A Radial Basis Function Collocation Method for Space-dependent ‎Inverse Heat Problems

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 fou...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 6; no. Special Issue; pp. 1187 - 1199
Main Authors Muhammad Nawaz Khan, Imtiaz Ahmad, Hijaz Ahmad
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.12.2020
Subjects
inverse heat source problem
meshless method
non-rectangular ‎domains
non-uniform nodes
radial basis function
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ISSN2383-4536
2383-4536
DOI10.22055/jacm.2020.32999.2123

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Summary: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 three-dimensional 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.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2020.32999.2123