Abstract
An efficient CAS helps the user to develop different Symbolic calculus problems, a clear example of this aid consist in the solution of the diffusion equation with and without memories, and its stability analysis working with Maple software package; the software gives the symbolic solution to this problem, but to do it, some basic definitions had to be implemented in the software, the stability analysis was not made automatically by the software, and when the problem was solved the necessity of an automatic solver were found.
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References
Arfken, G.: Mathematical Methods for Physicists. Academic Press, London (1985)
Lightfoot Bird, S.: Transport Phenomena. John Wiley and Sons, New York (2002)
Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series, and Products. Academic Press, London (2000)
Brown, R.C.J.: Complex Variables and Applications. McGraw-hill, New York (2003)
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© 2007 Springer-Verlag Berlin Heidelberg
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Sosa, D.E.S. (2007). Automatic Stability Analysis for a Diffusion Equation with Memories Using Maple. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2007. Lecture Notes in Computer Science, vol 4770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75187-8_29
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DOI: https://doi.org/10.1007/978-3-540-75187-8_29
Publisher Name: Springer, Berlin, Heidelberg
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