Math Problem Statement
COnsidere el problema de difusin con solucion exacta u(x,t)=x+t que satisface: derivada parcial de u(x,t) respecto a t - e^-x * segunda derivada parcial de u(x,t) respecto a x = 1 con u(x,0)=x ; u(0,t)=t ; u(1,t)= t+1 considere solo 3 nodos internos y método explicito. Aproxime t=0,3 con 4 iteraciones. Determine el error global con norma infinito.
Solution
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Math Problem Analysis
Mathematical Concepts
Partial differential equations
Finite difference methods
Boundary conditions
Formulas
Explicit method formula for diffusion equation
Theorems
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Suitable Grade Level
Advanced undergraduate or graduate level
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