Numerical Solution to a Control Problem for Integro-Differential Equations

Assanova A. T.; Bakirova E. A.; Kadirbayeva Zh M.

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Numerical Solution to a Control Problem for Integro-Differential Equations

机译：积分微分方程控制问题的数值解

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摘要

A control problem for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. A mutual relationship between the qualitative properties of the original and approximate problems is obtained, and estimates for the differences between their solutions are given. A numerical-approximate method for solving the control problem for the integro-differential equation is proposed, and the convergence, stability, and accuracy of the method are examined.

机译：由加载微分方程的参数的问题近似于积分微分方程的控制问题。获得了原始和近似问题的定性特性之间的相互关系，并给出了其解决方案之间的差异的估计。提出了一种用于求解积分微分方程的控制问题的数值近似方法，以及该方法的收敛，稳定性和精度。

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来源
《Computational mathematics and mathematical physics》 |2020年第2期|共19页
作者
Assanova A. T.; Bakirova E. A.; Kadirbayeva Zh M.;
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作者单位

Inst Math &

Math Modeling Alma Ata 050010 Kazakhstan;

Inst Math &

Math Modeling Alma Ata 050010 Kazakhstan;

Inst Math &

Math Modeling Alma Ata 050010 Kazakhstan;

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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
integro-differential equation; control problem; approximation; algorithm; numerical solution;

机译：积分微分方程;控制问题;近似;算法;数值解决方案;

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1. Numerical Solution to a Control Problem for Integro-Differential Equations [J] . Assanova A. T., Bakirova E. A., Kadirbayeva Zh M. Computational mathematics and mathematical physics . 2020,第2期

机译：积分微分方程控制问题的数值解
2. Numerical Solution of Arbitrary-Order Ordinary Differential and Integro-Differential Equations with Separated Boundary Conditions Using Optimal Control Technique [J] . M. Zarepour, G. B. Loghmani Journal of Optimization Theory and Applications . 2012,第3期

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3. Integro-differential form of the first-order dual phase lag heat transfer equation and its numerical solution using the Control Volume Method [J] . Ciesielski M., Mochnacki B., Majchrzak E. Archives of Mechanics . 2020,第5期

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4. Numerical Solution of Volterra Integro-Differential Equations Using Improved Runge-Kutta Methods [C] . Faranak Rabiei, Fatin Abd Hamid, Nafsiah Md Lazim, International Conference on Computational Science and Engineering . 2019

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5. Numerical solutions of the Hamilton-Jacobi equations arising in nonlinear H(infinity) and optimal control. [D] . Markman, Jerry. 1998

机译：非线性H（无穷大）中的Hamilton-Jacobi方程的数值解和最优控制。
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7. NUMERICALLY APPROXIMATE METHOD FOR SOLVING OF A CONTROL PROBLEM FOR INTEGRO-DIFFERENTIAL EQUATIONS OF PARABOLIC TYPE [O] . A.T. Assanova, E.A. Bakirova, Zh.M. Kadirbayeva 2019

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Numerical Solution to a Control Problem for Integro-Differential Equations

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