This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: f ( x ) , u t ( x, 0) = g ( x ) ( IC ) when (i) f ( x ) = 23cos (4 πx ) , g ( x ) = 2 cos (3 πx ), (ii) f ( x ) = x1 , g ( x ) = 2cos ( πx ). Q5. Use eigenfunction expansion to solve the heat equation u t = u xx + q, < x < 1 , t > , and q ≡ q ( x, t ) u (0 , t ) = 0 , u (1 , t ) = 0 , u ( x, 0) = f ( x ) when (i) q ( x, t ) = 2 t sin(2 πx ) , f ( x ) = sin (2 πx )5 sin (4 πx ). (ii) q ( x, t ) = et sin(3 πx )sin(5 πx ) , f ( x ) = sin ( πx ) + 2 sin (3 πx )....
View
Full
Document
This note was uploaded on 04/27/2009 for the course MATH 401 taught by Professor Sarkar during the Spring '09 term at Texas A&M.
 Spring '09
 SARKAR
 Math

Click to edit the document details