TY - EJOU
AU - Mai-Duy, N.
AU - Tran-Cong, T.
AU - Tanner, R.I.
TI - A New High-order Time-kernel BIEM for the Burgers Equation
T2 - Computer Modeling in Engineering \& Sciences
PY - 2006
VL - 16
IS - 3
SN - 1526-1506
AB - This paper presents a new high-order time-kernel boundary-integral-equation method (BIEM) for numerically solving transient problems governed by the Burgers equation. Instead of using high-order Lagrange polynomials such as quadratic and quartic interpolation functions, the proposed method employs integrated radial-basis-function networks (IRBFNs) to represent the unknown functions in boundary and volume integrals. Numerical implementations of ordinary and double integrals involving time in the presence of IRBFNs are discussed in detail. The proposed method is verified through the solution of diffusion and convection-diffusion problems. A comparison of the present results and those obtained by low-order BIEMs and other methods is also given.
KW - Burgers equation
KW - Radial-basis-function networks
KW - Transient problems
KW - Time-dependent fundamental solutions
KW - Boundary-integral-equation methods
DO - 10.3970/cmes.2006.016.177