NEXT

• 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