Hilbert Schmidt theory of integral equations with symmetric kernels
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Course Material
- Integral Equation: definitions and basics
- Classification of Integral equations
- Classification of Integro-Differential equations
- Formulation of initial value problem and boundary value problem form integral equation
- Leibnitz formula for Differentiation of Integrals
- Reducing multiple integrals into single integrals
- Linearity and Homogeniety
- Volterra Integral equation
- Fredholm integral equation
- Mid Term Exam
- Laplace transform and properties, Abel’s Integral equation
- Solution of Volterra integral equation
- Solution of Fredholm integral equation
- Construction of Green function, variation of parameter
- Hilbert Schmidt theory of integral equations with symmetric kernels
- Quadrature methods and Least square methods
- Regularization and filtering techniques
- Final Term Exam
- Chapters 18
- Department Mathematics(SCB)
- Teacher
Ms. Maira Hafeez
