TY  - EJOU
AU  - Tian, Haiyan  
AU  - Reustkiy, Sergiy  
AU  - Chen, C.S.  

TI  - New Basis Functions and Their Applications to PDEs
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2007
VL  - 3
IS  - 4
SN  - 1933-2815

AB  - 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.
KW  - 

DO  - 10.3970/icces.2007.003.169