Galerkin method for nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation with integral condition

被引：12

作者：

Boulaaras, Salah ^{[1
,2
]}

Zarai, Abderrahmane ^{[3
]}

Draifia, Alaeddin ^{[3
]}

机构：

[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Oran, Algeria

[3] Larbi Tebessi Univ, Dept Math & Comp Sci, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期

关键词：

approximate solution; Galerkin method; Moore-Gibson-Thompson equation; nonlocal condition; MEMORY; DECAY;

D O I：

10.1002/mma.5540

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are going to deal with the nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation. Galerkin method was the main used tool for proving the solvability of the given nonlocal problem.

引用

页码：2664 / 2679

页数：16

共 25 条

[1]

[Anonymous], 1992, THEORETICAL ASPECTS

[2]

[Anonymous], 1998, B CLASSE SCI ACAD RO

[3]

[Anonymous], J APPL MATH STOCHAST

[4] STEPWISE STABILITY FOR THE HEAT-EQUATION WITH A NONLOCAL CONSTRAINT [J].

CAHLON, B ;

KULKARNI, DM ;

SHI, P .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (02) :571-593

[5]

Cannon J. R., 1963, Q. Appl. Math, V21, P155, DOI [10.1090/qam/160437, DOI 10.1090/QAM/160437]

[6] A REACTION-DIFFUSION SYSTEM ARISING IN MODELING MAN-ENVIRONMENT DISEASES [J].

CAPASSO, V ;

KUNISCH, K .

QUARTERLY OF APPLIED MATHEMATICS, 1988, 46 (03) :431-450

[7] A PARABOLIC EQUATION WITH NONLOCAL BOUNDARY-CONDITIONS ARISING FROM ELECTROCHEMISTRY [J].

CHOI, YS ;

CHAN, KY .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (04) :317-331

[8] A CLASS OF PARAMETER-ESTIMATION TECHNIQUES FOR FLUID-FLOW IN POROUS-MEDIA [J].

EWING, RE ;

LIN, T .

ADVANCES IN WATER RESOURCES, 1991, 14 (02) :89-97

[9]

Guezane-Lakoud A., 2011, INT J MATH MATH SCI, V2011

[10]

Ionkin N.I., 1979, Diff. Uravneniya, V15, P1284

← 1 2 3 →