Purchase Solution

One Dimensional Heat Equation on a Finite Rod

Not what you're looking for?

Ask Custom Question

Can someone please solve this heat equations with details on how to arrive at the solution.?

Solve the heat equation:

u_t = 3*u_xx

with the following I.C/B.C:

u(0,t) = u(L,t) = 0


Purchase this Solution

Solution Summary

The solution shows how to apply separation of variables to solve the heat equation on a finite rod.
The process demonstrates how to use Fourier expansion to obtain a solution that satisfies the initial and boundary conditions.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other ...

Purchase this Solution

Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.