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Integral Equations (MATH-404)
Leibnitz formula for Differentiation of Integrals
Leibnitz formula for Differentiation of Integrals
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integral-equations.pdf (2.56 MB )
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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