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Questions tagged [maple]

Questions about the computer algebra system Maple.

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0answers
32 views

Maple: patmatch does not identify patterns inside diff() operator

I understand that the function applyrule uses patmatch to identify patterns and apply transformations accordingly. Suppose, I ...
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1answer
179 views

solution of system of coupled partial differential equations [closed]

I have following system of coupled Partial differential equations. How can I solve the system by Maple? \begin{align} m_1\frac{\partial^2 u_1}{\partial t^2}+A_1\frac{\partial ^4u_1(x,t)}{\partial x^...
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2answers
141 views

How to deal with big numbers in intermediate calculations?

I have a rather long expression (https://pastebin.com/jUsxdCCs) that is an analytical solution of a set of differential equations generated symbolically from Maple. I need to solve a set of equations ...
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1answer
91 views

Symbolic convex analysis toolkit for Maple

I'm looking for the SCAT (Symbolic convex analysis toolkit) for Maple written by Hamilton and Borwein. I have seen some references in the specialized literature than mention some urls. However, the ...
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1answer
194 views

How to increase precision of Gauss-Legendre Quadrature in MAPLE? [closed]

I've written a simple legendre quadrature in MAPLE to compute the integral $\int_{-1}^1 r^2 dr = \frac{r^3}{3} |_{-1}^1=\frac{2}{3}$ ...
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1answer
1k views

Solving Time dependent Schrodinger equation using MATLAB ode45 [closed]

The Schrodinger equation for time-dependent Hamiltonian is $$i\hbar\frac{d}{dt}\psi(t) = H(t)\psi(t) \, .$$ I try to implement solve the Schrodinger equation for time-dependent Hamiltonian in ODE ...
3
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1answer
425 views

Defining Cauchy principal value in MATLAB (or Scilab/Maple)?

How to define a variable which is an integral involving cauchy principal value inside in any computer programming language? I want to know how to break down the procedure step by step from a ...
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0answers
80 views

Error norm in maple

I have the function $cos(x+t)$; the following PDEs have $cos(x+t)$ as the analytical solution of them: $$u_t = u_{xx} -\sin(x+t) + \cos(x+t) \\ u_x(0,t)=-\sin(t) \\ u_x(1,t)=-u(1,t)^4-\sin(1+t)+\cos^...
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2answers
264 views

Looking for a matlab/maple code for plotting the truncation error

On page 18 on this text: http://www.dima.uniroma1.it/users/lsa_adn/MATERIALE/FDheat.pdf , the graph in figure 8 on this page, how would I write a suitable code in matlab or maple that will produce ...
10
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3answers
675 views

Benchmarks for Gröbner bases and polynomial system solution

In the recent question Solving system of 7 nonlinear algebraic equations symbolically, Brian Borchers experimentally confirmed that Maple can solve a polynomial system that Matlab/Mupad cannot handle. ...
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0answers
55 views

CAS Problem with integrals

I got this problem thrown at me, unfortunately I lack context at the moment but I thought Maple or Mathematica would solve it anyways. I have a function $f$ over $x$ and $y$ such as this (Maple) <...
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1answer
117 views

Solving differential equations in MAPLE (ballistic curve problem) [closed]

TASK: Make a simple animation of an object shot from a catapult. Object is moving through a medium. The problem must be solved in MAPLE. NARROWING OF THE PROBLEM: 2D problem consider atmospheric ...
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0answers
81 views

Bracket Algebra, Straightening Algorithm

My apologies if the question is simple. I need to write a code for straightening algorithm. Which includes defining bracket algebra. I tried to write it in CoCoA-5, but it wasn't possible because ...
2
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2answers
3k views

Determine unit outward normal vector for a curve

It is necessary for me to find the unit outward normal vector for the curve: $$\gamma=(x(t),y(t)) $$ where $$x(t)=\cos(t)−0.5\cos(3t)$$ and $$y(t)=\sin(t)+\sin(7t)+\sin(3t)$$ I know how to find ...
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1answer
64 views

Maple stored variable to be read into Matlab

I have a a function $f(k)$ (calculated in Maple) which is huge and stored in a variable called 'sum' on my drive (with the help of 'save' command in Maple). Since the function is huge, Maple is unable ...
2
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1answer
79 views

Solving a pair of high-degree polynomials in two variables with Maple

I have two algebraic equations I am trying to solve in Maple. They are: $14\,{a}^{26}{b}^{2}-91\,{a}^{24}{b}^{4}-364\,{a}^{22}{b}^{6}-1001\,{a} ^{20}{b}^{8}-2002\,{a}^{18}{b}^{10}-3003\,{a}^{16}{b}^{...
3
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2answers
439 views

Open source linux Maple Worksheet Interpreter/Converter?

I bought a book where the exercises are given in Maple worksheet format (.mw). Is there an open-source software in Linux able to interpret or to convert this specific file format ?
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1answer
878 views

Symbolic Computations with Block Matrices in Maple

Due to the derivation of an algorithm I tried to use Maple (9.5) to calculate some block matrix expression. Unfortunately Maple seems to ignore the assumption I set on the variable. Lets consider the ...
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1answer
893 views

Explicit scheme for heat equation with Neumann boundary conditions in Maple

$\displaystyle \frac{\partial u}{\partial t}=\alpha(x,t)\cdot \frac{\partial^2 u}{\partial x^2}+b(x,t)$ $u(x,0)=f(x)$ Initial condition $u_x(0,t)=0$ 2nd type Boundary condition $u_x(1,t)=0$ 2nd ...