TY  - JOUR
TI  - Meshless local B-spline basis functions-FD method and its application for heat conduction problem with spatially varying heat generation
N1  - cited By 1; Conference of 4th International Conference on Mechanical and Manufacturing Engineering, ICME 2013 ; Conference Date: 17 December 2013 Through 18 December 2013; Conference Code:101955
JF  - Applied Mechanics and Materials
SN  - 16609336
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84891908456&doi=10.4028%2fwww.scientific.net%2fAMM.465-466.490&partnerID=40&md5=0598ec75ff913771d1fc8b35a6eaea00
EP  - 495
ID  - scholars4436
N2  - In this paper, a new meshless local B-spline basis functions-finite difference (FD) method is presented for two-dimensional heat conduction problem with spatially varying heat generation. In the method, governing equations are discretized by B-spline approximation in the spirit of FD technique using local B-spline collocation. The key aspect of the method is that any derivative at a point or node is stated as neighbouring nodal values based on the B-spline interpolants. Compared with mesh-based method such as FEM the method is simple and efficient to program. In addition, as the method poses the Kronecker delta property, the imposition of boundary conditions is also easy and straightforward. Moreover, it poses no difficulties in dealing with arbitrary complex domains. Heat conduction problem in complex geometry is presented to demonstrate the accuracy and efficiency of the present method. © (2014) Trans Tech Publications, Switzerland.
Y1  - 2014///
AV  - none
A1  - Hidayat, M.I.P.
A1  - Ariwahjoedi, B.
A1  - Setyamartana, P.
A1  - Megat Yusoff, P.S.M.
A1  - Rao, T.V.V.L.N.
SP  - 490
KW  - B-spline; B-spline approximation; Generalized finite difference; Governing equations; Heat conduction problems; Mesh-based methods; Meshless; Two-dimensional heat conduction problems
KW  -  Finite difference method; Functions; Heat conduction; Heat generation; Industrial engineering; Interpolation; Polynomials
KW  -  Splines
CY  - Bangi-Putrajaya
VL  - 465-46
ER  -