摘要
利用重心Lagrange插值配点法求解了二维非线性Volterra型积分方程。首先推导基于非线性Volterra型积分方程重心插值配点法的离散格式,然后对其收敛性进行分析,最后通过数值算例验证了该方法的有效性和高精度。
The two-dimensional nonlinear volterra integral equations were solved by the barycentric lagrange interpolation collocation method.First,the method was used to deduce the discrete formula of two dimensional nonlinear volterra euqations,and then its convergence was analyzed.Finally,some numerical examples were used to verify the effectiveness and high accuracy of the method.
作者
张薇
ZHANG Wei(School of Mathematics,Chengdu Normal University,Chengdu 611130,China)
出处
《太原学院学报(自然科学版)》
2021年第4期67-72,共6页
Journal of TaiYuan University:Natural Science Edition
基金
四川省应用基础研究基金(2020YJ0434)
成都师范学院2020年度校级科研重点项目(CS20ZA02)。