Problem on the Math Modeling - Project | MATH 647, Study Guides, Projects, Research of Mathematics

Material Type: Project; Class: MATH MODELLING; Subject: MATHEMATICS; University: Texas A&M University; Term: Unknown 1989;

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 02/13/2009

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Project
Problem 1
Model the average behavior of u๎˜which satisfies in D
a)
โˆ’โˆ†u๎˜+1
๎˜c(x
๎˜)u๎˜=f(x),
where hci= 0, and u๎˜= 0 on โˆ‚D.
b)
โˆ’โˆ‚
โˆ‚xi๎˜’aij (x
๎˜)โˆ‚
โˆ‚xj
u๎˜๎˜“+1
๎˜c(x
๎˜)u๎˜=f(x),
where hci= 0, and u๎˜= 0 on โˆ‚D.
c)
โˆ’โˆ‚
โˆ‚xi๎˜’aij (x
๎˜)โˆ‚
โˆ‚xj
u๎˜๎˜“+c(x
๎˜)u๎˜=f(x),
where u๎˜= 0 on โˆ‚D.
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Project

Problem 1

Model the average behavior of u^ which satisfies in D a) โˆ’โˆ†u^ +

c(

x 

)u^ = f (x),

where ใ€ˆcใ€‰ = 0, and u^ = 0 on โˆ‚D. b)

โˆ’

โˆ‚xi

aij (

x 

โˆ‚xj

u

c(

x 

)u^ = f (x),

where ใ€ˆcใ€‰ = 0, and u^ = 0 on โˆ‚D. c) โˆ’

โˆ‚xi

aij (

x 

โˆ‚xj

u

  • c(

x 

)u^ = f (x),

where u^ = 0 on โˆ‚D.