The Solution of Heat Equation in One Dimensional using Matlab

Abdel Radi Abdel Rahman Abdel Gadir; Nedal Hassan Elbadawy; Ragaa Mohammed Haj Ibrahim

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P512

The Solution of Heat Equation in One Dimensional using Matlab

Abdel Radi Abdel Rahman Abdel Gadir, Nedal Hassan Elbadawy, Ragaa Mohammed Haj Ibrahim

Citation :

Abdel Radi Abdel Rahman Abdel Gadir, Nedal Hassan Elbadawy, Ragaa Mohammed Haj Ibrahim, "The Solution of Heat Equation in One Dimensional using Matlab," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 110-117, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P512

Abstract

We discuss and explain the solution of elementary problems in solving partial differential equation, the kinds of problems that arise in various fields of sciences and engineering. This study aims to solve the heat equation in One dimensional using the Matlab. We followed the applied mathematical method and found the following results: Solving heat equation using Matlab is best than manual solution in terms of speed and accuracy and possibility of drawing surface and curve for heat equation using Matlab.

Keywords

Solution , Heat Equation , Matlab ,Dimension

References

[1] David Mc. Mohon, Matlab Demystified, Mc Graw. Hill companies, 2007.
[2] Mark. Cocken bach, Matlab toutorial to accompany, partial differential equations analytical and numerical methods, 2nd edition, siam 2010.
[3] Math works, Matlab the language of technical computing fourth printing, 2001.
[4] Michaed k. keane, partial differential equations, hall uppers saddle river new jersey, untied states.
[5] P. Howard, partial differential equation in Matlab, 2010.
[6] T. Hillen . I .E. leonard. H van roessel, partial differential equations theory and completely solved problems, first edition, john wiley & sons, Canada, 2012.