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L-05 || Classification of Integral Equations|| Integral Equations || Integral Equations M.Sc
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Integro Differential equations
Volterra Integral Equations
Fredholm Integral Equation
Homogeneous Integral Equation
Linear non Linear Itegral Equations
Singular Integral Equations
Classification of Integral Equations
Solution of Integral Equations
An integral equation is a mathematical expression that includes a required function under an integration sign. Such equations often describe an elementary or a complex physical process wherein the characteristics at a given point depend on values in the whole domain and can't be
defined only on the bases of the values near the given point (as in local-type problems described by differential equations). Most frequently, integral equations as well as integro-differential equations are found in such problems of heat and mass transfer as diffusion, the potential theory and radiation heat transfer.
The most frequently used linear integral equations fall under two main classes namely
Fredholm and Volterra integral equations. However, in this text we will distinguish four
more related types of linear integral equations in addition to the two main classes. In
what follows, we will give a list of the Fredholm and Volterra integral equations, and
the four related types:
1. Fredholm integral equations
2. Volterra integral equations
3. Integro-differential equations
4. Singular integral equations
5. Volterra-Fredholm integral equations
6. Volterra-Fredholm integro-differential equations
In the following we will outline the basic definitions and properties of each type.
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What is integral equation
Definition of integral equation
Examples of integral equation
Integral equation Urdu
integral equation Hindi
Integro Differential equations
Volterra Integral Equations
Fredholm Integral Equation
Homogeneous Integral Equation
Linear non Linear Itegral Equations
Singular Integral Equations
Classification of Integral Equations
Solution of Integral Equations
An integral equation is a mathematical expression that includes a required function under an integration sign. Such equations often describe an elementary or a complex physical process wherein the characteristics at a given point depend on values in the whole domain and can't be
defined only on the bases of the values near the given point (as in local-type problems described by differential equations). Most frequently, integral equations as well as integro-differential equations are found in such problems of heat and mass transfer as diffusion, the potential theory and radiation heat transfer.
The most frequently used linear integral equations fall under two main classes namely
Fredholm and Volterra integral equations. However, in this text we will distinguish four
more related types of linear integral equations in addition to the two main classes. In
what follows, we will give a list of the Fredholm and Volterra integral equations, and
the four related types:
1. Fredholm integral equations
2. Volterra integral equations
3. Integro-differential equations
4. Singular integral equations
5. Volterra-Fredholm integral equations
6. Volterra-Fredholm integro-differential equations
In the following we will outline the basic definitions and properties of each type.
LIKE COMMENT SHARE SUBSCRIBE
-----------------------------------------------------------
------------------------------------------------------------
What is integral equation
Definition of integral equation
Examples of integral equation
Integral equation Urdu
integral equation Hindi
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