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Eurasian Journal of Mathematical and Computer Applications最新文献

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A MODIFIED BACKWARD EULER SCHEME FOR THE DIFFUSION EQUATION SUBJECT TO NONLINEAR NONLOCAL BOUNDARY CONDITIONS 非线性非局部边界条件下扩散方程的一种修正后向欧拉格式
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-09-25 DOI: 10.32523/2306-6172-2021-9-3-26-38
Dehilis Sofiane, Bouziani Abdelfatah, Bensaid Souad
{"title":"A MODIFIED BACKWARD EULER SCHEME FOR THE DIFFUSION EQUATION SUBJECT TO NONLINEAR NONLOCAL BOUNDARY CONDITIONS","authors":"Dehilis Sofiane, Bouziani Abdelfatah, Bensaid Souad","doi":"10.32523/2306-6172-2021-9-3-26-38","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-3-26-38","url":null,"abstract":"In this article, Modified Backward Euler Scheme is developed to solve the diffusion equation subject to nonlinear nonlocal boundary conditions. The proposed scheme is derived by combining a fourth-order compact finite difference formula in space and a backward differ- entiation for the time derivative term. Nonlinear terms in boundary conditions are linearized by Taylor expansion. Numerical examples are provided to verify the accuracy and efficiency of our proposed method.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44733633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS 多点散射体的传输特征值
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-08-18 DOI: 10.32523/2306-6172-2021-9-4-17-25
P. Grinevich, R. A. O. Sciences, Moscow, Russia., L. I. F. T. Physics, Chernogolovka, Lomonosov Moscow State University, Cmap, Cnrs, 'Ecole polytechnique, I. P. Paris, Palaiseau, France.
{"title":"TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS","authors":"P. Grinevich, R. A. O. Sciences, Moscow, Russia., L. I. F. T. Physics, Chernogolovka, Lomonosov Moscow State University, Cmap, Cnrs, 'Ecole polytechnique, I. P. Paris, Palaiseau, France.","doi":"10.32523/2306-6172-2021-9-4-17-25","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-4-17-25","url":null,"abstract":"We study the transmission eigenvalues for the multipoint scatterers of the Bethe- Peierls-Fermi-Zeldovich-Beresin-Faddeev type in dimensions d = 2 and d = 3. We show that for these scatterers: 1) each positive energy E is a transmission eigenvalue (in the strong sense) of infinite multiplicity; 2) each complex E is an interior transmission eigenvalue of infinite multiplicity. The case of dimension d = 1 is also discussed.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45933507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
THE MODIFIED TIKHONOV REGULARIZATION METHOD WITH THE SMOOTHED TOTAL VARIATION FOR SOLVING THE LINEAR ILL-POSED PROBLEMS 基于光滑全变分的修正tikhonov正则化方法求解线性不适定问题
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-06-01 DOI: 10.32523/2306-6172-2021-9-2-88-100
V. Vasin, V. Belyaev
{"title":"THE MODIFIED TIKHONOV REGULARIZATION METHOD WITH THE SMOOTHED TOTAL VARIATION FOR SOLVING THE LINEAR ILL-POSED PROBLEMS","authors":"V. Vasin, V. Belyaev","doi":"10.32523/2306-6172-2021-9-2-88-100","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-2-88-100","url":null,"abstract":"We investigate a linear operator equation of the first kind that is ill-posed in the Hadamard sence. It is assumed that its solution is representable as a sum of smooth and discontinuous components. To construct a stable approximate solutions, we use the modified Tikhonov method with the stabilizing functional as a sum of the Lebesgue norm for the smooth component and a smoothed BV-norm for the discontinuous component. Theorems of exis- tence, uniqueness, and convergence both the regularized solutions and its finite-dimentional approximations are proved. Also, results of numerical experiments are presented.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45993011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AN EFFICIENT IDENTIFICATION OF RED BLOOD CELL EQUILIBRIUM SHAPE USING NEURAL NETWORKS 利用神经网络对红细胞平衡形态的有效识别
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-06-01 DOI: 10.32523/2306-6172-2021-9-2-39-56
Houda Fahim, Olivier Sawadogo, N. Alaa, M. Guedda
{"title":"AN EFFICIENT IDENTIFICATION OF RED BLOOD CELL EQUILIBRIUM SHAPE USING NEURAL NETWORKS","authors":"Houda Fahim, Olivier Sawadogo, N. Alaa, M. Guedda","doi":"10.32523/2306-6172-2021-9-2-39-56","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-2-39-56","url":null,"abstract":"This work of applied mathematics with interfaces in bio-physics focuses on the shape identification and numerical modelisation of a single red blood cell shape. The purpose of this work is to provide a quantitative method for interpreting experimental observations of the red blood cell shape under microscopy. In this paper we give a new formulation based on classical theory of geometric shape minimization which assumes that the curvature energy with additional constraints controls the shape of the red blood cell. To minimize this energy under volume and area constraints, we propose a new hybrid algorithm which combines Particle Swarm Optimization (PSO), Gravitational Search (GSA) and Neural Network Algorithm (NNA). The results obtained using this new algorithm agree well with the experimental results given by Evans et al. (8) especially for sphered and biconcave shapes.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42704654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NEW DATA COMPRESSION ALGORITHM FOR TECHNOLOGICAL INFORMATION OF THE INFORMATION-MEASURING SYSTEM "SKALA-MICRO" SKALA-MICRO信息测量系统技术信息的新数据压缩算法
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-06-01 DOI: 10.32523/2306-6172-2021-9-2-4-11
Bukalin, Alexey, Zagrebaev Andrey
{"title":"NEW DATA COMPRESSION ALGORITHM FOR TECHNOLOGICAL INFORMATION OF THE INFORMATION-MEASURING SYSTEM \"SKALA-MICRO\"","authors":"Bukalin, Alexey, Zagrebaev Andrey","doi":"10.32523/2306-6172-2021-9-2-4-11","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-2-4-11","url":null,"abstract":"This paper describes a computer program that implements an algorithm for com- pressing technological information with losses using archive data of the information-measuring system \"Skala-micro\" of the Kursk and Smolensk NPPs as an example. The presented al- gorithm allows to compress file archives at the data level with the possibility of their quick subsequent recovery within the limits of the acceptable error. The main goal of the algorithm is to significantly reduce the excess amount of memory when storing data for its subsequent more efficient use.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41631268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AN ANALYTICAL SOLUTION OF THE SATURATED AND INCOMPRESSIBLE POROELASTIC MODEL FOR TRANSIENT WAVE PROPAGATION 瞬态波传播的饱和不可压缩孔隙弹性模型的解析解
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-06-01 DOI: 10.32523/2306-6172-2021-9-2-12-38
R. Silva, V. Priimenko
{"title":"AN ANALYTICAL SOLUTION OF THE SATURATED AND INCOMPRESSIBLE POROELASTIC MODEL FOR TRANSIENT WAVE PROPAGATION","authors":"R. Silva, V. Priimenko","doi":"10.32523/2306-6172-2021-9-2-12-38","DOIUrl":"https://doi.org/10.32523/2306-6172-2021-9-2-12-38","url":null,"abstract":"A transient wave propagation model is provided as a consequence of a new theory of porous media and wave propagation in saturated poroelastic media. This theory, in the linear case, becomes to be equivalent to the theory proposed by de Boer, R., Ehlers, W. & Liu, Z. in 1993. It leads to a model for the 1-D porous saturated column problem, which after the appropriate establishment of boundary and initial conditions, can be solved analytically with the aid of the Laplace transform concerning time. Numerical experiments are performed to illustrate the behavior of constituents displacement fields. The theory results in having an inertial effect on the motion of solid constituents as commonly expected. However, in contrast to Biot’s theory, is not introduced by the present theory the relative acceleration as an interactive force between solid and fluid constituents to account for the apparent inertial effect.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43726300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Analysis Of The Penalty Method For Unilateral Contact Problem With Tresca’s Friction In Thermo-Electro-Visco-Elasticity. 热电粘弹性中含Tresca摩擦的单边接触问题罚法数值分析。
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2020-01-01 DOI: 10.32523/2306-6172-2020-8-3-12-32
B. M., Essoufi El-H., A. M.
{"title":"Numerical Analysis Of The Penalty Method For Unilateral Contact Problem With Tresca’s Friction In Thermo-Electro-Visco-Elasticity.","authors":"B. M., Essoufi El-H., A. M.","doi":"10.32523/2306-6172-2020-8-3-12-32","DOIUrl":"https://doi.org/10.32523/2306-6172-2020-8-3-12-32","url":null,"abstract":"","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
THE METHOD OF SOLVING NONLINEAR HEAT TRANSFER MODEL IN FREEZING SOIL 冻土非线性传热模型的求解方法
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2020-01-01 DOI: 10.32523/2306-6172-2020-8-4-83-96
B. Rysbaiuly, N. Rysbaeva
{"title":"THE METHOD OF SOLVING NONLINEAR HEAT TRANSFER MODEL IN FREEZING SOIL","authors":"B. Rysbaiuly, N. Rysbaeva","doi":"10.32523/2306-6172-2020-8-4-83-96","DOIUrl":"https://doi.org/10.32523/2306-6172-2020-8-4-83-96","url":null,"abstract":"The nonlinear model of heat transfer in freezing soil was corrected using the results of experimental studies of other scientists. A nonlinear difference equation is constructed and a priori estimates are obtained for solving nonlinear algebraic equations. The nonlinear difference problem is solved by Newton’s method. The paper also considers the problem of choosing the initial approximation of Newton’s method. Using a priori estimates, the quadratic convergence of the iterative method is proved. Numerical calculations have been performed. A strong discrepancy in results between linear and nonlinear difference problem is shown using graphical representation.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
New Exact Solutions For Chaffee- Infante Equations Using (G0/G)-Expansion Method, Hyperbolic Tangent Method And Kudryashov Method. 用(G0/G)展开法、双曲正切法和Kudryashov法求解Chaffee- Infante方程的新精确解。
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2020-01-01 DOI: 10.32523/2306-6172-2020-8-3-33-55
D. C., Chinviriyasit S.
{"title":"New Exact Solutions For Chaffee- Infante Equations Using (G0/G)-Expansion Method, Hyperbolic Tangent Method And Kudryashov Method.","authors":"D. C., Chinviriyasit S.","doi":"10.32523/2306-6172-2020-8-3-33-55","DOIUrl":"https://doi.org/10.32523/2306-6172-2020-8-3-33-55","url":null,"abstract":"","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Stochastic Simulation Of Maximum Levels In Biya River. 比亚河最高水位的随机模拟。
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Eurasian Journal of Mathematical and Computer Applications Pub Date : 2020-01-01 DOI: 10.32523/2306-6172-2020-8-3-56-66
Galakhov V.P., Lovtskaya O.V., Mardasova E.V.
{"title":"Stochastic Simulation Of Maximum Levels In Biya River.","authors":"Galakhov V.P., Lovtskaya O.V., Mardasova E.V.","doi":"10.32523/2306-6172-2020-8-3-56-66","DOIUrl":"https://doi.org/10.32523/2306-6172-2020-8-3-56-66","url":null,"abstract":"","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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