CHE110-L05 - Numerical Solution of 1st Order Ordinary...

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Department of Chemical Engineering Numerical Solution of 1 st Order Ordinary Differential Equations (ODEs) CHE110 Introduction to Programming & Problem Solving
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Department of Chemical Engineering What is a 1 st Order ODE? () , oo of dy fx y dx yx x y xx x = == ≤≤ • Also called an initial value problem • Very common in engineering • Note: numerical integration solves for y in the problem y x dy f x dx =
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Department of Chemical Engineering Euler Method y x () , oo of dy fx y dx yx x y xx x = == ≤≤ project value of y o + Δ x based on slope, f(x,y), at y o ( ) 1 , ii i i yy f x y x + = Δ Euler Method Formula :
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Department of Chemical Engineering Modified Euler Method
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CHE110-L05 - Numerical Solution of 1st Order Ordinary...

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