Parallelizable Computational Technique for Singularly Perturbed Boundary Value Problems Using Spline

机译：样条奇异边值问题的并行计算技术

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In this paper, we considered singularly perturbed self-adjoint boundary-value problems and proposed a computational technique based on spline scheme, which is also suitable for parallel computing. The whole domain is divided into three non-overlapping subdomains and corresponding subproblems are obtained by using zeroth order approximations of the solution at boundaries of these subproblems. The subproblems corresponding to boundary layer regions are solved using adaptive spline scheme. Numerical example is provided to show the efficiency and accuracy.

机译：在本文中，我们考虑了奇摄动的自伴边值问题，并提出了一种基于样条格式的计算方法，该方法也适用于并行计算。整个域分为三个不重叠的子域，并通过在这些子问题的边界处使用解的零阶近似来获得相应的子问题。使用自适应样条方案解决了与边界层区域相对应的子问题。数值例子表明了效率和准确性。

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来源
《International Conference on Computational Science and Its Applications(ICCSA 2006) pt.1; 20060508-11; Glasgow(GB)》|2006年|P.1177-1182|共6页
会议地点 Glasgow(GB)
作者
Rajesh Kumar Bawa;
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作者单位

Department of Computer Science, Punjabi University, Patiala - 147 002;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
adaptive spline; singular perturbation problems; domain decomposition;

机译：自适应样条;奇摄动问题;域分解;

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1. Spline based computational technique for linear singularly perturbed boundary value problems [J] . Bawa RK Applied mathematics and computation . 2005,第1期

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2. Fourth order computational method for two parameters singularly perturbed boundary value problem using non-polynomial cubic spline [J] . K. Phaneendra, G. Mahesh International journal of computing science and mathematics . 2019,第3期

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3. Computational Approach for Fourth-Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Non- polynomial Quintic Spline [J] . Ram Kishun Lodhi, Hradyesh Kumar Mishra Iranian Journal of Science and Technology. Transaction A, Science . 2018,第2期

机译：非多项式五次样条的四阶自伴奇摄动边值问题的计算方法
4. Parallelizable Computational Technique for Singularly Perturbed Boundary Value Problems Using Spline [C] . Rajesh Kumar Bawa International Conference on Computational Science and Its Applications . 2006

机译：使用样条曲线的单个扰动边值问题的并行计算技术
5. Numerical methods for singularly perturbed boundary value problems and singularly perturbed equations. [D] . Savin, Igor. 2010

机译：奇摄动边值问题和奇摄动方程的数值方法。
6. Defining window-boundaries for genomic analyses using smoothing spline techniques [O] . Timothy M Beissinger, Guilherme JM Rosa, Shawn M Kaeppler, 2015

机译：使用平滑样条技术定义窗口边界以进行基因组分析
7. Singularly perturbed convection-diffusion boundary value problems with two small parameters using nonpolynomial spline technique [O] . 2017

机译：利用非多项式样条技术奇异摄动具有两个小参数的对流扩散边值问题

Parallelizable Computational Technique for Singularly Perturbed Boundary Value Problems Using Spline

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