Numerical Integration of Equation

strokebow
Messages
122
Reaction score
0
Hi guys,

I am looking to integrate the attached equation using C++.

I was wondering if you could tell me what type of equation it is, and if you could recommend an algorithm to use to solve this (and why)?

I need to use this for 100's of points (m,n) on a grid so a fastish algorithm would be preferred.

Please see attached equation. Your advice and help is much appreciated.
 

Attachments

  • temp.jpg
    temp.jpg
    10.6 KB · Views: 495
Physics news on Phys.org
don't know about no algorithm, but solving it with a computer seems very straightforward.
 
What is i in the expression?
Is it a positive integer or the imaginary number √-1 ?
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

A How to solve simple 2D space-time PDE numerically
Replies
5
Views
3K
A Solve PDE w/ Comsol 5.3: Numerical Solution & Time Evolution
Replies
5
Views
3K
A Numerically solving a transport equation
Replies
3
Views
3K
I Inverting an Equation Containing Elliptic Integrals
Replies
1
Views
2K
I The algorithms involved in finding a solution with numerical methods
Replies
14
Views
3K
I Bernoulli Equation with weird integral
Replies
1
Views
2K
A Memory issues in numerical integration of oscillatory function
Replies
3
Views
1K
A Numerical evolution of Einstein-Boltzmann equations in cosmology
Replies
2
Views
2K
I Few more numerical methods question....?
Replies
7
Views
2K
A Numerical Solution for Complex PDE (Ginzburg-Landau Eqn.)
Replies
31
Views
7K

Hot Threads

Recent Insights

Back
Top