MapleFans001

5 years, 195 days


These are questions asked by MapleFans001

when calculating the following equations

int( exp(t*int( (m/2*(diff(x, t))^2-exp(x)), t)), x)

maple give

-Ei(1, t^2*exp(x))

what is Ei? how to show result normally?

i follow

http://www.maplesoft.com/applications/view.aspx?SID=4706

and edit existing code to solve a equation and got some questions and error, How to solve pde with finite difference in maple?

r := 0.03;
K := 20;
Smax := 20;
T := 1;
ex1 := diff(y(x,t), t) + r*x*diff(y(x,t), x) + 1/2*sigma^2*x^2*diff(y(x,t), x$2) + x*diff(y(x,t), x)*diff(y(x,t), t) = r*y(x,t);

bc1 := y(0,0)=K*exp(-r), y(Smax,0)=0;
a := 0;
b := 1;
N := 10;

ex1 := {
evalDG( d(x) = w1*e1 + w2*e2),
evalDG(d(e1) = w12*e2 + w13*e3),
evalDG(d(e2) = -w12*e1 + w23*e3),
evalDG(d(e3) = -w13*e1 - w23*e3)
};
ExteriorDerivative(ex1);


> ex1 := {evalDG(d(e1) = w12*e2+w13*e3), evalDG(d(e2) = -w12*e1+w23*e3), evalDG(d(e3) = -w13*e1-w23*e3), evalDG(d(x) = w1*e1+w2*e2)}; ExteriorDerivative(ex1);
{d(e1) = w12 e2 + w13 e3, d(e2) = -w12 e1 + w23 e3, d(e3) = -w13 e1 - w23 e3,

  d(x) = w1 e1 + w2 e2}

Could you give examples of differentiate differential form or integrate differential form using maple?

k := 1:
alpha := vector([x*cos(theta), x*sin(theta), k*x]);

e1 := map(diff, alpha, theta);
e2 := map(diff, alpha, x);

G := matrix([[simplify(e1[1]^2 + e1[2]^2 + e1[3]^2), 0],[0, simplify(e2[1]^2 + e2[2]^2 + e2[3]^2)]]);

inv_e1 := evalm(1/G[1,1]*e1);
inv_e2 := evalm(1/G[2,2]*e2);

e11 := map(diff, e1, theta);
e12 := map(diff, e1, x);
e22 := map(diff, e2, x);

gamma_1_11 := simplify(evalm(e11&*inv_e1));
gamma_1_12 := simplify(evalm(e12&*inv_e1));

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