Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the following boundary value problem (BVP) for a second-order ordinary differential equation (ODE):

\[
\frac{d^2y}{dx^2} = y + \sin x, \quad 0 \leq x \leq 2,
\]

\(y(0) = 1.0, \, y(2) = 3.0.\)

\(x\) is in radians.

1. Using the central difference formula for approximating the second derivative, discretize the ODE to a finite difference equation.
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Transcribed Image Text:Consider the following boundary value problem (BVP) for a second-order ordinary differential equation (ODE): \[ \frac{d^2y}{dx^2} = y + \sin x, \quad 0 \leq x \leq 2, \] \(y(0) = 1.0, \, y(2) = 3.0.\) \(x\) is in radians. 1. Using the central difference formula for approximating the second derivative, discretize the ODE to a finite difference equation.
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