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ABSTRACT
New Basis Functions and Their Applications to PDEs
Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406
Magnetism Division, Institute of Electrodynamics, National Academy of Science of Ukraine, Industrialnaya St., 19, 61106 Kharkov, Ukraine
The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(4), 169-176. https://doi.org/10.3970/icces.2007.003.169
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We introduce a new type of basis functions in this paper to approximate a scattered data set. We test our basis functions on recovering the well-known Franke's function given by scattered data. We then use these basis functions in Kansa's method for solving Helmholtz equations. To demonstrate our proposed approach, we compare the numerical solutions with analytic solutions. The numerical results show that our approach is accurate and efficient.Cite This Article
APA Style
Tian, H., Reustkiy, S., Chen, C. (2007). New basis functions and their applications to pdes. The International Conference on Computational & Experimental Engineering and Sciences, 3(4), 169-176. https://doi.org/10.3970/icces.2007.003.169
Vancouver Style
Tian H, Reustkiy S, Chen C. New basis functions and their applications to pdes. Int Conf Comput Exp Eng Sciences . 2007;3(4):169-176 https://doi.org/10.3970/icces.2007.003.169
IEEE Style
H. Tian, S. Reustkiy, and C. Chen, “New Basis Functions and Their Applications to PDEs,” Int. Conf. Comput. Exp. Eng. Sciences , vol. 3, no. 4, pp. 169-176, 2007. https://doi.org/10.3970/icces.2007.003.169
Copyright © 2007 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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