Malaysian Journal of Mathematical Sciences最新文献_第3页

A New Compact Numerical Scheme for Solving Time Fractional Mobile-Immobile Advection-Dispersion Model 求解时间分数阶移动-不移动平流-色散模型的一种新的紧凑数值格式

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.02

S. Thomas, S. K. Nadupuri

引用次数: 0

Extended Filters of MS -Algebras MS -代数的扩展滤波器

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.13

A. Gaber, M. A. Seoud, M. Tarek

引用次数: 0

Hermite-Hadamard Inequalities Type Using Fractional Integrals for MT-convex Stochastic Process mt -凸随机过程的分数积分Hermite-Hadamard不等式类型

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.14

O. Rholam, M. Barmaki, D. Gretete

引用次数: 0

The Implicit Multistep Block Method with An Off-step Point for Initial Value Problems of Neutral Delay Volterra Integro-differential Equations 中立型时滞Volterra积分微分方程初值问题的带离步点隐式多步块法

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.15

N. I. N. Ismail, Z. A. Majid

引用次数: 0

Direct Multistep Method for Solving Retarded and Neutral Delay Differential Equation with Boundary and Initial Value Problems 求解具有边值和初值问题的时滞中立型时滞微分方程的直接多步法

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.10

N. T. Jaaffar, N. I. N. Ismail, Z. A. Majid, N. Senu

引用次数: 0

Perturbation Iteration Method Compared with Direct Method and Fuzzy Logic Strategy for Solving An Optimal Control Problem of An Uninfected Hepatitis B Virus Dynamics 微扰迭代法与直接法及模糊策略求解未感染乙型肝炎病毒动力学最优控制问题的比较

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.01

Daoussa Haggar Mahamat Saleh, Jean Marie Ntaganda

{"title":"Perturbation Iteration Method Compared with Direct Method and Fuzzy Logic Strategy for Solving An Optimal Control Problem of An Uninfected Hepatitis B Virus Dynamics","authors":"Daoussa Haggar Mahamat Saleh, Jean Marie Ntaganda","doi":"10.47836/mjms.17.3.01","DOIUrl":"https://doi.org/10.47836/mjms.17.3.01","url":null,"abstract":"This paper aims at solving the optimal control problem of the dynamic of HBV infection under treatment using the perturbation iteration method. This method serves as a tool to determine the approximate solutions of nonlinear equations for which exact solutions cannot be obtained. To test the efficacy of this method, the authors propose to compare the numerical simulation results with those of the direct method and fuzzy logic strategy. The newly used method for solving the above optimal control problem is very important since the findings compared to those obtained from the two other methods are in good agreement with experimental data and they demonstrate the response drugs to the dynamics of uninfected hepatocytes, infected hepatocytes, and free virions for a patient suffering from HBV. Since the perturbation iteration method provides satisfactory results which are close to other used numerical methods, it is an important numerical tool to determine the solution of an optimal control problem. In particular, it provides optimal trajectories in medicine, biology, and other related scientific fields. For instance, the response of treatment as control of the human body ensures the health of patients.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135785704","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

Dynamical Discussion and Diverse Soliton Solutions via Complete Discrimination System Approach Along with Bifurcation Analysis for the Third Order NLSE 三阶NLSE的完全判别系统的动力学讨论和多种孤子解及分岔分析

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.09

S. T. R. Rizvi, A. R. Seadawy, B. Mustafa

{"title":"Dynamical Discussion and Diverse Soliton Solutions via Complete Discrimination System Approach Along with Bifurcation Analysis for the Third Order NLSE","authors":"S. T. R. Rizvi, A. R. Seadawy, B. Mustafa","doi":"10.47836/mjms.17.3.09","DOIUrl":"https://doi.org/10.47836/mjms.17.3.09","url":null,"abstract":"The purpose of this study is to introduce the wave structures and dynamical features of the third-order nonlinear Schr\"{o}dinger equations (TONLSE). We take the original equation and, using the traveling wave transformation, convert it into the appropriate traveling wave system, from which we create a conserved quantity known as the Hamiltonian. The Jacobian elliptic function solution (JEF), the hyperbolic function solution, and the trigonometric function solution are just a few of the optical soliton solutions to the equation that may be found using the complete discrimination system (CDS) of polynomial method (CDSPM) and also transfer the JEF into solitary wave (SW) soltions. It also includes certain dynamic results, such as bifurcation points and critical conditions for solutions, that might be utilized to explore the dynamic features of the equation employing the CDSPM. This method could also be used for qualitative analysis. The qualitative analysis is used to illustrate the equilibrium points and phase potraits of the equation. Phase portraits are visual representations used in dynamical systems to illustrate a system's behaviour through time. They can provide crucial information about a system's stability, periodic behaviour, and the presence of attractors or repellents.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135785552","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

Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique 基于Kuratowski MNC技术的变阶隐式分数阶微分方程

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.05

Z. Bouazza, M. S. Souid, C. H. C. Hussin, A. Mandangan, S. Sabit

引用次数: 0

Students' Analogical Reasoning in Solving Trigonometric Target Problems 学生在解决三角目标问题中的类比推理

Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.47836/mjms.17.3.11

None Mutia, None Kartono, None Dwijanto, None Kristina Wijayanti

{"title":"Students' Analogical Reasoning in Solving Trigonometric Target Problems","authors":"None Mutia, None Kartono, None Dwijanto, None Kristina Wijayanti","doi":"10.47836/mjms.17.3.11","DOIUrl":"https://doi.org/10.47836/mjms.17.3.11","url":null,"abstract":"Analogical reasoning plays a crucial part in problem-solving since it requires students to connect prior knowledge with the issues at hand in learning mathematics. However, students struggle when developing solutions to the issues utilizing analogies even if there is a connection between mathematical creativity and analogical reasoning. The aims of this study were to assess students' use of Ruppert's phases to solve problems and identify students' analogy patterns to solve target problems. This study is qualitative in nature. Of 19 research participants, six were then chosen using the purposive sampling technique based on their levels of mathematical creative ability. Test, interview, and documentation were the data gathering techniques used in this study. The study's findings suggested that good analogical reasoning skills did not serve as a prerequisite for students with strong mathematical creative thinking skills. Only one subject out of three who possessed necessary mathematical creative thinking abilities could go through the four steps of analogical reasoning-structuring, mapping, applying, and verifying. All other subjects were unable to complete the four steps of analogy, and even their creative thinking skills were weak. This was because the students did not comprehend the idea and could not connect prior knowledge with the issues at hand. In order to remind students of their prior knowledge and experiences, it would therefore be necessary at this analogy stage to establish an initial stage before structuring. The format and degree of difficulty of the questions were assumed to be other elements that might influence students' responses. The results of this study are expected to be a reference for further research, namely increasing analogical reasoning optimally as an effort to increase students' prior knowledge and students' mathematical creative thinking abilities in solving mathematical problems.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135785550","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

On the Local Stability of a Certain Class of Polynomial Differential System 一类多项式微分系统的局部稳定性

IF 0.5

Malaysian Journal of Mathematical Sciences Pub Date : 2023-06-01 DOI: 10.47836/mjms.17.2.06

Ismail Mirumbe, J. Nakakawa, J. Mango

引用次数: 0