lect_11 - Introduction to Numerical Analysis for Engineers...

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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
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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)
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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
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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
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.993J taught by Professor Henrikschmidt during the Spring '05 term at MIT.

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lect_11 - Introduction to Numerical Analysis for Engineers...

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