Title of article
A Radial Basis Function Collocation Method for Space-dependent Inverse Heat Problems
Author/Authors
Ahmad, Hijaz Department of Basic Sciences - University of Engineering and Technology Peshawar 25000, Pakistan , Nawaz Khan, Muhammad Department of Basic Sciences - University of Engineering and Technology Peshawar 25000, Pakistan , Ahmad, Imtiaz Department of Mathematics - University of Swabi 23430 - Khyber Pakhtunkhwa, Pakistan
Pages
13
From page
1187
To page
1199
Abstract
In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse
space-wise dependent heat source problems. Multiquadric radial basis function is applied for spatial discretization whereas for
temporal discretization Runge-Kutta method of order four is employed. Numerical experiments for one, two and threedimensional
cases are included to test the efficiency and accuracy of the suggested method. Both non-rectangular and
rectangular geometries with uniform and non-uniform points are taken into consideration and the obtained results are compared
with the exact as well as with the techniques presented in recent literature.
Keywords
Non-rectangular domains , Non-uniform nodes , Inverse heat source problem , Radial basis function , Meshless method
Journal title
Journal of Applied and Computational Mechanics
Serial Year
2020
Record number
2529857
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