Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

X. Y. Li; B. Y. Wu

doi:10.1080/00207160.2017.1398325

Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

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

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology

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

9 Scopus citations

Abstract

In this paper, a numerical method is proposed for solving nonlinear variable-order space fractional diffusion equations. The method is based on the reproducing kernel theory and the iterative method. The convergence of the method is also discussed. Numerical examples are provided to show that the numerical method is computationally efficient.

Original language	English
Pages (from-to)	1210-1221
Number of pages	12
Journal	International Journal of Computer Mathematics
Volume	95
Issue number	6-7
DOIs	https://doi.org/10.1080/00207160.2017.1398325
State	Published - 3 Jul 2018

Keywords

Reproducing kernel
diffusion equations
nonlinear

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10.1080/00207160.2017.1398325

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title = "Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations",

abstract = "In this paper, a numerical method is proposed for solving nonlinear variable-order space fractional diffusion equations. The method is based on the reproducing kernel theory and the iterative method. The convergence of the method is also discussed. Numerical examples are provided to show that the numerical method is computationally efficient.",

keywords = "Reproducing kernel, diffusion equations, nonlinear",

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

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year = "2018",

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T1 - Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

AU - Li, X. Y.

AU - Wu, B. Y.

PY - 2018/7/3

Y1 - 2018/7/3

N2 - In this paper, a numerical method is proposed for solving nonlinear variable-order space fractional diffusion equations. The method is based on the reproducing kernel theory and the iterative method. The convergence of the method is also discussed. Numerical examples are provided to show that the numerical method is computationally efficient.

AB - In this paper, a numerical method is proposed for solving nonlinear variable-order space fractional diffusion equations. The method is based on the reproducing kernel theory and the iterative method. The convergence of the method is also discussed. Numerical examples are provided to show that the numerical method is computationally efficient.

KW - Reproducing kernel

KW - diffusion equations

KW - nonlinear

UR - https://www.scopus.com/pages/publications/85033720738

U2 - 10.1080/00207160.2017.1398325

DO - 10.1080/00207160.2017.1398325

M3 - 文章

AN - SCOPUS:85033720738

SN - 0020-7160

VL - 95

SP - 1210

EP - 1221

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 6-7

ER -

Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

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Keywords

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