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Consider a PDE for Y(x, t) with a boundary condition at the right boundary of the spatial domain 0 ≤ x ≤ L given by a²Y (x = L,t) = sin(t). მx2 If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x+1 = t = t(n) that is at least second-order accurate in space, i.e., Y(n) M+1 =... (2) L and

Consider a PDE for Y(x, t) with a boundary condition at the right boundary of the spatial domain 0 ≤ x ≤ L given by a²Y (x = L,t) = sin(t). მx2 If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x+1 = t = t(n) that is at least second-order accurate in space, i.e., Y(n) M+1 =... (2) L and

Advanced Engineering Mathematics
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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Consider a PDE for Y(x, t) with a boundary condition at the right boundary of the spatial domain 0 ≤ x ≤ L given by a²Y (x = L,t) = sin(t). მx2 If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x+1 = t = t(n) that is at least second-order accurate in space, i.e., Y(n) M+1 =... (2) L and
Transcribed Image Text:Consider a PDE for Y(x, t) with a boundary condition at the right boundary of the spatial domain 0 ≤ x ≤ L given by a²Y (x = L,t) = sin(t). მx2 If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x+1 = t = t(n) that is at least second-order accurate in space, i.e., Y(n) M+1 =... (2) L and
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