发布求助
文献互助 智能选刊 最新文献

Journal of Numerical and Applied Mathematics最新文献

筛选
英文 中文
OPTIMIZATION OF CHEMOTHERAPY OF MALIGNANT TUMORS BASED ON DELIVERY OF DRUGS WITH ENHANCED CONVECTION 基于增强对流给药的恶性肿瘤化疗优化
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.06
O. B. Stelya, D. Klyushin
{"title":"OPTIMIZATION OF CHEMOTHERAPY OF MALIGNANT TUMORS BASED ON DELIVERY OF DRUGS WITH ENHANCED CONVECTION","authors":"O. B. Stelya, D. Klyushin","doi":"10.17721/2706-9699.2022.1.06","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.06","url":null,"abstract":"The article describes a numerical method for optimizing the chemotherapy of malignant tumors on the basis of drug delivery using increased convection. The problem of optimal control with point sources for reaching the desired intratumor distribution of drugs in macroscopic scale granting the properties of intersticial space and effects of convective diffusion is considered. The efficiency of proposed algorithm for optimal control is shown.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"21 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81817324","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
OPTIMAL STABILIZATION FOR DIFFERENTIAL EQUATIONS 微分方程的最优镇定
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.18
D. Khusainov, A. V. A. V. Shatyrko, Z. R. Hahurin
{"title":"OPTIMAL STABILIZATION FOR DIFFERENTIAL EQUATIONS","authors":"D. Khusainov, A. V. A. V. Shatyrko, Z. R. Hahurin","doi":"10.17721/2706-9699.2022.2.18","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.18","url":null,"abstract":"The paper considers the task of optimal stabilization for linear stationary differential equations. Usage of Lyapunov functions for optimal stabilization. We prove the theorem about optimal stabilization and determine the expression of optimal control for considered class of tasks.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79000122","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
WELL-POSEDNESS OF A DIRICHLET PROBLEM FOR A HYPERBOLIC TYPE INTEGRO-DIFFERENTIAL EQUATION 双曲型积分-微分方程狄利克雷问题的适定性
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.02
A. Anikushyn, O. Zhyvolovych
{"title":"WELL-POSEDNESS OF A DIRICHLET PROBLEM FOR A HYPERBOLIC TYPE INTEGRO-DIFFERENTIAL EQUATION","authors":"A. Anikushyn, O. Zhyvolovych","doi":"10.17721/2706-9699.2022.2.02","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.02","url":null,"abstract":"In the paper we consider a Dirichlet problem for an integro-differential equation with Volterra type integral term. Proving a priori estimates for the differential and integral parts, we provide negative norms’ a priori estimates for the operator of the problem. Based on the latest, we formulate theorems regarding the well-posedness of the formulated boundary value problem.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"47 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90414024","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
THE CORRECTING FUNCTIONS METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR THE AMBIPOLAR DIFFUSION EQUATION IN A DOMAIN WITH A CURVILINEAR BOUNDARIES 曲线边界域上双极扩散方程边值问题的修正函数法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.11
I. P. Moroz
{"title":"THE CORRECTING FUNCTIONS METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR THE AMBIPOLAR DIFFUSION EQUATION IN A DOMAIN WITH A CURVILINEAR BOUNDARIES","authors":"I. P. Moroz","doi":"10.17721/2706-9699.2022.2.11","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.11","url":null,"abstract":"An approach for the ambipolar diffusion equation boundary value problem solving, which is posed in a two-dimensional domain with oscillating boundaries, is proposed. The construction of the solution of the model problem is based on the corresponding problem for a certain internal canonical majorant domain and the methodology for constructing the so-called corrective corrections based on the use of the perturbation theory elements. A feature of this problem is that it is not the problem equation or boundary conditions that are perturbed, but the region. And this leads to the construction of a fundamentally new solution structure.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"67 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87155864","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
STUDY OF ASYMPTOTIC SOLUTIONS OF SYSTEMS OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS WITH TURNING POINTS 带拐点奇摄动微分方程系统渐近解的研究
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.17
V. Sobchuk, I. O. Zelenska
{"title":"STUDY OF ASYMPTOTIC SOLUTIONS OF SYSTEMS OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS WITH TURNING POINTS","authors":"V. Sobchuk, I. O. Zelenska","doi":"10.17721/2706-9699.2022.2.17","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.17","url":null,"abstract":"We study a system with a small parameter at the highest derivatives. Using model operator Airy–Langer for defined regular function. Received the conditions of construction an uniform asymptotic solution for a given system.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"116 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89415365","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
RIQUET PROBLEM FOR ONE MODEL EQUATION OF THE 4TH ORDER HYPERBOLIC TYPE 一类四阶双曲型模型方程的Riquet问题
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.01
I. M. Aleksandrovych, S. Lyashko, V. Lyashko, N. I. Lyashko, M. Sidorov
{"title":"RIQUET PROBLEM FOR ONE MODEL EQUATION OF THE 4TH ORDER HYPERBOLIC TYPE","authors":"I. M. Aleksandrovych, S. Lyashko, V. Lyashko, N. I. Lyashko, M. Sidorov","doi":"10.17721/2706-9699.2022.2.01","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.01","url":null,"abstract":"Integral operators that transform arbitrary functions into regular solutions of hyperbolic equations of the second and higher orders are applied to solving boundary value problems. In particular, the Riquet problem for the Euler–Poisson–Darboux equation of the 4th order is posed and solved.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"32 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87943172","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
TWO-STAGE TRANSPORTATION PROBLEM AND ITS TWO MODIFICATIONS 两阶段运输问题及其两种修正
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.07
P. Stetsyuk, V. Stovba, O. Khomiak
{"title":"TWO-STAGE TRANSPORTATION PROBLEM AND ITS TWO MODIFICATIONS","authors":"P. Stetsyuk, V. Stovba, O. Khomiak","doi":"10.17721/2706-9699.2022.1.07","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.07","url":null,"abstract":"In this paper, a mathematical model of an open twostage transportation problem and its two modifications are considered. The first modification takes into account the upper bounds of transitional points capacities, the second takes into account the possibility of selection of the fixed number of transitional points, which is less than their total number. For all three cases the necessary and sufficient conditions of constraints feasibility are substantiated. The results of the computational experiments using gurobi and cplex solvers are presented.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"284 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72649396","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
METHOD FOR SOURCE POWER IDENTIFICATION IN RICHARDS EQUATION 理查兹方程中源功率辨识方法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.08
S. Lyashko, N. I. Lyashko, D. Klyushin, A. Tymoshenko
{"title":"METHOD FOR SOURCE POWER IDENTIFICATION IN RICHARDS EQUATION","authors":"S. Lyashko, N. I. Lyashko, D. Klyushin, A. Tymoshenko","doi":"10.17721/2706-9699.2022.2.08","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.08","url":null,"abstract":"In this paper a one-dimensional nonlinear Richards equation describing fluid flow in porous medium with inserted equalpowered sources is studied. An experimental iterational method is proposed to find source power to minimize the deviation of received humidity values from target values. Modeling was performed using numerical difference approximation of derivatives, resulting into a system of nonlinear equations with dependence from previous time step. The offered method allows to perform modeling for different source power values, and chooses the most suitable one.Iterations stop when they reach average modular difference value less than calculation error of numerical difference scheme. Here explicit scheme was used to save time, equations were tested for unsaturated medium only to avoid flooding the area, so source power is tested with given limitations. Results of simulations and choice for next source power approximations are described and compared until solution is found. This approach is considered as experimental so we plan to perform more analysis in the future.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"52 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77385536","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
MODELING OF WAVE PROCESSES IN POROUS MEDIA AND ASYMPTOTIC EXPANSIONS 多孔介质中波动过程的模拟与渐近展开
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.15
G. Sandrakov
{"title":"MODELING OF WAVE PROCESSES IN POROUS MEDIA AND ASYMPTOTIC EXPANSIONS","authors":"G. Sandrakov","doi":"10.17721/2706-9699.2022.2.15","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.15","url":null,"abstract":"Models of wave processes in porous periodic media are considered. It is taken into account that the corresponding wave equations depend on small parameters characterizing the microscale, density, and permeability of such media. The algorithm for determining asymptotic expansions for these equations is given. Estimates for the accuracy of such expansions are presented.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"69 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86961673","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 OPTIMIZATION APPROACH TO CONSTRUCTING LYAPUNOV–KRASOVSKY FUNCTIONALS 构造lyapunov-krasovsky泛函的优化方法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.19
D. Khusainov, A. Shatyrko, T. Shakotko, Rahima Mustafaeva
{"title":"AN OPTIMIZATION APPROACH TO CONSTRUCTING LYAPUNOV–KRASOVSKY FUNCTIONALS","authors":"D. Khusainov, A. Shatyrko, T. Shakotko, Rahima Mustafaeva","doi":"10.17721/2706-9699.2022.2.19","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.19","url":null,"abstract":"A scalar linear differential equation of the neutral type is considered. When studying the stability and obtaining estimates of the convergence of the solutions of the equation, the functional of the Lyapunov–Krasovsky form is used in the quadratic form plus the integral term. The stability conditions of the zero solution are given. Finding the parameters of the functional is reduced to an optimization problem.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74518062","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信