How to Numerically Solve a 1D Heat Equation ? ( MATLAB Script in Description)

[@J-Stew_64]

Best video on the subject good job man

[@matlabtricks5944]

Very good video, the best I've seen on the topic, deserves more views!

[@praveenkumarch4566]

Thank you.

[@and_i_wonder_if_you_kow_wh7114]

Awesome video! I was looking for a more general version with a source function g.

[@arts5852]

Good job 👍. Your script is perfect

[@k.l.9743]

Good video! Can you make a video of this problem with a second and third order boundary condition in spherical coordinates? It would be an interesting approach for the heat conduction

[@mobinnurzad3592]

nice. how can I implement the same problem but on one end with neumann B.C dt/dx=0 at x=o

[@lailatulmaghfiroh8337]

Please help me sir I don't understand how to change the program, for example, the initial temperature of the rod is 25oC I'm working on my final project and need to know about it Thank you

[@altynaym1942]

Hey, did you get how to do it?

[@TheTechHans]

In the matlab script the Array T is the temperature at nodes. T[0] is temperature at zeroth node... Initially temperature at all nodes is zero except at end nodes., Where it is 100. As time progresses the T is updated. For giving 25 deg as initial condition put T[2:end-1]=25 The above line should be added after the line, "T=zeros(1,nx) ;" in the script. ;

[@Zebrox_Editz]

That's a nice video Where we use the 1D diffusion eq on it application or for what purpose?

[@praveenkumarch4566]

This equation models the physical phenomenon of diffusion, I mean spreading of a particular parameter (dependent variable) from higher concentration zones to lower concentration zone. Here I took an example of heat Diffusion,the parameter is temperature. We can also model diffusion of ink in water, then the parameter will be concentration of ink.

[@devendranama9424]

How to solve the equation if it contains the source term as well?

[@elihunyemah8573]

thanks ever so much it was nice script. but does it work for this du/dt=k, d2u/dx2 u(x,t=0)=h(1-(x/l)square) u(x-l)-u(x=-l)-0

[@TheTechHans]

Thank you. This equation is a generalized 1D diffusion equation: (du/dt)=k* (d2u/dx2) Heat equation is also a Diffusion equation. So you can use the same Numerical Strategy as explained in this video. You need to modify the Matlab Script so that the initial conditions, Coefficient - "k" , and the end conditions are implemented as per the given data.

[@elihunyemah8573]

@@TheTechHans I send you an email can you respond pls. I did send it to the email address on KZbin.

[@AnandSingh-rz5sv]

Good keep it up

[@johnlesterbagongon8628]

how do I update the time step?

[@praveenkumarch4566]

See 3:53

[@priyeshpandey100]

hello dear..do u paidwork ?

[@TheTechHans]

Yes I do work for pay. It depends on the kind of work, pay and time schedules.

[@am-bt8xq]

Thanks sir, can you send me your mail please ?

[@am-bt8xq]

@@TheTechHans are sure that's the right mail ?