Problem Sheet 10

Question 1

Outline possible applications of Artificial Neural Networks for Differential Equations.

Question 2

Discuss the application of numerical methods and Artificial Neural Networks in approximating solutions to Differential Equations, highlighting their strengths, weaknesses, and the specific problem types for which each method is most suitable.

Question 3

Outline the steps for using an Artificial Neural Networks can be designed to estimate the parameters of an Initial Value Problem.

Question 4

In your own words descibe how an Artificial Neural Networks can be designed to estimate the solution of a Differential Equation.