A continuous kernel functions method for mixed-type functional differential equations

Y. Gao; X. Y. Li; B. Y. Wu

doi:10.1007/s40096-021-00409-1

A continuous kernel functions method for mixed-type functional differential equations

Y. Gao
, X. Y. Li^*
, B. Y. Wu^*

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology
University of South Florida

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

2 Scopus citations

Abstract

The goal of the paper is to propose a continuous technique for dealing with first-order linear mixed-type functional differential equations. The approach is established via the employment of the reproducing kernel functions and their nice property. The error results of the tests demonstrate that this approach can give good continuous approximations to the considerable problems.

Original language	English
Pages (from-to)	177-182
Number of pages	6
Journal	Mathematical Sciences
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s40096-021-00409-1
State	Published - Jun 2022

Keywords

Kernel functions
Mixed-type equations
Numerical approximation

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10.1007/s40096-021-00409-1

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title = "A continuous kernel functions method for mixed-type functional differential equations",

abstract = "The goal of the paper is to propose a continuous technique for dealing with first-order linear mixed-type functional differential equations. The approach is established via the employment of the reproducing kernel functions and their nice property. The error results of the tests demonstrate that this approach can give good continuous approximations to the considerable problems.",

keywords = "Kernel functions, Mixed-type equations, Numerical approximation",

author = "Y. Gao and Li, \{X. Y.\} and Wu, \{B. Y.\}",

note = "Publisher Copyright: {\textcopyright} 2021, Islamic Azad University.",

year = "2022",

month = jun,

doi = "10.1007/s40096-021-00409-1",

language = "英语",

volume = "16",

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T1 - A continuous kernel functions method for mixed-type functional differential equations

AU - Gao, Y.

AU - Li, X. Y.

AU - Wu, B. Y.

PY - 2022/6

Y1 - 2022/6

N2 - The goal of the paper is to propose a continuous technique for dealing with first-order linear mixed-type functional differential equations. The approach is established via the employment of the reproducing kernel functions and their nice property. The error results of the tests demonstrate that this approach can give good continuous approximations to the considerable problems.

AB - The goal of the paper is to propose a continuous technique for dealing with first-order linear mixed-type functional differential equations. The approach is established via the employment of the reproducing kernel functions and their nice property. The error results of the tests demonstrate that this approach can give good continuous approximations to the considerable problems.

KW - Kernel functions

KW - Mixed-type equations

KW - Numerical approximation

UR - https://www.scopus.com/pages/publications/85119485359

U2 - 10.1007/s40096-021-00409-1

DO - 10.1007/s40096-021-00409-1

M3 - 文章

AN - SCOPUS:85119485359

SN - 2008-1359

VL - 16

SP - 177

EP - 182

JO - Mathematical Sciences

JF - Mathematical Sciences

IS - 2

ER -

A continuous kernel functions method for mixed-type functional differential equations

Abstract

Keywords

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