Wikipedia

Differential equation

Relatit pages: pairtial differential equation an ordinary differential equation

A differential equation is a mathematical equation that relates some function wi its derivatives.

Veesualisation o heat transfer in a pump casing, creatit bi solvin the heat equation. Heat is bein generatit internally in the casin an bein cuiled at the boundary, providin a steady state temperatur distribution.

Saftware

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References

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  1. ↑ https://www.maplesoft.com/support/help/Maple/view.aspx?path=dsolve
  2. ↑ Betounes, D. (2013). Differential Equations: Theory and Applications: With Maple®. Springer Science & Business Media.
  3. ↑ Quarteroni, A., Saleri, F., & Gervasio, P. (2006). Scientific computing with MATLAB and Octave. Berlin: Springer.
  4. ↑ Gander, W., & Hrebicek, J. (Eds.). (2011). Solving problems in scientific computing using Maple and Matlab®. Springer Science & Business Media.
  5. ↑ Barnes, B., & Fulford, G. R. (2011). Mathematical modelling with case studies: a differential equations approach using Maple and MATLAB. Chapman and Hall/CRC.
  6. ↑ Wouwer, A. V., Saucez, P., & Vilas, C. (2014). Simulation of Ode/Pde Models with MATLAB®, OCTAVE and SCILAB: Scientific and Engineering Applications. Springer.
  7. ↑ Houcque, D. (2008). Applications of MATLAB: Ordinary differential equations (ODE). Robert R. McCormick School of Engineering and Applied Science-Northwestern University, Evanston.
  8. ↑ Shampine, L. F., & Reichelt, M. W. (1997). The matlab ode suite. SIAM Journal on Scientific Computing, 18(1), 1-22.
  9. ↑ Ashino, R., Nagase, M., & Vaillancourt, R. (2000). Behind and beyond the MATLAB ODE suite. Computers & Mathematics with Applications, 40(4-5), 491-512.
  10. ↑ Baumann, G. (2013). Symmetry analysis of differential equations with Mathematica®. Springer Science & Business Media.
  11. ↑ Abell, M. L., & Braselton, J. P. (2016). Differential equations with Mathematica. Academic Press.
  12. ↑ Gray, A., Mezzino, M., & Pinsky, M. A. (1997). Introduction to ordinary differential equations with Mathematica: an integrated multimedia approach. Springer.
  13. ↑ Ross, C. C. (2013). Differential equations: an introduction with Mathematica®. Springer Science & Business Media.
  14. ↑ http://doc.sagemath.org/html/en/tutorial/tour_algebra.html
  15. ↑ Zimmermann, P., Casamayou, A., Cohen, N., Connan, G., Dumont, T., Fousse, L., ... & Thiéry, N. M. (2018). Computational mathematics with SageMath. Society for Industrial and Applied Mathematics.
  16. ↑ http://www-fourier.ujf-grenoble.fr/~parisse/giac/cascmd_en.pdf

Researchers

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