A novel numerical method and its convergence for nonlinear delay Volterra integro-differential equations

被引：8

作者：

Mahmoudi, Mostafa ^{[1
]}

Ghovatmand, Mehdi ^{[1
]}

Skandari, Mohammad Hadi Noori ^{[1
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, Shahrood, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 05期

关键词：

delay Volterra integro-differential equations; nonlinear programming; pseudospectral method; SPECTRAL-COLLOCATION METHODS; RUNGE-KUTTA METHODS; INTEGRAL-EQUATIONS; DIFFERENTIAL-EQUATIONS; STABILITY;

D O I：

10.1002/mma.6045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest a convergent numerical method for solving nonlinear delay Volterra integro-differential equations. First, we convert the problem into a continuous-time optimization problem and then use a shifted pseudospectral method to discrete the problem. Having solved the last problem, we can achieve the pointwise and continuous approximate solutions for the main delay Volterra integro-differential equations. Here, we analyze the convergence of the method and solve some numerical examples to show the efficiency of the method.

引用

页码：2357 / 2368

页数：12

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