lect_10 - Introduction to Numerical Analysis for Engineers...

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Numerical Methods for Engineers 13.002 Lecture 10 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 10 Ordinary Differential Equations Initial Value Problems Differential Equation non-linear in y Non-Linear Differential Equation Linear Differential Equation Linear differential equations can often be solved analytically Non-linear equations require numerical solution x y a b
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Numerical Methods for Engineers 13.002 Lecture 10 Euler’s Method Differential Equation Example Discretization Finite Difference (forward) Recurrence euler.m Ordinary Differential Equations Initial Value Problems
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Numerical Methods for Engineers 13.002 Lecture 10
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lect_10 - Introduction to Numerical Analysis for Engineers...

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