Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space

Wei Jiang; Minggen Cui

doi:10.1080/00207160903082397

Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space

Wei Jiang^*
, Minggen Cui

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

11 Scopus citations

Abstract

We study the singular pseudoparabolic problems with nonlocal mixed conditions in the reproducing kernel space, in which all functions satisfy the nonlocal mixed conditions. Based on the reproducing kernel theorem, a very simple method for solving the singular pseudoparabolic problems with nonlocal mixed conditions is proposed. The final numerical experiment illustrates the method is efficient.

Original language	English
Pages (from-to)	3430-3442
Number of pages	13
Journal	International Journal of Computer Mathematics
Volume	87
Issue number	15
DOIs	https://doi.org/10.1080/00207160903082397
State	Published - Dec 2010
Externally published	Yes

Keywords

nonlocal mixed conditions
pseudoparabolic problems
reproducing kernel space
reproducing kernel theorem
singular

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10.1080/00207160903082397

Cite this

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title = "Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space",

abstract = "We study the singular pseudoparabolic problems with nonlocal mixed conditions in the reproducing kernel space, in which all functions satisfy the nonlocal mixed conditions. Based on the reproducing kernel theorem, a very simple method for solving the singular pseudoparabolic problems with nonlocal mixed conditions is proposed. The final numerical experiment illustrates the method is efficient.",

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AU - Cui, Minggen

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AB - We study the singular pseudoparabolic problems with nonlocal mixed conditions in the reproducing kernel space, in which all functions satisfy the nonlocal mixed conditions. Based on the reproducing kernel theorem, a very simple method for solving the singular pseudoparabolic problems with nonlocal mixed conditions is proposed. The final numerical experiment illustrates the method is efficient.

KW - nonlocal mixed conditions

KW - pseudoparabolic problems

KW - reproducing kernel space

KW - reproducing kernel theorem

KW - singular

UR - https://www.scopus.com/pages/publications/78649829267

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DO - 10.1080/00207160903082397

M3 - 文章

AN - SCOPUS:78649829267

SN - 0020-7160

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EP - 3442

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

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ER -

Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space

Abstract

Keywords

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