COMPUTATIONAL EXPERIMENT FOR ONE CLASS OF EVOLUTION MATHEMATICAL MODELS IN QUASI-SOBOLEV SPACES

被引：0

作者：

Al-Isawi, J. K. T. ^{[1
]}

Zamyshlyaeva, A. A. ^{[1
]}

机构：

[1] South Ural State Univ, Chelyabinsk, Russia

来源：

BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE | 2016年 / 9卷 / 04期

关键词：

evolution equation; quasi-Banach spaces; numerical solution;

D O I：

10.14529/mmp160413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article the mathematical model representing one class of evolution equations in quasi-Banach spaces is studied. A theorem on the unique solvability of the Cauchy problem is stated. The conditions for the phase space existence are presented. We also give the conditions for exponential dichotomies of solutions. Based on the theoretical results there was developed an algorithm for the numerical solution of the problem. The algorithm is implemented in Maple. The article includes description of the algorithm which is illustrated by variety of model examples showing the work of the developed program and represent the main properties of solutions.

引用

页码：141 / 147

页数：7

共 27 条

[21] Finite-Temperature Coarse-Graining of One-Dimensional Models: Mathematical Analysis and Computational Approaches
X. Blanc
C. Le Bris
F. Legoll
C. Patz
Journal of Nonlinear Science, 2010, 20 : 241 - 275
[22] Finite-Temperature Coarse-Graining of One-Dimensional Models: Mathematical Analysis and Computational Approaches
Blanc, X.
Le Bris, C.
Legoll, F.
Patz, C.
JOURNAL OF NONLINEAR SCIENCE, 2010, 20 (02) : 241 - 275
[23] COMPUTATIONAL MOLECULAR EVOLUTION FROM MATHEMATICAL MODELS TO NOVEL DISTANCE METRICS BASED ON INTRA-GROUP ANALYSIS
Vogel, Ivan
Ocenasek, Pavel
Zedek, Frantisek
ELECTRONIC DEVICES AND SYSTEMS: IMAPS CS INTERNATIONAL CONFERENCE 2011, 2011, : 264 - 269
[24] On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
Abiev N.A.
Siberian Advances in Mathematics, 2017, 27 (4) : 227 - 238
[25] QUANTUM ISING-MODELS IN TRANSVERSE FIELDS FOR A CLASS OF ONE-DIMENSIONAL QUASI-PERIODIC LATTICES
YOU, JQ
YANG, QB
PHYSICAL REVIEW B, 1990, 41 (10): : 7073 - 7077
[26] Quasi-One-Dimensional Ising Models with Defects of the “Random Local Field” Type: the Imry–Ma Phase in Spaces with a Dimension Higher than the Lower Critical Dimensionality
A. A. Berzin
A. I. Morosov
A. S. Sigov
Physics of the Solid State, 2021, 63 : 141 - 144
[27] Quasi-One-Dimensional Ising Models with Defects of the "Random Local Field" Type: the Imry-Ma Phase in Spaces with a Dimension Higher than the Lower Critical Dimensionality
Berzin, A. A.
Morosov, A. I.
Sigov, A. S.
PHYSICS OF THE SOLID STATE, 2021, 63 (01) : 141 - 144

← 1 2 3 →