Q1. Write the detailed note on Neumann series. (15)
Q2. Write the detailed note on Boundary Value Problem. (15)
Q3. What are the types of partial differential equations? (10)
Q1. Write the detailed note on Neumann series.
Neumann series was named after the mathematician Carl Neumann who used it in 1877 in the context of potential theory. The Neumann series is used in functional analysis. Most of the integral equations cannot be solved by the specialized techniques we had to develop a rather general technique for solving such integral equations. The method is applicable whenever the series converges. We can solve a linear integral equation of the second kind by making successive approximations which we can discuss later.