Question

Explain ‘green’s Function Techniques’.

Answer 1

The method of Greens functions is an important technique for solving boundary value and , initial and boundary value problems for partial differential equations.

In this module, we shall learn Greens function method for finding the solutions of partial differential equations.This is accomplished by constructing Greens theorem that are appropriate for the second order differential equations. These integral theorems will then be used to show how BVP and IBVP can be solved in terms of appropriately defined Greens functions for these problems. More precusely, we shall study the construction and use of Greens functions for the Laplace, the Heat and the Wave equations.