### MA 346: Integral Equations with Applications

#### Credits: 3:0

Classification of integral equations and occurrence in boundary value problems for Ordinary and Partial Differential Equations, Abel’s integral equations, Integral equations of the second kind, Degenerate Kernels, The Neumann series solutions, Fredholm theorems, The eigenvalue problems, Rayleigh-Ritz method, Galerkin method, The Hilbert-Schmidt theory, Singular integral equations, Riemann-Hilbert problems, The Wiener-Hopf equations, The Wiener-Hopf technique, Numerical methods, Applications of integral equations of problems of Elasticity, Fluid Mechanics and Electromagnetic theory.

#### Suggested books and references:

1. Porter, D. and Stirling, S. G., Integral Equations, A Practical Treatment, Cambridge Univ. Press, 1990.
2. Gakhov, F. D., Boundary Value Problems, Addision Wesley, 1966.
3. Muskhelishvilli, N. I., Singular Integral Equations, Noordhoff, 1963.
4. Nobe, B., The Wiener-Hopf Technique, Pergamon, 1958.
5. Jones. D. S., The Theory of Electromagnetism, Pergamon, 1964.

#### All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 20 Feb 2020