Finite difference Definition and 117 Threads

To the moderator: please move this to the section on differential equations if you think it would be better there. I'm looking at a reaction-diffusion equation of the form \frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2} + f(u), where, e.g., f(u) = u(1-u) for the...

Nodal Method?? What's the benefit of using Nodal method instead of finite difference method in solving a diffusion problem?

how can i develope second order Fromms difference scheme by using these points: (i-2, i-1, i , i+1) Please help me.

Hello, I'm currently doing some research comparing efficiency of various programming languages. Being a user of Matlab, Mathematica, and Excel, c++ is definitely not my forte. I was wondering if anyone might know where I could find a simple, standalone code for solving the 1-dimensional heat...

Hi all. Can someone briefly explain the difference between finite difference methods and spectral methods? What are their principles? And what is pseudo-spectral method?

1) Using a similarity variable, the boundary layer equations for a two-dimensional, incompressible flow over a flat plate can be written below: 2f'''+ff''=0 The boundary conditions are: a) f ' (0) = 0, no slip at the wall b) f(0)=0, solid wall c) f ' (n) goes 1 as n goes infinity...

1) Using a similarity variable, the boundary layer equations for a two-dimensional, incompressible flow over a flat plate can be written below: 2f'''+ff''=0 The boundary conditions are: a) f ' (0) = 0, no slip at the wall b) f(0)=0, solid wall c) f ' (n) goes 1 as n goes...

computer engineering and mathematics,do you understand both of them?if u understand pls meet me.ı have a homework contains MATLAB course.ı can not write a program

:confused: my question y''(t)=-exp(-2t)+5y(t) accuracy on 5*10^(-3) by finite difference method and this question's MATLAB program. is there anyone who can do it ? it is very important for me.ı can not do and write a program in matlab.ı am a student ,my department is mathematics but ı can not...

I am curious to know if anyone has a program that will solve for 2-D Transient finite difference I have an assignment in a heat transfer class and I am supposed to use Matlab to solve for this. The governing equation (given in the attachement) is to solve using finite difference method using...

Difference Equation Hello, can anyone offer any insight on this equation? . I am very very rusty on solving this type of equations. a_{n+1} - a_{n} = n^2

Hello there...I'm currently stuck with a problem regarding finite differences. The question asks for me to come up with an equation to find the constant of the finite difference. An example would be...Let's take the equation y=10x^4 and the constant is 240. Any hints as to where to start or...

We have been given a program that can solve the following equation using finite difference methods: - \epsilon \left( \frac{\partial^2 \phi}{\partial x^2} + \frac{\partial^2 \phi}{\partial y^2} \right) - \frac{\partial \phi}{\partial x} = \sin \left(\pi y\right) \quad x,y \, \in \, (0,1) This...

I am finding (▲^2 - x▲)(x^3). I hope I am correct here... (▲^2 - x▲)(x^3) = ▲^2(x^3) - x▲(x^3) = ▲▲(x^3) - x( (x+1)^3 - x^3 ) = ▲( (x+1)^3 - x^3 ) - x( (x+1)^3 - x^3 ) = (x+2)^3 - (x + 1)^3 - (x+1)^3 +...

I am trying to find the ▲cos x. By using its definition. It simply turned out to be cos(x+1) - cos(x). How do I express this in terms of sine? (and as only one term)?

Hi, I am in an undergrad numerical analysis course. Our instructor lectured on some material not found in the book. Specifically, he talked about a way to check stability of finite differencing schemes (for PDE) by studying how each Fourier mode evolves in time. Then you can find an...

I am curious to know if anyone has a program that will solve for 2-D Transient finite difference. I have a project in a heat transfer class and I am supposed to use Matlab to solve for this. However, when I took the class to learn Matlab, the professor was terrible and didnt teach much at...