NUMERICAL METHODS PLEASE ANSWER (a), (b) and (c) Consider the following boundary-value problem: y" = 2x²y + xy +2, 1≤x≤4. Taking h= 1, set up the set of equations required to solve the problem by the finite difference method in each of the following cases of boundary conditions: (a) y(1)=-1, y(4)= 4; (b) y'(1) = 2, y'(4) = 0; (c) y'(1) = y(1), y'(4) = -2y (4). (Do not solve the equations!).
NUMERICAL METHODS PLEASE ANSWER (a), (b) and (c) Consider the following boundary-value problem: y" = 2x²y + xy +2, 1≤x≤4. Taking h= 1, set up the set of equations required to solve the problem by the finite difference method in each of the following cases of boundary conditions: (a) y(1)=-1, y(4)= 4; (b) y'(1) = 2, y'(4) = 0; (c) y'(1) = y(1), y'(4) = -2y (4). (Do not solve the equations!).
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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NUMERICAL METHODS
PLEASE ANSWER (a), (b) and (c)
Consider the following boundary-value problem:
y" - 2x²y + xy +2, 1≤x≤4.
Taking h= 1, set up the set of equations required to solve the problem by the finite difference method
in each of the following cases of boundary conditions:
(a) y(1)=-1, y(4) = 4;
(b) y'(1)=2, y'(4) = 0;
(c) y'(1) = y(1), y'(4) = -2y(4).
(Do not solve the equations!).
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