# lect_11 - Introduction to Numerical Analysis for Engineers...

This preview shows pages 1–5. Sign up to view the full content.

Numerical Methods for Engineers 13.002 Lecture 11 Introduction to Numerical Analysis for Engineers • Ordinary Differential Equations 9 – Initial Value Problems 9.1 • Euler’s Method 9.2 • Taylor Series Methods 9.4 – Error analysis • Runge-Kutta Methods 9.5 – Systems of differential equations 9.7 – Boundary Value Problems 9.8 • Shooting method 9.8 • Direct Finite Difference methods 9.9 Mathews

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Numerical Methods for Engineers 13.002 Lecture 11 Initial Value Problems Higher Order Differential Equations Differential Equation Initial Conditions Convert to 1 st Order System Matrix form Solved using e.g. Runge-Kutta (ode45)
Numerical Methods for Engineers 13.002 Lecture 11 Boundary Value Problems Shooting Method Differential Equation x y a b Boundary Conditions ‘Shooting’ Method Initial value Problem Solve by Runge-Kutta ‘Shooting’ Iteration

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Numerical Methods for Engineers 13.002 Lecture 11 Boundary Value Problems Direct Finite Difference Methods Differential Equation x y a b Boundary Conditions Discretization Finite Differences h
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

lect_11 - Introduction to Numerical Analysis for Engineers...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online