## 355 Reputation

11 years, 314 days

## typo......

While pasting the question, I made this mistake.

thx

## typo......

While pasting the question, I made this mistake.

thx

thx

thx

## works fine.......

I am using Maple 16, and its working.

## works fine.......

I am using Maple 16, and its working.

## not much but.......

Numerical Calculations Using Maple: Why & How?

Numerical_Calculatio.pdf

acer is right about its 3rd party origin.

http://arxiv.org/pdf/chao-dyn/9812029v1.pdf

Anyway thx.

## not much but.......

Numerical Calculations Using Maple: Why & How?

Numerical_Calculatio.pdf

acer is right about its 3rd party origin.

http://arxiv.org/pdf/chao-dyn/9812029v1.pdf

Anyway thx.

## source term...

As you have mentioned that the best way (with which I agree) is to have a source term

(heat generation source) in the heat equation.  For example,

(rate of energy accumulation)   =    (rate of energy in by conduction and (or) convection)
+ (rate of heat generation)
In your case, you are only considering conduction (I guess it from the heat equation you
considered), then
(rate of energy accumulation)   =    (rate of energy in by conduction) + (rate of heat
generation)
which then in mathematical form will be
alpha*diff(T(x,t),t) =  diff(T(x,t),x\$2) + h(x,t),

where h(x,t) is the source term (heat energy per unit volume per unit time).

As for as I know, you can think of

1. h(x,t) can be assumed to be constant, say h=1,2,3,

2. h(x,t) can assumed to be time dependent only, i.e, h(t),

3.  h(x,t) can be assumed to be position dependent, i.e, h(x),

4.  h(x,t) can be assumed to be both time and position dependent, i.e. h(x,t) = t*exp(x),

or h(x,t) = t* sin(x)

Now it depends on you, which one is more suitable for your problem.

Thanks

## set/list...

I am getting an error that I must enter the system as a set/list.

dsolve(eval({eq2 union bc}));

thx

## set/list...

I am getting an error that I must enter the system as a set/list.

dsolve(eval({eq2 union bc}));

thx

## visual approach???...

It seems that, the author adopted the visual approach for presenting their results.

As you can see that when N is much smaller than the one they mentioned in the paper

(N=infinity=9), the results are visually more attractive.

Thanks

## visual approach???...

It seems that, the author adopted the visual approach for presenting their results.

As you can see that when N is much smaller than the one they mentioned in the paper

(N=infinity=9), the results are visually more attractive.

Thanks

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