Up to now, the isogeometric boundary element method (IGBEM) has been widely applied in different fields, and the solved problems are basically independent of time. But an excellent numerical method is more than that, so it is necessary to explore a new IGBEM which can solve time-domain problems. Based on this, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is proposed to solve transient heat transfer problems with heat sources. The introduction of the dual reciprocal method enables the IGBEM to solve the transient heat transfer problem conveniently. At the same time, it does not need to divide elements within the domain, which maintains the advantage of the IGBEM. First, the boundary domain integral equation is established by the weighted residual method and the field variables are discretized by NURBS basis functions. Then, the domain integral in the integral equation is transformed into the boundary by the classical dual reciprocity method. Finally, the standard first-order ordinary differential equations are formed. In order to examine the accuracy of the proposed method, several typical numerical examples are discussed carefully. The presented method can provide a new idea for solving time-dependent problems by IGBEM.

到目前为止，等几何边界元方法（IGBEM）已广泛应用于不同领域，解决的问题基本上与时间无关。但是，出色的数值方法不仅如此，因此有必要探索一种新的能够解决时域问题的IGBEM。在此基础上，提出了等几何双互易边界元方法（IG-DRBEM），以解决热源的瞬态传热问题。双重对等方法的引入使IGBEM可以方便地解决瞬态传热问题。同时，它不需要在域内划分元素，这保持了IGBEM的优势。首先，通过加权残差法建立边界域积分方程，并通过NURBS基函数离散化场变量。然后，积分方程中的域积分通过经典对偶互易方法转换为边界。最后，形成标准的一阶常微分方程。为了检验所提出方法的准确性，我们仔细讨论了几个典型的数值示例。所提出的方法可以为IGBEM解决时变问题提供新思路。