engineering analysis exam

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G - heat equation (ftcs, analytical)

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G - wave equation (ftcs, analytical)

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Heat Equation - forward time step

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Wave Equation - forward time step

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initialisation ui^1 (wave equation)

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central difference approximation (estimate u-1)

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stability for wave equation

|G| = 1, r <= 1

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stability for heat equation

|G| <= 1, r<=1/2

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r