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

Document Type : Research Paper


1 Department of Basic Sciences, University of Engineering and Technology Peshawar 25000, Pakistan‎

2 Department of Mathematics, University of Swabi 23430, Khyber Pakhtunkhwa, Pakistan


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.


Main Subjects

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