Abstract: In this paper, an approach is presented to calculate two-dimensional numerical integration based on Laguerre wavelets and operational matrix of integration. Numerical integration problems are transformed into matrix operations by properly discretizing the integrand, which makes its computation that becomes convenient. This method is suitable for two-dimensional numerical integration with constant and variable limits. Some examples are provided to demonstrate the feasibility and effectiveness of the proposed method.

Key words: Laguerre wavelets, operational matrix of integration, two-dimensional numerical integration, integration with variable limits

摘要： 基于Laguerre小波函数及其对应的积分算子矩阵给出了一个求二重积分的数值方法。该方法通过对被积函数进行恰当的离散化，将二重数值积分问题转化为矩阵运算，从而易于求解、方便计算。该方法不仅适用于积分区域是矩形区域，也适用于二重变限积分的情况。数值算例验证了该方法的可行性及有效性。

关键词: Laguerre小波, 积分算子矩阵, 二重积分, 变限积分