ди ди I Example 11.12. Solve the equation at subject to the conditions u(x, 0) = sin nx, 0Sx s1; u(0, t) = u(1, t) 0, using (a) Schmidt method, (b) Crank- Nicolson method, (c) Du Fort-Frankel method. Carryout computations for two levels, taking h = 1/3, k = 1/36. %3D

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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ди ди
I Example 11.12. Solve the equation
subject to the conditions u(x, 0) = sin nx, 0Sx S1; u(0,
t) = u(1, t) = 0, using (a) Schmidt method, (b) Crank-
Nicolson method, (c) Du Fort-Frankel method. Carryout
computations for two levels, taking h = 1/3, k = 1136.
%3D
%3D
Transcribed Image Text:ди ди I Example 11.12. Solve the equation subject to the conditions u(x, 0) = sin nx, 0Sx S1; u(0, t) = u(1, t) = 0, using (a) Schmidt method, (b) Crank- Nicolson method, (c) Du Fort-Frankel method. Carryout computations for two levels, taking h = 1/3, k = 1136. %3D %3D
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