Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition

被引：0

作者：

Ashyralyev, Allaberen ^{[1
]}

Yilmaz, Serhat ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, Istanbul, Turkey

来源：

NUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012 | 2013年 / 8236卷

关键词：

Ultra parabolic equations; difference schemes; stability estimates; matlab implementation; numerical solutions; DEPENDENT POPULATION DIFFUSION; AGE; MODEL;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, our interest is studying the stability of difference schemes for the approximate solution of the initial boundary value problem for ultra-parabolic equations. For approximately solving the given problem, the second-order of accuracy modified Crank-Nicholson difference schemes are presented. Theorem on almost coercive stability of these difference schemes is established. Numerical example is given to illustrate the applicability and efficiency of our method.

引用

页码：182 / 189

页数：8

共 16 条

[1] Alibekov Kh. A., 1980, UKR MAT ZH, V32, P291
[2] Ashyralyev A, 1994, OPERATOR THEORY ADV
[3] Modified Crank-Nicholson difference schemes for ultra-parabolic equations
Ashyralyev, Allaberen
Yilmaz, Serhat
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (08) : 2756 - 2764
[4] On the Numerical Solution of Ultra-Parabolic Equations with the Neumann Condition
Ashyralyev, Allaberen
Yilmaz, Serhat
[J]. FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 240 - 243
[5] An Approximation of Ultra-Parabolic Equations
Ashyralyev, Allaberen
Yilmaz, Serhat
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations
Ashyralyev, Allaberen
Yilmaz, Serhat
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[7] An age structured population model in a spatially heterogeneous environment: Existence and uniqueness theory
Deng, QP
Hallam, TG
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (02) : 379 - 394
[8] NONLINEAR AGE-DEPENDENT POPULATION DIFFUSION
DIBLASIO, G
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 8 (03) : 265 - 284
[9] INITIAL-BOUNDARY VALUE-PROBLEM FOR AGE-DEPENDENT POPULATION DIFFUSION
DIBLASIO, G
LAMBERTI, L
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (03) : 593 - 615
[10] Dyson J, 2007, DISCRETE CONT DYN-B, V8, P45

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