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A comparison of forecasting methods for hotel room occupancy 酒店客房入住率预测方法的比较
Pub Date : 2019-08-21 DOI: 10.1063/1.5121114
N. M. Desa, Muzhaffar Bin Mohamad Marzuki
There are a few types of forecasting categories that have been used such as hotel room occupancy forecast. Implementation of this forecasting category can be crucial because it leads to an efficient planning for, and decision making to all the hotel departments. Thus, this study aims to compare the best forecasting method for hotel room occupancy. Therefore, Seasonal Naive, Seasonal Holt Winter’s Method and ARIMA are going to be implemented in order to determine which forecasting method is most suitable to forecast hotel room occupancy by using secondary data from year 2012 until 2017. The selection of best method is based on three error measurements which are root mean square error (RMSE), mean absolute percentage error (MAPE) and mean absolute error (MAE). From the analysis conducted, the results show the best method to be implemented is the Seasonal Holt Winter’s Multiplicative method since it shows the lowest error for all three measurements. Furthermore, the forecast of future hotel room occupancy for year 2018 shows similar pattern as previous years. In comparing 2018 future occupancy with 2017 actual occupancy, there are some increment and decrement in hotel room occupancy for various months.There are a few types of forecasting categories that have been used such as hotel room occupancy forecast. Implementation of this forecasting category can be crucial because it leads to an efficient planning for, and decision making to all the hotel departments. Thus, this study aims to compare the best forecasting method for hotel room occupancy. Therefore, Seasonal Naive, Seasonal Holt Winter’s Method and ARIMA are going to be implemented in order to determine which forecasting method is most suitable to forecast hotel room occupancy by using secondary data from year 2012 until 2017. The selection of best method is based on three error measurements which are root mean square error (RMSE), mean absolute percentage error (MAPE) and mean absolute error (MAE). From the analysis conducted, the results show the best method to be implemented is the Seasonal Holt Winter’s Multiplicative method since it shows the lowest error for all three measurements. Furthermore, the forecast of future hotel room occupancy fo...
有几种类型的预测类别已经被使用,如酒店房间入住率预测。这类预测的实施是至关重要的,因为它可以为所有酒店部门提供有效的计划和决策。因此,本研究旨在比较最佳的酒店客房入住率预测方法。因此,为了确定哪一种预测方法最适合使用2012年至2017年的二手数据预测酒店客房入住率,将实施季节性天真,季节性霍尔特冬季方法和ARIMA。最佳方法的选择基于三种误差测量,即均方根误差(RMSE)、平均绝对百分比误差(MAPE)和平均绝对误差(MAE)。从所进行的分析中,结果表明最好的方法是季节性霍尔特冬季乘法法,因为它显示了所有三种测量的最低误差。此外,对2018年未来酒店客房入住率的预测显示出与往年相似的模式。2018年未来入住率与2017年实际入住率比较,各月份酒店客房入住率均有增减。有几种类型的预测类别已经被使用,如酒店房间入住率预测。这类预测的实施是至关重要的,因为它可以为所有酒店部门提供有效的计划和决策。因此,本研究旨在比较最佳的酒店客房入住率预测方法。因此,为了确定哪一种预测方法最适合使用2012年至2017年的二手数据预测酒店客房入住率,将实施季节性天真,季节性霍尔特冬季方法和ARIMA。最佳方法的选择基于三种误差测量,即均方根误差(RMSE)、平均绝对百分比误差(MAPE)和平均绝对误差(MAE)。从所进行的分析中,结果表明最好的方法是季节性霍尔特冬季乘法法,因为它显示了所有三种测量的最低误差。此外,对未来酒店客房入住率的预测…
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引用次数: 1
Mangrove attribute preferences for environmental conservation: Evident from choice modeling approach 红树林属性对环境保护的偏好:从选择建模方法中可见
Pub Date : 2019-08-21 DOI: 10.1063/1.5121058
W. Ibrahim, Fatihah Mohd, S. Ismail, W. Endut, Roseliza Mat Alipiah
Mangrove forest provides a variety of service both ecologically and economically. But they are experiencing severe threats, with high annualized shrinkage rates in almost all countries. This situation emphasizes the decision maker to make efficient decision making on continuous sustainability of conservation programs by understanding the local community preferences of the mangrove attribute. To obtain this objective, this paper applies the choice modeling (CM) experiment method, which is the one of the preferred non-market valuation technique. CM is creating strong interest among researchers because of very flexible in dealing with complex models of "trade-offs" between attributes, so that makes it possible to model the community choices on selected mangrove attribute. To perform this technique, a series of choice card were distributed to 526 respondents from three areas around Setiu Wetlands (SW), Terengganu, Malaysia using face to face survey method. The result from multinomial logit model showed that the six attribute selected for the environmental conservation was significantly influenced community preferences. The results of this study indicate that the forest mangrove area (MANREA), water quality (WATERQ) and the price of mangrove sapling tree (PRICE) have the expected sign with higher marginality value for concerted efforts for sustainable management of the mangrove forest. The finding indicates that local communities are likely to support mangrove conservation management initiatives that promote sustainable use of the mangrove resources.Mangrove forest provides a variety of service both ecologically and economically. But they are experiencing severe threats, with high annualized shrinkage rates in almost all countries. This situation emphasizes the decision maker to make efficient decision making on continuous sustainability of conservation programs by understanding the local community preferences of the mangrove attribute. To obtain this objective, this paper applies the choice modeling (CM) experiment method, which is the one of the preferred non-market valuation technique. CM is creating strong interest among researchers because of very flexible in dealing with complex models of "trade-offs" between attributes, so that makes it possible to model the community choices on selected mangrove attribute. To perform this technique, a series of choice card were distributed to 526 respondents from three areas around Setiu Wetlands (SW), Terengganu, Malaysia using face to face survey method. The result from multinomial logit model showed that t...
红树林提供了多种生态和经济服务。但它们正面临着严重的威胁,几乎所有国家的年化萎缩率都很高。这种情况强调了决策者通过了解当地社区对红树林属性的偏好,对保护计划的持续可持续性做出有效的决策。为了实现这一目标,本文采用了首选的非市场评估技术之一——选择建模(CM)实验方法。CM在处理属性之间“权衡”的复杂模型时非常灵活,这使得在选定的红树林属性上建立群落选择模型成为可能,因此引起了研究人员的强烈兴趣。为了实现这一技术,采用面对面调查的方法,向来自马来西亚丁加奴塞提乌湿地(SW)周围三个地区的526名受访者分发了一系列选择卡。多项logit模型分析结果表明,环境保护的6个属性对群落偏好有显著影响。研究结果表明,森林红树林面积(MANREA)、水质(WATERQ)和红树林树苗价格(price)具有较高边际值的预期信号,有利于红树林的可持续管理。这一发现表明,当地社区可能会支持红树林保护管理倡议,促进红树林资源的可持续利用。红树林提供了多种生态和经济服务。但它们正面临着严重的威胁,几乎所有国家的年化萎缩率都很高。这种情况强调了决策者通过了解当地社区对红树林属性的偏好,对保护计划的持续可持续性做出有效的决策。为了实现这一目标,本文采用了首选的非市场评估技术之一——选择建模(CM)实验方法。CM在处理属性之间“权衡”的复杂模型时非常灵活,这使得在选定的红树林属性上建立群落选择模型成为可能,因此引起了研究人员的强烈兴趣。为了实现这一技术,采用面对面调查的方法,向来自马来西亚丁加奴塞提乌湿地(SW)周围三个地区的526名受访者分发了一系列选择卡。多项式逻辑模型的结果表明…
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引用次数: 0
Forecasting a state gross domestic product with logistic growth model 运用logistic增长模型预测国家国内生产总值
Pub Date : 2019-08-21 DOI: 10.1063/1.5121067
R. Rahim, Mohd Aliff Zikri
Gross Domestic Product (GDP) represents the total monetary value of all goods and services produced over a specific time period. This study models the GDP data of the state of Johor for year 2005-2016. A mathematical model is developed for the state GDP data using Logistic Growth model. The long-term equilibrium value for GDP were estimated using data for period 2005-2016 with different parameter values. The future GDP for the state were predicted using the suitable parameter value.Gross Domestic Product (GDP) represents the total monetary value of all goods and services produced over a specific time period. This study models the GDP data of the state of Johor for year 2005-2016. A mathematical model is developed for the state GDP data using Logistic Growth model. The long-term equilibrium value for GDP were estimated using data for period 2005-2016 with different parameter values. The future GDP for the state were predicted using the suitable parameter value.
国内生产总值(GDP)代表在特定时期内生产的所有商品和服务的总货币价值。本研究对柔佛州2005-2016年的GDP数据进行了建模。运用Logistic增长模型建立了国家GDP数据的数学模型。使用不同参数值的2005-2016年数据估计GDP的长期均衡值。利用合适的参数值预测了该州未来的GDP。国内生产总值(GDP)代表在特定时期内生产的所有商品和服务的总货币价值。本研究对柔佛州2005-2016年的GDP数据进行了建模。运用Logistic增长模型建立了国家GDP数据的数学模型。使用不同参数值的2005-2016年数据估计GDP的长期均衡值。利用合适的参数值预测了该州未来的GDP。
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引用次数: 0
A proposed java algorithm for default-recovery rate model 提出了一种用于默认恢复率模型的java算法
Pub Date : 2019-08-21 DOI: 10.1063/1.5121103
N. M. Yusof, Aini Hayati Anuar, Norsyaheeda Natasya Isa, Siti Hajar Mohd Mushar, M. L. Sapini
This paper presents a Proposed Java Algorithm for the Default-Recovery Rates (DRR) Model. The DRR Model is the extension to the Black-Scholes-Merton Model focusing on calculating the default and re...
本文提出了一种用于默认恢复率(DRR)模型的Java算法。DRR模型是对Black-Scholes-Merton模型的扩展,其重点是计算违约和违约。
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引用次数: 0
A proposed framework in assessing health risks associated with jogging using the dynamics of vital signs 使用生命体征动态评估与慢跑相关的健康风险的拟议框架
Pub Date : 2019-08-21 DOI: 10.1063/1.5121033
M. Decena, P. Aguila, Angela D. R. Estipular, Daniella Nicole C. Hernando
Over the years, several studies have been done on the benefits of jogging. Other than physical fitness, individuals who stay active in this sport get various forms of benefits. In fact, several studies have proven that jogging among men and women increase life expectancy. However, irregularities and varying frequencies in engaging in this form of physical activity may increase health risks. The study introduces a mathematical framework in assessing health risks associated in a strenuous physical activity such as jogging by testing for chaos in human vital signs. Dynamic physiological states of a jogger are interpreted whether chaotic or non-chaotic using Largest Lyapunov Exponent (LLE) test for chaos. Likewise, demographic variables such as age and gender are correlated to the occurrence of chaotic patterns using the Chi-Square Test for Independence which are used as a guide in evaluation of health risks derived from the frequency of jogging. This framework aims to provide guidelines in the reduction of risks associated to irregularities in jogging patterns. Based on results, whether a jogger is an early rise or a late rise, their vital signs indicate chaotic behavior. Whether a jogger is a female or male and of different age range, chaotic properties of their vital signs are confirmed through jogging patterns. Though a chaotic pattern is consistently exhibited throughout the jogging condition, the degree of chaos varies as reflected in changing values of LLE over the time interval.Over the years, several studies have been done on the benefits of jogging. Other than physical fitness, individuals who stay active in this sport get various forms of benefits. In fact, several studies have proven that jogging among men and women increase life expectancy. However, irregularities and varying frequencies in engaging in this form of physical activity may increase health risks. The study introduces a mathematical framework in assessing health risks associated in a strenuous physical activity such as jogging by testing for chaos in human vital signs. Dynamic physiological states of a jogger are interpreted whether chaotic or non-chaotic using Largest Lyapunov Exponent (LLE) test for chaos. Likewise, demographic variables such as age and gender are correlated to the occurrence of chaotic patterns using the Chi-Square Test for Independence which are used as a guide in evaluation of health risks derived from the frequency of jogging. This framework aims to provide guidelines in the reduction of r...
多年来,人们对慢跑的好处进行了几项研究。除了身体健康之外,参加这项运动的人还能得到各种各样的好处。事实上,一些研究已经证明,男性和女性的慢跑都能延长预期寿命。然而,参加这种形式的体育活动的不规律和不同频率可能会增加健康风险。该研究引入了一个数学框架,通过测试人体生命体征的混乱来评估与剧烈体育活动(如慢跑)相关的健康风险。利用混沌的最大李雅普诺夫指数(LLE)检验来解释慢跑者在混沌和非混沌状态下的动态生理状态。同样,使用卡方独立性检验,年龄和性别等人口统计变量与混乱模式的发生相关,卡方独立性检验被用作评估慢跑频率引起的健康风险的指南。此框架旨在提供指引,以减低因慢跑模式不正常而引致的风险。根据结果,无论慢跑者是早起还是晚起,他们的生命体征都显示出混乱的行为。无论慢跑者是男性还是女性,年龄范围不同,其生命体征的混沌性都可以通过慢跑模式得到证实。尽管在整个慢跑过程中始终表现出一种混沌模式,但混沌的程度是不同的,这反映在LLE随时间间隔的变化值上。多年来,人们对慢跑的好处进行了几项研究。除了身体健康之外,参加这项运动的人还能得到各种各样的好处。事实上,一些研究已经证明,男性和女性的慢跑都能延长预期寿命。然而,参加这种形式的体育活动的不规律和不同频率可能会增加健康风险。该研究引入了一个数学框架,通过测试人体生命体征的混乱来评估与剧烈体育活动(如慢跑)相关的健康风险。利用混沌的最大李雅普诺夫指数(LLE)检验来解释慢跑者在混沌和非混沌状态下的动态生理状态。同样,使用卡方独立性检验,年龄和性别等人口统计变量与混乱模式的发生相关,卡方独立性检验被用作评估慢跑频率引起的健康风险的指南。该框架旨在为减少r…
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引用次数: 0
User acceptance testing (UAT) for the development and evaluation of an automated learning style detection system 用于开发和评估自动学习风格检测系统的用户接受测试(UAT)
Pub Date : 2019-08-21 DOI: 10.1063/1.5121098
Fatihah Mohd, Wan Fatin Fatihah Yahya, M. Jalil, Suryani Ismail, N. M. M. Noor, Mohamad Nor Hasan
The purpose of this study is to determine the acceptable level of a proposed automated learning style detection system. This system was tested among teachers in schools based on a construct presented by the Unified Theory of Acceptance and Use of Technology (UTAUT) Model. A prototype application named VAKLeS was developed in order to evaluate user acceptance among the respondents. A combination of NeatBeans, Java, and MySQL was used to implement the learning style-based application to present the appropriate subject matter through content or activity, format, and platform type. VAKLeS was organized into two modules: the learning style module (student module) and decision support module (teacher module). The teacher acts as the decision maker while the student is the system user. The learning style of the user is evaluated based on his or her behavior when using the application. The two modules interact together to predict the user learning style. User testing was conducted for teachers to evaluate the performance of the system in detecting user learning style. VAKLeS was evaluated based on user acceptance testing (UAT). A set of questionnaires was distributed to ten respondents, who are domain expert in pre-school teaching. The questionnaire has 26 variables consisting of four core evaluation elements: performance expectations (nine variables), effort expectancy (seven variables), social influence (six variables), and facilitating conditions (three variables). These items are related to the usage of VAKLeS and are rated based on a seven-point Likert Scale. The finding of user acceptance was based on the average score of Strongly disagree (1) and Strongly agree (7). The findings of VAKLeS testing showed that the four elements evaluated was positive significantly with 5.87 for performance expectancy, 5.93 for effort expectancy, 6.03 for social influence, and 5.90 for facilitating condition. The finding of the UAT among the domain expert indicates that the proposed VAKLeS is acceptable and can be applied as an automated system for detecting VAK learning style based on the student’s behavioral pattern. Furthermore, the finding of this study also reveals that the proposed system, VAKLeS, significantly improved the ability of teachers to detect the learning style of their students.The purpose of this study is to determine the acceptable level of a proposed automated learning style detection system. This system was tested among teachers in schools based on a construct presented by the Unified Theory of Acceptance and Use of Technology (UTAUT) Model. A prototype application named VAKLeS was developed in order to evaluate user acceptance among the respondents. A combination of NeatBeans, Java, and MySQL was used to implement the learning style-based application to present the appropriate subject matter through content or activity, format, and platform type. VAKLeS was organized into two modules: the learning style module (student module) and decision supp
本研究的目的是确定一个拟议的自动学习风格检测系统的可接受水平。该系统基于技术接受与使用统一理论(UTAUT)模型提出的结构在学校教师中进行了测试。为了评估受访者的用户接受程度,开发了一个名为VAKLeS的原型应用程序。使用NeatBeans、Java和MySQL的组合来实现基于学习风格的应用程序,以通过内容或活动、格式和平台类型呈现适当的主题。VAKLeS分为两个模块:学习风格模块(学生模块)和决策支持模块(教师模块)。教师是系统的决策者,学生是系统的使用者。用户的学习风格是根据他或她在使用应用程序时的行为来评估的。这两个模块相互作用来预测用户的学习风格。对教师进行了用户测试,以评估系统在检测用户学习风格方面的表现。VAKLeS基于用户验收测试(UAT)进行评估。对10位在学前教育领域的专家进行了问卷调查。问卷共有26个变量,包括四个核心评价要素:绩效期望(9个变量)、努力期望(7个变量)、社会影响(6个变量)和便利条件(3个变量)。这些项目与VAKLeS的使用有关,并根据7分李克特量表进行评分。用户接受的结果是基于强烈不同意(1)和强烈同意(7)的平均得分。VAKLeS检验的结果显示,四个要素的评价是显著正的,其中绩效期望5.87,努力期望5.93,社会影响6.03,便利条件5.90。领域专家的发现表明,提出的VAKLeS是可以接受的,可以作为一个基于学生行为模式的VAK学习风格检测的自动化系统。此外,本研究的发现还表明,所提出的VAKLeS系统显著提高了教师发现学生学习风格的能力。本研究的目的是确定一个拟议的自动学习风格检测系统的可接受水平。该系统基于技术接受与使用统一理论(UTAUT)模型提出的结构在学校教师中进行了测试。为了评估受访者的用户接受程度,开发了一个名为VAKLeS的原型应用程序。使用NeatBeans、Java和MySQL的组合来实现基于学习风格的应用程序,以通过内容或活动、格式和平台类型呈现适当的主题。VAKLeS分为两个模块:学习风格模块(学生模块)和决策支持模块(教师模块)。教师是系统的决策者,学生是系统的使用者。用户的学习风格是根据他或她在使用应用程序时的行为来评估的。这两个模块相互作用来预测用户的学习风格。为教师进行了用户测试,以评估其使用效果。
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引用次数: 3
Optimal diet selection for university students using integer linear programming 基于整数线性规划的大学生最优饮食选择
Pub Date : 2019-08-21 DOI: 10.1063/1.5121081
Norazura Ahmad, Nurul Syazwanie Abdullah Sani, Noorsyazmira Mohamed Zaidi
The human diet selection is conducted by choosing the appropriate food items that fulfil the nutritional requirements into the diet formulation. This paper discusses the application of integer linear programming (ILP) to develop the mathematical model of diet selection for students in Universiti Utara Malaysia. The developed model is used to solve the diet problem of the students with lowest possible cost. The ILP model is formulated to select suitable food items, which seeks to minimize the costs under conditions of meeting desired nutrient quantities for a healthy student. The optimal result obtained from the ILP model revealed that the minimum cost of a healthy diet is RM10.50 per day.The human diet selection is conducted by choosing the appropriate food items that fulfil the nutritional requirements into the diet formulation. This paper discusses the application of integer linear programming (ILP) to develop the mathematical model of diet selection for students in Universiti Utara Malaysia. The developed model is used to solve the diet problem of the students with lowest possible cost. The ILP model is formulated to select suitable food items, which seeks to minimize the costs under conditions of meeting desired nutrient quantities for a healthy student. The optimal result obtained from the ILP model revealed that the minimum cost of a healthy diet is RM10.50 per day.
人类的饮食选择是通过选择适当的食物来满足饮食配方的营养需求。本文讨论了应用整数线性规划(ILP)来开发马来西亚北方大学学生饮食选择的数学模型。该模型旨在以最低的成本解决学生的饮食问题。ILP模型的制定是为了选择合适的食物项目,力求在满足健康学生所需营养量的条件下将成本降至最低。从ILP模型获得的最佳结果显示,健康饮食的最低成本为每天RM10.50。人类的饮食选择是通过选择适当的食物来满足饮食配方的营养需求。本文讨论了应用整数线性规划(ILP)来开发马来西亚北方大学学生饮食选择的数学模型。该模型旨在以最低的成本解决学生的饮食问题。ILP模型的制定是为了选择合适的食物项目,力求在满足健康学生所需营养量的条件下将成本降至最低。从ILP模型获得的最佳结果显示,健康饮食的最低成本为每天RM10.50。
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引用次数: 2
Examining features and critical success factors of shared services in higher learning institutions 探讨高等院校共享服务的特点和关键成功因素
Pub Date : 2019-08-21 DOI: 10.1063/1.5121119
J. Jais, Prashalini Naidu Raventhran
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引用次数: 0
The application of system thinking in solving complex problem: A case study of dengue transmission control policy 系统思维在解决复杂问题中的应用——以登革热传播控制政策为例
Pub Date : 2019-08-21 DOI: 10.1063/1.5121080
N. Z. Abidin, Ibnu Affan Jaafar, Azatuliffah Alwi
System thinking is a potential approach in solving a complex problems that is hard to solve using a conventional approach. At its core, systems thinking is aimed at seeing how things are connected to each other within the notion of a whole entity. This paper explains the use of system thinking in the dengue problem. As we know, the rapid growth of the dengue virus had led to a ride in public concern to the increase in cost burden, reported death and hospitalization cases. Therefore, providing an effective dengue control strategy is essential for reducing the dengue infected people in a cost effective manner. This paper discusses how a system thinking tool, named causal loop diagram tool was applied to the dengue control policy issue. A causal loop diagram is a development that contains major variables, cause-effect relations and feedback loops in dengue transmission, and a step by step guideline for the causal loop diagram development is provided.System thinking is a potential approach in solving a complex problems that is hard to solve using a conventional approach. At its core, systems thinking is aimed at seeing how things are connected to each other within the notion of a whole entity. This paper explains the use of system thinking in the dengue problem. As we know, the rapid growth of the dengue virus had led to a ride in public concern to the increase in cost burden, reported death and hospitalization cases. Therefore, providing an effective dengue control strategy is essential for reducing the dengue infected people in a cost effective manner. This paper discusses how a system thinking tool, named causal loop diagram tool was applied to the dengue control policy issue. A causal loop diagram is a development that contains major variables, cause-effect relations and feedback loops in dengue transmission, and a step by step guideline for the causal loop diagram development is provided.
系统思维是解决传统方法难以解决的复杂问题的一种潜在方法。在其核心,系统思考的目的是看到事物是如何在一个整体的概念内相互联系的。本文阐述了系统思维在登革热问题中的应用。我们知道,登革热病毒的迅速蔓延导致公众对费用负担、报告的死亡和住院病例增加的关注。因此,提供有效的登革热控制战略对于以具有成本效益的方式减少登革热感染者至关重要。本文讨论了如何将系统思维工具——因果循环图工具应用于登革热控制政策问题。因果循环图是一个包含登革热传播主要变量、因果关系和反馈回路的发展,并为因果循环图的发展提供了一步一步的指南。系统思维是解决传统方法难以解决的复杂问题的一种潜在方法。在其核心,系统思考的目的是看到事物是如何在一个整体的概念内相互联系的。本文阐述了系统思维在登革热问题中的应用。我们知道,登革热病毒的迅速蔓延导致公众对费用负担、报告的死亡和住院病例增加的关注。因此,提供有效的登革热控制战略对于以具有成本效益的方式减少登革热感染者至关重要。本文讨论了如何将系统思维工具——因果循环图工具应用于登革热控制政策问题。因果循环图是一个包含登革热传播主要变量、因果关系和反馈回路的发展,并为因果循环图的发展提供了一步一步的指南。
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引用次数: 1
Solving heat equations using extended B-spline alternating group explicit 用扩展b样条交替组显式求解热方程
Pub Date : 2019-08-21 DOI: 10.1063/1.5121070
Nur Aliah Izzati Rosman, N. Hamid, Ahmad Abd. Majid, A. Ismail
In this paper, Extended B-Spline Alternating Group Explicit (ExtBSPAGE) iterative method is proposed to solve one- dimensional diffusion equation which is the heat conduction equation. The Alternating Group Explicit (AGE) iterative method is derived from the cubic Extended B-Spline collocation technique. We only consider the stationary case with odd number of points with even number of interval for both time and space dimension. The comparison will be made based on AGE, Cubic B-Spline Alternating Group Explicit (BSPAGE), ExtBSPAGE iterative method and the exact solution.In this paper, Extended B-Spline Alternating Group Explicit (ExtBSPAGE) iterative method is proposed to solve one- dimensional diffusion equation which is the heat conduction equation. The Alternating Group Explicit (AGE) iterative method is derived from the cubic Extended B-Spline collocation technique. We only consider the stationary case with odd number of points with even number of interval for both time and space dimension. The comparison will be made based on AGE, Cubic B-Spline Alternating Group Explicit (BSPAGE), ExtBSPAGE iterative method and the exact solution.
本文提出了扩展b样条交替群显式(ExtBSPAGE)迭代法求解一维扩散方程即热传导方程。交替群显式迭代法(AGE)是由三次扩展b样条配置技术衍生而来的。在时间和空间维度上,我们只考虑奇数点和偶数间隔的平稳情况。将基于AGE、三次b样条交替群显式(BSPAGE)、ExtBSPAGE迭代法和精确解进行比较。本文提出了扩展b样条交替群显式(ExtBSPAGE)迭代法求解一维扩散方程即热传导方程。交替群显式迭代法(AGE)是由三次扩展b样条配置技术衍生而来的。在时间和空间维度上,我们只考虑奇数点和偶数间隔的平稳情况。将基于AGE、三次b样条交替群显式(BSPAGE)、ExtBSPAGE迭代法和精确解进行比较。
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引用次数: 0
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THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)
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