先利用 Legendre 小波的分数阶积分算子矩阵将非线性分数阶 Volterra 积分微分方程转化为非线性代数方程组，再通过数值求解方程组得到原方程的数值解，证明了误差边界值，并用算例验证了该方法的有效性和精确性。
Nonlinear fractional-order Volterra integro-differential equation was transformed into a system of algebraic equations by Legendre wavelet operational matrix of fractional integration. Numerical solution of original equation was obtained through solving algebraic equations and error bound value was estimated.Finally some examples demonstrate the validity and precision of this method.
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