Answered: 6. Solve the following initial value… | bartleby

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 15EQ

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6. Solve the following initial value problem involving Burgers' equation:
+ u = 1
TER, t> 0;
du du
J²u
Ət Әг əx²
u(x,0) = aH(x)
x > 0.
Here, H(r) denotes the Heaviside step function with unit step discontinuity at x = 0, and a > 0 is a real constant.

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