Syllabus

• Linear integral equations: preliminaries, classification, solution
• Conversion between Volterra equation and ODE; BVP and Fredholm equation
• Numerical approximation techniques for Fredholm equation

• Homogeneous Fredholm integral equations; Fredholm integral equations of first kind
• Numerical approximation techniques for Volterra integral equations; Volterra integral equations of first kind
• Fredholm integro-differential equations
• Numerical techniques for solution
• Converting to Fredholm integral equations
• Converting to Volterra integral equation
• Volterra integro-differential equations of the first kind; Singular integral equations
• The weakly-singular Volterra integral equations
• Numerical treatment of Fredholm and Volterra type integral equations
• Real-world applications of Volterra, Fredholm and singular integral equations in physics and engineering
• Real-World Applications of Volterra, Fredholm and singular integral equations in physics and engineering