Consider the Boundary Value Problem y" = (3x2+1) y ' + (5x²+1) y + (3x²+1), y (0) = 8, y' (6) = 8 Use the finite-difference approach and employ centered finite difference approximations with Ax = 2 to assemble the linear system of 3 equations in 3 unknowns fi 91 0 y1 e2 f2 92 O e3 f3 b1 y2 676 y3 b3 then f1 f2 %3D f3 = %3D g1 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the Boundary Value Problem
y" = (3x2+1) y ' + (5x²+1) y + (3x²+1),
y (0) = 8, y'(6) = 8
Use the finite-difference approach and employ
centered finite difference approximations
with Ax = 2 to assemble the linear system
of 3 equations in 3 unknowns
fi 91 0
y1
b1
e2 f2 92
y2
676
O e3 f3
y3
b3
then
f1 =
f2 -
f3 =
%3D
g1
%3D
Transcribed Image Text:Consider the Boundary Value Problem y" = (3x2+1) y ' + (5x²+1) y + (3x²+1), y (0) = 8, y'(6) = 8 Use the finite-difference approach and employ centered finite difference approximations with Ax = 2 to assemble the linear system of 3 equations in 3 unknowns fi 91 0 y1 b1 e2 f2 92 y2 676 O e3 f3 y3 b3 then f1 = f2 - f3 = %3D g1 %3D
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