TY - EJOU
AU - Yeih, Weichung
AU - Liu, Chein-Shan
TI - A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM
T2 - Computer Modeling in Engineering \& Sciences
PY - 2009
VL - 46
IS - 2
SN - 1526-1506
AB - We consider an inverse problem for estimating an unknown time dependent heat source *H(t)* in a heat conduction equation *u*_{t}(x,t) = *u*_{xx}(x,t) + *H(t)*. First this inverse problem is formulated as a three-point boundary value problem (BVP) for ODEs discretized from the transformed homogeneous governing equation. To treat this three-point BVP we develop a two-stage Lie-group shooting method (TSLGSM). The novel approach is examined through numerical examples to convince that it is rather accurate and efficient; the estimation error is small even for identifying discontinuous and oscillatory heat sources under noise.
KW - Inverse problem
KW - Two-stage Lie-group shooting method
KW - Time-dependent heat source
DO - 10.3970/cmes.2009.046.107