用牛顿积积分法求解非线性奇异Volterra积分系统

Mathematical and Computer Modelling Pub Date : 2013-12-01 DOI:10.1016/j.mcm.2013.06.016

B. Babayar-Razlighi , B. Soltanalizadeh

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引用次数: 12

摘要

本文考虑一类非线性Volterra积分方程组，并应用牛顿法对其进行线性化。我们用积积分法求解牛顿系统的每一步。并给出了数值方法收敛的充分条件。最后，给出了一个测试问题来说明该方法的适用性和准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical solution of a nonlinear singular Volterra integral system by the Newton product integration method

In this paper, we consider a nonlinear system of Volterra integral equations, and apply Newton’s method to linearize it. We solve each step of Newton’s system by the product integration technique. Also, we provide the sufficient conditions for convergence of the numerical method. Finally, we give a test problem to illustrate the applicability and accuracy of the presented method.

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