介绍了Legendre小波的性质,并利用它们将线性Fredholm积分一微分方程组转化为代数方程组求解,得到方程组的系数矩阵相当稀疏,给计算带来了方便。最后,为了说明方法的有效性,给出了一些数值算例并与其它方法进行了比较。
The properties of Legendre wavelets are introduced and are utilized to reduce system of linear Fredholm integro-differential equations to a set of algebraic equations, which making the matrix sparse. In the end, some numerical examples are used to verify effciency of the method compare to other methods.