This study operates the Gradient Method to control the leading coefficient function of a heat equation and presents a Maplet Application which facilitates the computation of control function. The control is heat conductivity function and this function is controlled by aiming the desired value approximation of final heat. After mentioning the existence and uniqueness of the control, the application is submitted by MAPLE mathematical software program and the results are tested on a problem.
The author declares no conflicts of interest.
Not applicable.
This study operates the Gradient Method to control the leading coefficient function of a heat equation and presents a Maplet Application which facilitates the computation of control function. The control is heat conductivity function and this function is controlled by aiming the desired value approximation of final heat. After mentioning the existence and uniqueness of the control, the application is submitted by MAPLE mathematical software program and the results are tested on a problem.
Primary Language | English |
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Subjects | Numerical Solution of Differential and Integral Equations, Mathematical Optimisation, Applied Mathematics (Other) |
Journal Section | Articles |
Authors | |
Publication Date | June 28, 2024 |
Submission Date | May 7, 2024 |
Acceptance Date | June 22, 2024 |
Published in Issue | Year 2024 Volume: 25 Issue: 2 |