that a differential equation involves derivatives of an unknown function, while an integral equation involves integrals of an unknown function. In other words, a differential equation relates a function to its derivatives, while an integral equation relates a function to its integrals.
Integral equations are solved using various techniques such as separation of variables, Laplace transform, and numerical methods like the Gauss-Seidel method. The specific method used depends on the type and complexity of the integral equation.
Integral equations are used in many fields, including physics, engineering, and economics. They are commonly used to model problems involving continuous systems, such as fluid flow, heat transfer, and electromagnetic fields.
Yes, integral equations are used to solve many real-world problems. For example, they can be used to calculate the distribution of temperature in a solid object, the flow of water through a pipe, or the electric potential in a circuit.