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Advanced Physics Using Matlab (a, ) Use any relevant method from our course to solve the PDE Ju du J²u (1.5u - 1) +0.05- Ət əx əx² = subject to boundary conditions u(0, t) 0 and u(6, t) = 0 (for all t from 0 to 8) and initial condition u(x, 0) = e-2(x-2)² (for all x from 0 to 6). Use a grid of 100 subintervals of the x-axis. On a single plot, show graphs of u(x, 0) versus x, u(x, 1) versus x, u(x, 2) versus x, u(x, 4) versus x, and u(x, 8) versus x. = (This PDE is sometimes used to model traffic flow, where u(x, t) represents the density of cars at position x along a road, at time t.) (b, du Repeat part (a) with the boundary conditions changed to ?x (0, t) = 0 and du ?х (6, t) = 0.

Advanced Physics Using Matlab (a, ) Use any relevant method from our course to solve the PDE Ju du J²u (1.5u - 1) +0.05- Ət əx əx² = subject to boundary conditions u(0, t) 0 and u(6, t) = 0 (for all t from 0 to 8) and initial condition u(x, 0) = e-2(x-2)² (for all x from 0 to 6). Use a grid of 100 subintervals of the x-axis. On a single plot, show graphs of u(x, 0) versus x, u(x, 1) versus x, u(x, 2) versus x, u(x, 4) versus x, and u(x, 8) versus x. = (This PDE is sometimes used to model traffic flow, where u(x, t) represents the density of cars at position x along a road, at time t.) (b, du Repeat part (a) with the boundary conditions changed to ?x (0, t) = 0 and du ?х (6, t) = 0.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Solve a and b
Advanced Physics Using Matlab (a, ) Use any relevant method from our course to solve the PDE du du (1.5и — 1) +0.05 at subject to boundary conditions u(0, t) = 0 and u(6, t) condition u(x, 0) = e2(-2) (for all x from 0 to 6). Use a grid of 100 subintervals of the r-axis. On a single plot, show graphs of u(x,0) versus x, u(x, 1) versus x, u(x, 2) versus x, u(x, 4) versus x, and u(x,8) versus x. = 0 (for all t from 0 to 8) and initial (This PDE is sometimes used to model traffic flow, where u(x, t) represents the density of cars at position x along a road, at time t.) (b, Repeat part (a) with the boundary conditions changed to = 0 and (6, t) = 0. dr (0, t)
Transcribed Image Text:Advanced Physics Using Matlab (a, ) Use any relevant method from our course to solve the PDE du du (1.5и — 1) +0.05 at subject to boundary conditions u(0, t) = 0 and u(6, t) condition u(x, 0) = e2(-2) (for all x from 0 to 6). Use a grid of 100 subintervals of the r-axis. On a single plot, show graphs of u(x,0) versus x, u(x, 1) versus x, u(x, 2) versus x, u(x, 4) versus x, and u(x,8) versus x. = 0 (for all t from 0 to 8) and initial (This PDE is sometimes used to model traffic flow, where u(x, t) represents the density of cars at position x along a road, at time t.) (b, Repeat part (a) with the boundary conditions changed to = 0 and (6, t) = 0. dr (0, t)
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