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Week - 1 |
Basic Concepts, Classification of integral equations |
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Week - 2 |
Classification of integral equations, Volterra integral equations, Fredholm integral equations, singular integral equations, Integro-differential equations |
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Week - 3 |
Relation between linear differential equation and Volterra's integral equation, converting Volterra equation to ODE, converting differential equation to Fredholm integral equations |
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Week - 4 |
Fredholm integral equations, solutions of integral equations with constant and degenerate kernels. |
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Week - 5 |
The method of successive approximations |
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Week - 6 |
Resolvant kernel, relation between resolvant and kernel |
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Week - 7 |
Fredholm Theorems |
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Week - 8 |
Fredholm Teorems |
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Week - 9 |
Solutions of Volterra integral equations by using Gamma - Beta functions |
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Week - 10 |
Volterra integral equations, the method of successive approxaimations |
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Week - 11 |
Solution of Volterra integral equation by using The method of Laplace transforms |
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Week - 12 |
The series method |
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Week - 13 |
Faltung types integral equations |
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Week - 14 |
Applications of integral equations |