1
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0answers
86 views

Solving the General Equilibrium with $4$ equations and $4$ unknowns

I have to solve four equations to solve the equlilibrium prices for the two countries: $\frac{2p_1}{w_1} + \frac{p_1}{w_2}= \frac{48w_1^2 + 4p_1^2+p_2^2}{8p_1w_1}+ ...
-1
votes
1answer
54 views

IVP computer code stuff

I need help with this following problem: Write maple code to solve numerically the initial value problem $\frac{dy}{dt} = g(t)=\int_{0}^{t}f(x) dx$ and $y(0)=0$. a) Use numerical ...
1
vote
1answer
63 views

How to use any function interpolation method to create two functions …

I need help desperately on this. I have been working on it for a while. Use any function interpolation method studied in the course to create two functions $x(t)$ and $y(t)$ on $0 ≤ t ≤ 1$ so ...
1
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2answers
171 views

Newton's method to solve a system of equations

I have a system of equations: $x_1^3 + x_1^2x_2 -x_1x_3 + 6 = 0$ $e^{x_1} + e^{x_2} - x_3=0$ $x_2^2 - 2x_1x_2 = 4$ and the question asks me to evaluate the left hand side of the equations at my ...
1
vote
3answers
100 views

two fixed point problem

The function $f$ given by $f(x)=x^{x - sin(x)}$ has a fixed point at 1 and another fixed point near 2. If the I want to estimate fixed pt near 2 using a graph of the function, then: This is what ...
1
vote
1answer
104 views

Halley's method

Halley's method uses a quadratic Taylor approximation and results in a fixed point method of order $3$: $$ x_{n + 1} = x_{n} - {{\rm f}\left(x_{n}\right) \over {\rm f}'\left(x_{n}\right)}\, \left[% ...
0
votes
4answers
157 views

How many digits of Pi…

In maple, how do I calculate the digits of Pi with only using a few seconds of computation time? I'm thinking evalf(Pi) But how do I know how much time the computer takes to give out the ...
0
votes
1answer
106 views

Solving Poisson Equation Finite-difference using maple

How do I solving Poisson Equation Finite-difference using maple consider Poisson equation $$\frac{\partial^2u}{\partial x^2} (x,y)+ \frac{\partial^2u}{\partial y^2} (x,y) = x*e^y$$ $0<x<2$ ...
0
votes
1answer
125 views

Problem concerning Numerical Solutions of Nonlinear Systems of Equations (Burden and Faires)

I need help with this particular question: The nonlinear system $3x_1 - \cos (x_2 x_3) - \frac{1}{2} = 0$ $x{_1}^2 - 625x{_2}^2 - \frac{1}{4}=0$ $\exp ^{-x_1x_2} + 20x_3 + \frac{10\Pi -3}{3}=0$ ...
3
votes
1answer
301 views

Laguerre polynomials and least squares polynomial

A similar question from Orthogonal polynomials and Gram Schmidt says: Use the Laguerre polynomials, i.e, $L_1(x)=x-1$,$L_2(x)=x^2-4x+2$, and $L_3(x)=x^3-9x^2+18x-6$, to compute the least squares ...
0
votes
1answer
247 views

Application of the Backward Euler method to the DE …

I'm having trouble solving this question below and would like to have some help: Apply the Backward Euler method to the differential equation: $y' = -20y + 20\cos (t) - \sin (t)$, $0\leq t\leq 2$, ...
0
votes
1answer
116 views

Runge-Kutta-Fehlberg Method Problem

Suppose all infected individuals remained in the population to spread the disease. A more realistic proposal is to introduce a third variable $z(t)$ to represent the number of individuals who are ...
0
votes
1answer
104 views

Hermite Integration problem 1

Hey I am trying to calculate this problem of Hermite polynomial by hand, but I think it's way easier to do on Maple, so can anybody help me write the Maple code: Let $f(x) = 3xe^x - e^2x$. a) ...
1
vote
1answer
187 views

Problem with Newton's Method

I am trying to solve this problem: Use Newton's method to find the intersection points of the two circles defined by $$x^2 + y^2 = 2, \quad (x-1)^2 + (y+1.5)^2 = 1.$$ I used this code in ...
1
vote
1answer
275 views

Numerical values of the Jacobi elliptic function sn: Wolfram Alpha vs. Maple vs. C++?

I have a problem to check the validity of an algorithm I've implemented in C++ to compute the Jacobi elliptic function $\mathrm{sn}(u, k)$ (inspired and improved from Numerical Recipes 3rd edition). I ...
0
votes
2answers
278 views

Using Maple to numerically find the unique extremum (“turning point”) of a given function

Given $$ f(x) = 5\sin\left(\frac14 x^4\right) -\sin\left(\frac12 x\right)^4 $$ Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, I've got to get ...
1
vote
1answer
89 views

how to solve the Blasius problem using gegenbauer in maple?

The steady, laminar, incompressible, viscous flow over a semi-infinite flat plate can be expressed by the following boundary value problem ${\partial u \over\partial x}+{\partial v\over\partial y}=0$ ...
2
votes
1answer
178 views

Numerical solution of fractional integro-diffrential equ. using collocation method?

problem comes from "Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan" ...
1
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3answers
296 views

how to solve kawahara equation?

the numerical solution to a problem involving a nonlinear partial differential equation of the form below $u_t + uu_x + u_{3x} − u_{5x} = 0$ $u(x, 0) = f (x) , x ∈ R$ which is called Kawahara ...
0
votes
0answers
96 views

How can I use rationalized haar functions to solve differential equations?

How can I use rationalized haar functions to solve differential equations? I do not have any idea what are haar functions and how to use them please help!
1
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1answer
436 views

Lagrange Coefficients in Maple

I'm trying to compute Lagrange coefficients in Maple. Having found the $n$ roots of a Lagrange polynomial, I want to calculate the $j$-th coefficient: $$L_j(x) = \prod_{{i=0}\atop{j \neq ...