a) Write down 1D advection equation (advection is convection without diffusion) b) Find the corresponding difference equation using first order forward scheme in time and first order backward scheme in space. c) Expand each term using Taylor series expansion and find the Truncation Frror

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a) Write down 1D advection equation (advection is convection without
diffusion)
b) Find the corresponding difference equation using first order forward
scheme in time and first order backward scheme in space.
c) Expand each term using Taylor series expansion and find the
Truncation Error
d) Under what condition the difference equation (b) is exactly the same
as the 1D advection equation (a)?
Transcribed Image Text:a) Write down 1D advection equation (advection is convection without diffusion) b) Find the corresponding difference equation using first order forward scheme in time and first order backward scheme in space. c) Expand each term using Taylor series expansion and find the Truncation Error d) Under what condition the difference equation (b) is exactly the same as the 1D advection equation (a)?
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