Analytical Solutions Formulated in the Time Domain for Three-Dimensional Heat Diffusion Equation
Round 1
Reviewer 1 Report
The abstract need to improve by the author show more capabilities for the suggested method
The results presentation needs to be in graphical and table forms in terms of numerical results
It is better also to test the method on another existing example that was solved by another analytical method and show the suggested method's performance
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
Please see the attached file.
Comments for author File: Comments.pdf
Author Response
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Author Response File: Author Response.pdf
Reviewer 3 Report
I would suggest the authors present an application of their theory, using basic examples
This paper discusses 2 different strategies to generate solutions for the 3D heat diffusion equation.
The theory is okay but is not proved in the paper, that is, one thing is to generate the solution, and the other is the fact that this solution is correct.
How does this strategy apply to real life? Can it be used for engineering applications?
I would suggest the author select a representative case, possibly with experimental data, and see how this formulation predicts the behavior of the physical system, trying to understand the errors between theory and reality
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
Reviewer 4 Report
Initially, the read of this paper appears very heavy instead of supporting interested topics. It is not a good conduct reporting referencing works without personal comments any.
The paper deals with simulations of items but it is not clear on what kind of data or expertises it concerns.
Add much more linked arguments to facilitate the understooth exercises.
There is novelty any in this survey, I am not favorable for introducing important topic in this general context.
Comments for author File: Comments.pdf
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
Round 2
Reviewer 2 Report
I see that the author made a great effort and fixed all previous issues, which improved the paper and made it ready to be published.
I have no further comments, and I can now recommend the publication of this work.
Reviewer 4 Report
Thank you for taking into consideration the corrections for the submitted manscript. I think you did a good job and the reading became better rapidly.
