Solving a system of linear Volterra integral equations using the new reproducing kernel method

Wei Jiang; Zhong Chen

doi:10.1016/j.amc.2013.03.123

Solving a system of linear Volterra integral equations using the new reproducing kernel method

Wei Jiang
, Zhong Chen^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

62 Scopus citations

Abstract

In this paper, we present a new numerical technique to obtain the approximation solution for linear Volterra integral equations of the second kind based on reproducing kernel theory. The approximation solution is expressed by n-term summation of reproducing kernel functions. The merit of the new method includes (1) it is easy to implement this method; (2) high accuracy. The numerical examples compared with other methods show that the new method is more efficient.

Original language	English
Pages (from-to)	10225-10230
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	219
Issue number	20
DOIs	https://doi.org/10.1016/j.amc.2013.03.123
State	Published - 15 Jun 2013
Externally published	Yes

Keywords

Approximate solutions
Kind
Reproducing kernel function
Reproducing kernel theory
Volterra integral equations of the second

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10.1016/j.amc.2013.03.123

Cite this

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abstract = "In this paper, we present a new numerical technique to obtain the approximation solution for linear Volterra integral equations of the second kind based on reproducing kernel theory. The approximation solution is expressed by n-term summation of reproducing kernel functions. The merit of the new method includes (1) it is easy to implement this method; (2) high accuracy. The numerical examples compared with other methods show that the new method is more efficient.",

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AB - In this paper, we present a new numerical technique to obtain the approximation solution for linear Volterra integral equations of the second kind based on reproducing kernel theory. The approximation solution is expressed by n-term summation of reproducing kernel functions. The merit of the new method includes (1) it is easy to implement this method; (2) high accuracy. The numerical examples compared with other methods show that the new method is more efficient.

KW - Approximate solutions

KW - Kind

KW - Reproducing kernel function

KW - Reproducing kernel theory

KW - Volterra integral equations of the second

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M3 - 文章

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

Solving a system of linear Volterra integral equations using the new reproducing kernel method

Abstract

Keywords

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