An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients

An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients

In this paper, the exact solution to partial differential equation with variable coefficients is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. It is worthy to note that our method can be employed to solve singularl...

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Main Author: Yulan Wang
Format: Article
Language:English
Published: SAGE Publishing 2008-09-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/174830108785302814
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spelling doaj-b349d2418fb541d5b09b5e0eb85b909f2020-11-25T03:22:13ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30181748-30262008-09-01210.1260/174830108785302814An Iterative Method for Solving a Class of Partial Differential Equation with Variable CoefficientsYulan Wang0 Department of Mathematics, Harbin Institute of Technology. WeiHai, ShanDong, 264209, P.R.ChinaIn this paper, the exact solution to partial differential equation with variable coefficients is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. It is worthy to note that our method can be employed to solve singularly-boundary value problems of a nonlinear partial differential equation with variable coefficients. Some numerical examples show our method is effective and highly accurate.https://doi.org/10.1260/174830108785302814
collection DOAJ
language English
format Article
sources DOAJ
author Yulan Wang
spellingShingle Yulan Wang
An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
Journal of Algorithms & Computational Technology
author_facet Yulan Wang
author_sort Yulan Wang
title An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
title_short An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
title_full An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
title_fullStr An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
title_full_unstemmed An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
title_sort iterative method for solving a class of partial differential equation with variable coefficients
publisher SAGE Publishing
series Journal of Algorithms & Computational Technology
issn 1748-3018
1748-3026
publishDate 2008-09-01
description In this paper, the exact solution to partial differential equation with variable coefficients is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. It is worthy to note that our method can be employed to solve singularly-boundary value problems of a nonlinear partial differential equation with variable coefficients. Some numerical examples show our method is effective and highly accurate.
url https://doi.org/10.1260/174830108785302814
work_keys_str_mv AT yulanwang aniterativemethodforsolvingaclassofpartialdifferentialequationwithvariablecoefficients
AT yulanwang iterativemethodforsolvingaclassofpartialdifferentialequationwithvariablecoefficients
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