CHE110_ModEulerVBA - Rose-Hulman Institute of Technology...

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Rose-Hulman Institute of Technology Department of Chemical Engineering CHE 110 - Introduction to Programming & Problem Solving Spring 2006 Workshop 4: Creating A Customized VBA Function to Perform Numerical Solution of an ODE Using the Modified Euler Method Background The modified Euler method is commonly used to solve 1 st order ordinary differential equations (ODEs). The method is shown here for a single ODE with a fixed integration step size, Δ x. ( ) , dy f x y dx = , o f x x x ( ) 0 o y x y = ( ) 1 , p c i i i i y y f x y x + = + ×Δ ( ) ( ) 1 1 1 0.5 , , c c p i i i i i i y y f x y f x y x + + + = + × + ×Δ Objective In Lecture 5, we implemented this method on a worksheet as shown below on the left. The objective of this computer workshop is to develop a customized VBA function procedure called ModEuler that simplifies the worksheet implementation. The VBA function will require that you specify values for the x and y at previous integration step ( i.e. x i and y i ) and a value for the integration step size, Δ x.
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