TY - EJOU AU - Divo, Eduardo AU - Kassab, Alain J. TI - Transient Non-linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method with an Effective Posteriori Error Estimator T2 - Computers, Materials \& Continua PY - 2005 VL - 2 IS - 4 SN - 1546-2226 AB - A Dual Reciprocity Boundary Element Method is formulated to solve non-linear heat conduction problems. The approach is based on using the Kirchhoff transform along with lagging of the effective non-linear thermal diffusivity. A posteriori error estimate is used to provide effective estimates of the temporal and spatial error. A numerical example is used to demonstrate the approach. KW - DO - 10.3970/cmc.2005.002.277