Purchase Solution

Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition

Not what you're looking for?

Ask Custom Question

The Green's function for the infinite domain is...
where H is the Heaviside function. Use Green's functions to solve the Neumann boundary condition problem...
Give explicit formulas for the solution in each region x>t and x<t.

Please see attached for equations.

Attachments
Purchase this Solution
Solution Summary

Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

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

Probability Quiz

Some questions on probability

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.

Exponential Expressions

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

View More Free Quizzes
Related BrainMass Solutions

  • Green's function and Electrostatic potential

    590584 Green's function and Electrostatic potential How do you show that the Green's function is always symmetric under Dirichlet boundary condition but symmetric under Neumann boundary condition only with certain modification?

  • PDE with Time-Dependent Domain

    Consider the diffusion equation: on the time-dependent domain where a is a constant. We wish to solve the initial and boundary value problem having for and a prescribed .

  • Heat Equation and Boundary Value Problems : Steady-State Solution, Neumann Boundary Conditions

    40782 Heat Equation and Boundary Value Problems : Steady-State Solution, Neumann Boundary Conditions Please see the attached file for the fully formatted problems.

  • Green's function using Laplace

    440169 Green's function using Laplace I would like help with the step's to solve the system, I have three parts: x' + x = f(t) using Green's function Given for the force f(t) = ?(t) with the initial condition x(t = 0) = 0.

  • Separation of variables, sine and cosine expansion.

    Sketch the extended function for series in (a) and (b). 2. Solve the wave equation: [attached] with boundary conditions: u(0,t) = u(1,t) = 0 and initial condition: [attached]. You may use the results from number 1. 3.

  • Laplace Equation with Neumann Boundary Condition on a Circle

    34204 Laplace Equation with Neumann Boundary Condition on a Circle Solve by using series representation and summing the series to get a Poisson integral formula for this Neumann boundary condition problem.

  • The non-homogeneous heat equation

    Any homogenous heat equation with non-homogenous Dirichlet\Neumann boundary conditions can be easily converted to a non-homogenous heat equation with homogeneous Dirichlet\Neumann boundary conditions.

  • Green's Function and Spherical Harmonics

    ) Since there is no excess free charge we have Since this is Green's function with Dirichlet's boundary condition, on we have On the surface we have Hence equation (1.4) becomes, with the help of (1.3),: (1.5) where we used the area

  • Two-Dimensional Wave Equation

    Solve the two-dimensional wave equation for a quarter-circular membrane [see the attachment for the full equation] The boundary condition is such that u=0 on the entire boundary. 3.

View More Related Solutions