MaplePrimes - Maple Posts and Questions

Insert Table Maple 2026

Ronan — Sat, 18 Apr 2026 22:16:12 Z

Insetr Table seems to default too test inpul in the cells. I am inserting it from this icon

I can't figure out how to change the whole table to 1d or 2d math input without individually changing each cell..

What am I misssing here?

Can pdsolve handle a procedure in the pde?

wingho — Fri, 17 Apr 2026 17:46:14 Z

pdsolve is capable of numeric solution for a 1-D standing wave equation with a constant c:

diff(u(x, t), t, t) = c^2*diff(u(x, t), x, x)

In my problem, c is a function of lambda; both c and lambda has a common parameter H. My problem has piecewise nonlinear function of c(H) and lambda(H) which cannot be reformulate as c(lambda) readily. I therefore use a procedure based on fsolve to enter lambda and back out c. In the example, I use piecewise linear function as demonstration. I ran into a "(in fsolve) Can't handle expressions with typed procedures" error.

If I can overcome this, my input to the procedure also includes du/dx. Can pdsolve handles such an equation?

Issue with implicitplot

omkardpd — Fri, 17 Apr 2026 16:30:36 Z

Hi,

I am trying to generate an implicitplot command for a plot of two variables. The dummy code is as follows:

implicitplot([f1(x,y)=1, f2(x,y)=1, f3(x,y)=1], x=x1..x2, y=y1..y2, axes = boxed, view = [x1..x2, y1..y2], color=[yellow, green, black, khaki, magenta, green], linestyle=[solid, dash, dot, dashdot, longdash, spacedot], thickness=[2, 2, 2, 2, 2, 2], coloring=["SteelBlue", "DarkGreen", "Brown"], labels = [x, y], labeldirections=[horizontal, vertical], labelfont = ["TIMES New ROMAN", 13], legend = ["txt1", "txt2", "txt3"]);

The expressions f1(x,y), f2(x,y), and f3(x,y) are complex in form, and they are defined separately.

For some instances, I get the implicitplot output. However, for many choices of x1 and x2, and y1 and y2, I get the following error message "`[Length of output exceeds limit of 1000000]`". I tried many options to fix the issue, e.g., using the options gridrefine=0, crossingrefine=0, grid=[50,50], numpoints=1000. No luck yet!

I would appreciate your input to resolve the issue.

Regards,

Omkar

Shortcut to enter colon-dash?

C_R — Thu, 16 Apr 2026 10:26:20 Z

The command completion facility is real time saver. On the other hand, entering the colon dash is not fluent since it requires searching the keys on the key board.

I was wondering if there is a keyboard shortcut that enters both characters at once.

How to add exponent patterns for inverse Laplace transform

Honigmelone — Wed, 15 Apr 2026 12:38:39 Z

I want to add this rule to maple invlaplace:

invlaplace(Divide[exp(-s*a),b*Power[s,2] +c)]) - Wolfram|Alpha

It works on expressions that use "exp(-s*a)" but not on expressions with "e^(-s*a)". I do not know how to force maple to substitute the expressions and I do not know how to formulate this rule to make it stable. I need this functionality since maple returns results with e^(...) instead of exp(...). Can you please help me? I have attached a workbook example.

>	restart;with(inttrans)

(1)

>	addtable(invlaplace,exp(-sa)/(bs^2+c),Heaviside(t - a)sin(sqrt(c)(t-a)/sqrt(b))1/(sqrt(b)sqrt(c)),s,t,a,a::positive)

>	addtable(invlaplace,e^(-sa)/(bs^2+c),Heaviside(t - a)sin(sqrt(c)(t-a)/sqrt(b))1/(sqrt(b)sqrt(c)),s,t,a,a::positive)

>	assume(a_pos::positive)

>	invlaplace(exp(-sa_pos)/(bs^2 + c), s, t)

(2)

>	invlaplace(e^(-sa_pos)/(bs^2 + c), s, t)

(3)

>	algsubs(e^=exp,e^c)

Error, symbol unexpected

Download inttrans_exponent_question.mw

Thanks!

edit: simplified example

Numerical evaluation of a complex integral solution

Paras31 — Mon, 13 Apr 2026 22:44:18 Z

Consider a soil moisture transport problem with parameters: a = 9.88\times10^{-5} m/s, b = -0.0065\ m³/m³, and D = 3.51*10^{-7} m²/s. The length is L=0.08 m, and no-flux (outflow) is assumed, meaning q=0. In this case θ₀= 0.355$ and θL = 0.10.

A solution is expressed as a contour integral involving a complex-valued function V(k,x,t) and evaluated numerically in Maple using parameterized contours k1(r),k2(r),k3(s).

However, when this code is executed, Maple takes an extremely long time and appears to run indefinitely.

Could you suggest an alternative numerical or analytical approach ( that could improve efficiency when evaluating this type of contour integral?

a := 988/10000000;
b := -65/10000;
d := 351/1000000000;
q := 0;
theta0 := 355/1000;
thetaL := 1/10;
L := 8/100;
mu := a*(theta0 + b)/d;
c := a*(thetaL + b)/d;

mu := a*(theta0 + b)/d;
c := a*(thetaL + b)/d;

V := 1/(2*Pi)*exp(-d*k^2*t)*((exp(k*x*I)(mu - k*I) - exp(-mu*L)*exp(k*(L - x)*I)*(mu + L*I))*k*cos(k*L)/(k^2 + mu^2) + c*sin(k*L) - exp(k*L*I)(k*I + c)*sin(k*x)*(1 - exp(-mu*L)*exp(-I*k*L))/(mu + k*I) - (k*cos(k(L - x)) + c*sin(k(L - x)))*(1 - exp(-mu*L)*exp(k*L*I))/(mu - k*I) + 2*I*k*d*(k*cos(k(L - x)) + c*sin(k(L - x)))/(d*k^2 + a*q/d))/(k*cos(k*L) + c*sin(k*L)):

l := 5;
k1 := r -> l + I + r*exp(1/6*I*Pi);
k2 := r -> -l + I + r*exp(5/6*I*Pi);
k3 := s -> s + I;

dk1 := D(k1);
dk2 := D(k2);
dk3 := D(k3);

integrand1 := Re(eval(V, k = k1(r))*dk1(r) + eval(V, k = k2(r))*dk2(r));
integrand3 := Re(eval(V, k = k3(s))*dk3(s));
integrand2 := simplify(evalc(integrand1));

integrand4 := simplify(evalc(integrand3));
approx_u := proc(x, t) local temp1, temp2; temp1 := Int(eval(integrand2, [:-x = x, :-t = t]), r = 0 .. infinity, method = _d01amc); temp2 := Int(eval(integrand4, [:-x = x, :-t = t]), s = -L .. L, method = _d01ajc); evalf(temp1 + temp2); end proc;