一类多维卷积型积分方程的求解

来源期刊：中南大学学报(自然科学版)1997年第4期

论文作者：谷晓玉

文章页码：391 - 392

关键词：卷积； 积分方程； 卷积逆； 迭代

Key words：convolution； integral equation； inverse； iteration

摘    要：对于热扩散问题和波场传播问题常常归结为二维或三维卷积型积分方程的求解．文献[1]解决了该类问题的一维求解，本文在二维情形下解决了指数衰减卷积型积分方程的求解，得到了求解的迭代格式，具有直接的应用价值．

Abstract: The problem for the heat diffusion and the propagation of wave field is generally reduced to solve a class of 2D or 3D convolution integral equation. It has significant value in science and application to solve this problem. The problem in 1D case has been solved in reference [1]. In this paper the iterative solution of the problem in 2D has been obtained, which can be applied to solving some practical problems directly.