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0answers
52 views

AUTO Software for ODE's: references or forums?

I'm learning the AUTO software that does numerical continuation of ODE's by following these two references: The official manual found here www.dam.brown.edu/.../auto07p.pdf Lecture notes found at ...
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votes
1answer
2k views

Finding matrix inverse by Gaussian Elimination With Partial Pivoting

Hello guys I am writing program to compute determinant(this part i already did) and Inverse matrix with GEPP. Here problem arises since i have completely no idea how to inverse Matrix using GEPP, i ...
1
vote
1answer
72 views

How do I show that the limit is to the 600th places and is it too hasty to take the limit?

I am a little unsure about (b) and (d) For (b), is it appropriate to just take the limit directly? (do I have to show that the sequence is bounded and monotone?) from $x_{n+1} = ...
2
votes
0answers
132 views

Numerical Integration

For $r=1$, how to calculate the following integral numerically. $$\frac{8}{\sqrt{3}r^2}\int_{x=0}^{\frac{r}{2}}\int_{y=0}^{\sqrt{3}(\frac{r}{2}-x)}\prod_{i=0}^2\left(1-\frac{2}{\pi} \cos^{-1} ...
0
votes
2answers
167 views

Intersection of the graphs of two functions

Let $$f(x)={x^3-14x^2+7x+203\over(x-3)(8-x)}$$ I want to find the two solutions of $$f(x)f''(x)=(f'(x))^2,\qquad3\le x\le8$$ This is the first time i am using maple, and i cannot get the graph to ...
1
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2answers
239 views

Numerical solution of the Dirichlet problem for unit circle in two dimensions

How to approach the problem using integral equations and solve it with numerical methods in matlab? Are there any tutorials with code for begginers?
2
votes
1answer
133 views

Convergence and precision of root-seeking programs

How might I find a root-seeking program's "order of convergence"? For an iteration program, how might I examine the effect of the rounding-error? (If MATLAB displays the iterates to 4 d.p., does that ...
0
votes
1answer
697 views

Solving system of linear and non-linear equations?

My system of equations have both linear and non-linear equations but not quadratic or cubic or equations having variable degree more than one. example : ...
3
votes
2answers
9k views

Implement a program in Matlab for LU decomposition with pivoting

I need to write a program to solve matrix equations Ax=b where A is an nxn matrix, and b is a vector with n entries using LU decomposition. Unfortunately I'm not allowed to use any prewritten codes in ...
3
votes
1answer
1k views

Numerically Solving a Second Order Nonlinear ODE

Okay, I have this not so pretty 2nd order non-linear ODE I should be able to solve numerically. $$f''(R) + \frac{2}{R} f'(R)=\frac{0.7}{R} \left( \frac{1}{\sqrt{f(R)}} - \frac{0.3}{\sqrt{1-f(R)}} ...