A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form

R.K. Mohanty; M.K. Jain; Deepika Dhall

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A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form

机译：三次样条逼近和TAGE迭代方法在带积分函数的两点边值问题求解中的应用

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In this article, we report an efficient high order numerical method based on cubic spline approximation and application of alternating group explicit method for the solution of two point non-linear boundary value problems, whose forcing functions are in integral form, on a non-uniform mesh. The proposed method is applicable when the internal grid points of solution interval are odd in number. The proposed cubic spline method is also applicable to integro-differential equations having singularities. Computational results are given to demonstrate the utility of the method.

机译：在本文中，我们报告了一种基于三次样条逼近的高效高阶数值方法，并应用了交替群显式方法来求解两点非线性边值问题，这些点的强迫函数为积分形式，并且求解不均匀啮合。该方法适用于求解区间的内部网格点数为奇数的情况。所提出的三次样条方法也适用于具有奇异性的积分微分方程。计算结果证明了该方法的实用性。

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来源
《Applied Mathematical Modelling》 |2011年第6期|p.3036-3047|共12页
作者
R.K. Mohanty; M.K. Jain; Deepika Dhall;
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作者单位

Department of Mathematics. Faculty of Mathematical Sciences, University of Delhi, New Delhi 110 007, India;

Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110 016, India;

Department of Mathematics. Faculty of Mathematical Sciences, University of Delhi, New Delhi 110 007, India;

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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
non-uniform mesh; integral form; simpson's 1/3rd rule; cubic spline; tage method; singularity;

机译：非均匀网格;积分形式;辛普森1/3规则;三次样条;老化法;奇异性;

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专利

1. A short note on the paper 'Convergence of the TAGE iterative method for the system arisen from the cubic spline approximation for the solution of two-point BVPs with forcing function in integral form', by Mohanty, Jain and Dhall [J] . Davod Khojasteh Salkuyeh Applied Mathematical Modelling . 2012,第1期

机译：Mohanty，Jain和Dhall在论文“系统的TAGE迭代方法的收敛性来自三次样条逼近具有积分形式的具有强迫函数的两点BVP的解”中的简短说明
2. Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form [J] . Mohanty RK, Dhall D Applied mathematics and computation . 2009,第6期

机译：具有积分形式齐次函数的非线性两点边值问题的三阶精确变网格离散化及TAGE迭代方法的应用
3. Application of TAGE Iterative Methods for the Solution of Nonlinear Two Point Boundary Value Problems with Linear Mixed Boundary Conditions on a Non-Uniform Mesh [J] . R. K. Mohanty, Jyoti Talwar, Noopur Khosla International Journal for Computational Methods in Engineering Science and Mechanics . 2012,第1a6期

机译：TAGE迭代法在非均匀网格上具有线性混合边界条件的非线性两点边值问题的求解
4. KAOR iterative method with cubic B-spline approximation for solving two-point boundary value problems [C] . Mohd Norfadli Suardi, Nurul Zafira Farhana Mohd Radzuan, Jumat Sulaiman National Symposium on Mathematical Sciences . 2017

机译：具有立方B样条逼近的Kaor迭代方法，用于解决两点边值问题的逼近
5. Finite element analysis using uniform B-spline approximation and implicit boundary method. [D] . Burla, Ravi Kumar. 2008

机译：使用均匀B样条逼近和隐式边界方法进行有限元分析。
6. An Automatic Method for Nucleus Boundary Segmentation Based on a Closed Cubic Spline [O] . Zhao Feng, Anan Li, Hui Gong, 2016

机译：基于闭合三次样条的核边界自动分割方法
7. MKSOR iterative method with cubic b-spline approximation for solving two-point boundary value problems [O] . M.N. Suardi, N.Z.F.M. Radzuan, J Sulaiman 2018

机译：用于解决两点边值问题的立方B样条近似的Mksor迭代方法
8. Formulation of Radiation Transport Solutions for Shielding Applications, Including Integral Transform Methods, Matrix Techniques, and Asymptotic Approximations [R] . Norwood, J. M., Beissner, R. E. 1965

机译：用于屏蔽应用的辐射传输解的公式，包括积分变换方法，矩阵技术和渐近逼近

A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form

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