@Article{icces.2007.003.169,
AUTHOR = {Haiyan  Tian, Sergiy  Reustkiy, C.S.  Chen},
TITLE = {New Basis Functions and Their Applications to PDEs},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {3},
YEAR = {2007},
NUMBER = {4},
PAGES = {169--176},
URL = {http://www.techscience.com/icces/v3n4/32213},
ISSN = {1933-2815},
ABSTRACT = {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.},
DOI = {10.3970/icces.2007.003.169}
}