Question 10. Given the linear boundary problem y" (t) + ty' (t) – 12y(t) = -4t2, 0 < t< 1 y(0) = 0.3, y(1) = 1.1 %3D Use the finite difference method to approximate y(t) on [0, 1] with the step size h = 0.25.
Question 10. Given the linear boundary problem y" (t) + ty' (t) – 12y(t) = -4t2, 0 < t< 1 y(0) = 0.3, y(1) = 1.1 %3D Use the finite difference method to approximate y(t) on [0, 1] with the step size h = 0.25.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Introduction
At first we will discretize the boundary value problem inti finite difference equation.
Then we will construct linear equations using boundary conditions.
Finally solving those we will obtain the solution.
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