A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

E. Tohidi; A.H. Bhrawy; K. Erfani

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A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

机译：基于Bernoulli运算矩阵的配置方法求解广义受电弓方程。

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摘要

This paper presents a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives. Only small dimension of Bernoulli operational matrix is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for generalized pantograph equations.

机译：本文提出了一种基于贝努利导数运算矩阵的搭配方法，求解具有初始条件的变系数广义受电弓方程的直接求解技术。仅需要小尺寸的伯努利运算矩阵即可获得满意的结果。数值结果与比较结果证实了该方法对广义受电弓方程的可靠性。

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《Applied Mathematical Modelling》 |2013年第6期|4283-4294|共12页
作者
E. Tohidi; A.H. Bhrawy; K. Erfani;
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作者单位

Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran;

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia,Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;

Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Functional differential equations; Pantograph equation; Collocation method; Direct method; Operational matrix; Bernoulli polynomials;

机译：泛函微分方程;受电弓方程;搭配方法;直接法;运算矩阵;伯努利多项式;

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1. Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations [J] . Abdulnasir Isah, Chang Phang, Piau Phang International Journal of Differential Equations . 2017,第期

机译：基于Genocchi操作矩阵的搭配方法，用于求解广义分数泛仪方程
2. A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations [J] . E.H. Doha, A.H. Bhrawy, D. Baleanu, Applied numerical mathematics . 2014,第mara期

机译：广义受电弓方程数值解的一种新的Jacobi有理高斯配点方法
3. A Bessel collocation method for numerical solution of generalized pantograph equations [J] . Yüzba?i ?., ?ahin N., Sezer M. Numerical Methods for Partial Differential Equations: An International Journal . 2012,第4期

机译：广义受电弓方程数值解的贝塞尔配置方法
4. Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations [C] . Burcu Gürbüz, Mehmet Sezer International Conference on Computational Mathematics and Engineering Sciences . 2020

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5. Meshless collocation methods for the numerical solution of elliptic boundary valued problems the rotational shallow water equations on the sphere. [D] . Blakely, Christopher D. 2009

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6. Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix [O] . Jiaquan Xie, Qingxue Huang, Xia Yang -1

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7. A Taylor method for numerical solution of generalized pantograph equations with linear functional argument [O] . Sezer Mehmet, Akyüz-Daşcıogˇlu Ayşegül 2007

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A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

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