Pub Date : 2019-04-29DOI: 10.1504/IJMMNO.2019.10020921
J. Ntaganda, J. Niyobuhungiro, Wellars Banzi, L. Mpinganzima, Froduald Minani, J. Gahutu, V. Dusabejambo, I. Kambutse
In this paper, we present a nonlinear dynamic model for the interactive mechanism of cardiovascular and respiratory system. The model is designed and analysed for human during physical exercises. In order toverify the adequacy of the designed model, data collected in Rwanda are used for validation. We have simulated the impact of heart rate and alveolar ventilation as controls of cardiovascular and respiratory system respectively to steady state response of the main cardiovascular hemodynamic quantities, i.e., systemic arterial and venous blood pressures, arterial oxygen partial pressure and arterial carbon dioxide partial pressure, to the stabilised values of controls. We used data collected in Rwanda for both male and female during physical activities. We obtained a good agreement with physiological data in the literature. The model may represent an important tool to improve the understanding of exercise physiology.
{"title":"Mathematical modelling of human cardiovascular-respiratory system responses to exercise in Rwanda","authors":"J. Ntaganda, J. Niyobuhungiro, Wellars Banzi, L. Mpinganzima, Froduald Minani, J. Gahutu, V. Dusabejambo, I. Kambutse","doi":"10.1504/IJMMNO.2019.10020921","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10020921","url":null,"abstract":"In this paper, we present a nonlinear dynamic model for the interactive mechanism of cardiovascular and respiratory system. The model is designed and analysed for human during physical exercises. In order toverify the adequacy of the designed model, data collected in Rwanda are used for validation. We have simulated the impact of heart rate and alveolar ventilation as controls of cardiovascular and respiratory system respectively to steady state response of the main cardiovascular hemodynamic quantities, i.e., systemic arterial and venous blood pressures, arterial oxygen partial pressure and arterial carbon dioxide partial pressure, to the stabilised values of controls. We used data collected in Rwanda for both male and female during physical activities. We obtained a good agreement with physiological data in the literature. The model may represent an important tool to improve the understanding of exercise physiology.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83947902","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}
Nowadays, the importance for multilevel inverters is getting more and more in the field of medium and high power applications. This paper discusses Packed U Cell (PUC) multilevel inverter which is the most advanced topology. The figure of merit of this topology is reduction in the number of switches as level increases. Hence, it reduces the cost implementation besides topology complexity compared to other existing topologies such as neutral-point clamping (NPC), flying capacitor (FC), cascaded H-bridge (CHB) and hybrid cascaded H-bridge (HCHB). Furthermore, there is no need of transformers in this whole concept. Hence, it avoids the bulky installations. The 3-⌀ induction motor is fed with 7, 15 and 31 levels Packed U Cell (PUC) inverter topologies individually. The stator current, speed response and electromagnetic torque is shown for each level. The performance of induction motor is analysed in terms of % torque ripples and % total harmonic distortion (%THD). The whole simulations are carried out by using MATLAB/Simulink version R2012b.
目前，多电平逆变器在中大功率领域的应用越来越受到重视。本文讨论了最先进的拓扑结构PUC (Packed U Cell)多电平逆变器。这种拓扑的优点是随着电平的增加，交换机的数量减少。因此，与其他现有的拓扑结构(如中点箝位(NPC)，飞行电容器(FC)，级联h桥(CHB)和混合级联h桥(HCHB))相比，它降低了实现成本和拓扑复杂性。此外，在整个概念中不需要变压器。因此，它避免了庞大的安装。该3- 感应电机馈电与7,15和31级包装U单元(PUC)逆变器拓扑单独。每个电平的定子电流、速度响应和电磁转矩均显示。用转矩脉动%和总谐波失真%对异步电动机的性能进行了分析。整个仿真采用MATLAB/Simulink R2012b版本进行。
{"title":"Performance analysis and design optimisation of 3-⌀ Packed U Cell inverter for industrial drive applications","authors":"Rajanand Patnaik Narasipuram, Ravindranath Tagore Yadlapalli","doi":"10.1504/IJMMNO.2019.10020920","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10020920","url":null,"abstract":"Nowadays, the importance for multilevel inverters is getting more and more in the field of medium and high power applications. This paper discusses Packed U Cell (PUC) multilevel inverter which is the most advanced topology. The figure of merit of this topology is reduction in the number of switches as level increases. Hence, it reduces the cost implementation besides topology complexity compared to other existing topologies such as neutral-point clamping (NPC), flying capacitor (FC), cascaded H-bridge (CHB) and hybrid cascaded H-bridge (HCHB). Furthermore, there is no need of transformers in this whole concept. Hence, it avoids the bulky installations. The 3-⌀ induction motor is fed with 7, 15 and 31 levels Packed U Cell (PUC) inverter topologies individually. The stator current, speed response and electromagnetic torque is shown for each level. The performance of induction motor is analysed in terms of % torque ripples and % total harmonic distortion (%THD). The whole simulations are carried out by using MATLAB/Simulink version R2012b.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84757736","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}
Pub Date : 2019-04-29DOI: 10.1504/IJMMNO.2019.10020910
A. Jameel, N. Anakira, A. Alomari, M. Al-mahameed, A. Saaban
In this paper, an approximate analytical algorithm namely homotopy analysis method (HAM) is presented for the first time to obtain approximate analytical solutions of first order fuzzy delay differential equations (FDDEs). This method allows for the solution of the FDDEs to be calculated in the form of an infinite series with the components that can be easily calculated. The HAM utilises a convergence control parameter the convergence region of the infinite series solution. Numerical examples are tested to highlight the important features of the HAM algorithm.
{"title":"A new approximate solution of the fuzzy delay differential equations","authors":"A. Jameel, N. Anakira, A. Alomari, M. Al-mahameed, A. Saaban","doi":"10.1504/IJMMNO.2019.10020910","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10020910","url":null,"abstract":"In this paper, an approximate analytical algorithm namely homotopy analysis method (HAM) is presented for the first time to obtain approximate analytical solutions of first order fuzzy delay differential equations (FDDEs). This method allows for the solution of the FDDEs to be calculated in the form of an infinite series with the components that can be easily calculated. The HAM utilises a convergence control parameter the convergence region of the infinite series solution. Numerical examples are tested to highlight the important features of the HAM algorithm.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90669360","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}
Pub Date : 2019-04-29DOI: 10.1504/IJMMNO.2019.10020917
A. Atangana, E. D. Goufo
The garden equation is a nonlinear partial differential equation that has application in more than two different fields. In this paper, we use the Caputo-Fabrizio derivative with fractional order to extend this model to the concept of fractional calculus. In the process, we prove that the new derivative satisfies the equality of mixed partial and in the extended equation, we present the analysis of existence and uniqueness of the exact solution. We propose a special solution using the Laplace iterative methods. Some numerical simulations are preformed for different values of alpha and also the perturbed parameter.
{"title":"The Caputo-Fabrizio fractional derivative applied to a singular perturbation problem","authors":"A. Atangana, E. D. Goufo","doi":"10.1504/IJMMNO.2019.10020917","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10020917","url":null,"abstract":"The garden equation is a nonlinear partial differential equation that has application in more than two different fields. In this paper, we use the Caputo-Fabrizio derivative with fractional order to extend this model to the concept of fractional calculus. In the process, we prove that the new derivative satisfies the equality of mixed partial and in the extended equation, we present the analysis of existence and uniqueness of the exact solution. We propose a special solution using the Laplace iterative methods. Some numerical simulations are preformed for different values of alpha and also the perturbed parameter.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72759395","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}
Pub Date : 2019-01-28DOI: 10.1504/IJMMNO.2019.10018803
Parameswara Rao Nakkina, K. A. Prakash, G. Kumar
Numerical simulations of fluid flow through various spiral casings like accelerated, free vortex and decelerated type with different aspect ratios (AR) are carried out to construct surrogates. These surrogates are utilised for analysing design sensitivity of spiral casing to obtain its optimal design. Responses like spiral velocity coefficient, total pressure loss and average radial velocities obtained from numerical computations are used for surrogates' construction. Different surrogate models considered are Kriging, polynomial response surface, support vector regression and weighted average surrogate. Surrogates are validated using average error analysis for the selection of best surrogate. Weighted average surrogate performs well in most of the cases among all responses. Near optimal solutions obtained from the best surrogates are proposed.
{"title":"A surrogate model-based method to obtain optimal design in spiral casing of Francis turbine","authors":"Parameswara Rao Nakkina, K. A. Prakash, G. Kumar","doi":"10.1504/IJMMNO.2019.10018803","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10018803","url":null,"abstract":"Numerical simulations of fluid flow through various spiral casings like accelerated, free vortex and decelerated type with different aspect ratios (AR) are carried out to construct surrogates. These surrogates are utilised for analysing design sensitivity of spiral casing to obtain its optimal design. Responses like spiral velocity coefficient, total pressure loss and average radial velocities obtained from numerical computations are used for surrogates' construction. Different surrogate models considered are Kriging, polynomial response surface, support vector regression and weighted average surrogate. Surrogates are validated using average error analysis for the selection of best surrogate. Weighted average surrogate performs well in most of the cases among all responses. Near optimal solutions obtained from the best surrogates are proposed.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87567248","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}
Pub Date : 2019-01-28DOI: 10.1504/IJMMNO.2019.10018807
K. M. Owolabi
In recent years, many investigators have questioned the use of convectional diffusion equation to model many physical or real life situations. As a result, fractional space derivatives have been proposed to model anomalous diffusion or related processes, where a particle plume spreads at inconsistent rate with the classical Brownian motion model. By replacing the second derivative in the classical diffusion model with fractional derivative, results to enhance a process known as superdiffusion. A high-dimensional predator-prey reaction-diffusion system with Holling-type III functional response, where the usual second-order derivatives give place to a fractional derivative of order α with 1 < α ≤ 2. Analysis of the main equation guides in the correct choice of parameter values. We established the condition for local and global stabilities. We also show that the system undergoes a Hopf bifurcation subject to a small perturbation of the steady-state solution. The complexity of fractional derivative at some instances of order α for the superdiffusive scenario is demonstrated with some numerical experiments in one, two and three dimensions. The effectiveness of the numerical method is demonstrated through numerical simulations to confirm the theoretical results.
{"title":"Mathematical analysis and numerical simulation of a fractional reaction-diffusion system with Holling-type III functional response","authors":"K. M. Owolabi","doi":"10.1504/IJMMNO.2019.10018807","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10018807","url":null,"abstract":"In recent years, many investigators have questioned the use of convectional diffusion equation to model many physical or real life situations. As a result, fractional space derivatives have been proposed to model anomalous diffusion or related processes, where a particle plume spreads at inconsistent rate with the classical Brownian motion model. By replacing the second derivative in the classical diffusion model with fractional derivative, results to enhance a process known as superdiffusion. A high-dimensional predator-prey reaction-diffusion system with Holling-type III functional response, where the usual second-order derivatives give place to a fractional derivative of order α with 1 < α ≤ 2. Analysis of the main equation guides in the correct choice of parameter values. We established the condition for local and global stabilities. We also show that the system undergoes a Hopf bifurcation subject to a small perturbation of the steady-state solution. The complexity of fractional derivative at some instances of order α for the superdiffusive scenario is demonstrated with some numerical experiments in one, two and three dimensions. The effectiveness of the numerical method is demonstrated through numerical simulations to confirm the theoretical results.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82164707","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}
Pub Date : 2019-01-28DOI: 10.1504/IJMMNO.2019.10018806
M. Zoriehhabib, M. Rostamy-Malkhalifeh, F. Lotfi
This paper discusses an indirect portion oriented approach based on a traditional data envelopment analysis (DEA), requiring a proportional reduction of undesirable outputs. The proposed technique prepares an accommodation of undesirable factors in their primary form. In particular, this study is interested in the concept of weak disposability axioms. Given a decreased output vector, each decision making unit attempts to decrease a vector of desirable outputs proportionally with respect to the least wastage. These issues lead to the development of a model based on the weak disposable technology which can analyse the changeable production with reduction of both the desirable and undesirable outputs. Real-life data of 22 organisation for economic cooperation and development (OECD) countries is used in the empirical analysis. This analysis demonstrates that the proposed model is suitable for any assessment involving the proportional reduction of output indicators when undesirable outputs are presented. To achieve this aim the proposed epsilon-based model is applied to evaluate the efficiency of data for 27 Japanese electric power companies.
{"title":"Environmental assessment and dealing with undesirable outputs: DEA-based approach","authors":"M. Zoriehhabib, M. Rostamy-Malkhalifeh, F. Lotfi","doi":"10.1504/IJMMNO.2019.10018806","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10018806","url":null,"abstract":"This paper discusses an indirect portion oriented approach based on a traditional data envelopment analysis (DEA), requiring a proportional reduction of undesirable outputs. The proposed technique prepares an accommodation of undesirable factors in their primary form. In particular, this study is interested in the concept of weak disposability axioms. Given a decreased output vector, each decision making unit attempts to decrease a vector of desirable outputs proportionally with respect to the least wastage. These issues lead to the development of a model based on the weak disposable technology which can analyse the changeable production with reduction of both the desirable and undesirable outputs. Real-life data of 22 organisation for economic cooperation and development (OECD) countries is used in the empirical analysis. This analysis demonstrates that the proposed model is suitable for any assessment involving the proportional reduction of output indicators when undesirable outputs are presented. To achieve this aim the proposed epsilon-based model is applied to evaluate the efficiency of data for 27 Japanese electric power companies.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81090246","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}
Pub Date : 2019-01-28DOI: 10.1504/IJMMNO.2019.10018805
B. Bounibane, E. A. Djeffal
We propose a primal-dual interior-point algorithm for linear optimisation based on a class of kernel functions which is eligible. New search directions and proximity measures are defined based on these functions. We derive the complexity bounds for large and small-update methods respectively. These are currently the best known complexity results for such methods.
{"title":"Kernel function-based interior-point algorithms for linear optimisation","authors":"B. Bounibane, E. A. Djeffal","doi":"10.1504/IJMMNO.2019.10018805","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10018805","url":null,"abstract":"We propose a primal-dual interior-point algorithm for linear optimisation based on a class of kernel functions which is eligible. New search directions and proximity measures are defined based on these functions. We derive the complexity bounds for large and small-update methods respectively. These are currently the best known complexity results for such methods.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91523214","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}
Pub Date : 2019-01-28DOI: 10.1504/IJMMNO.2019.10018804
M. K. Singh, S. Natesan
This article presents a numerical scheme to solve singularly perturbed system of 2D parabolic convection-diffusion problem exhibiting exponential boundary layers. The numerical scheme consists of a fractional implicit-Euler scheme on uniform mesh for time discretisation and the classical upwind scheme on a piecewise uniform Shishkin mesh for spatial discretisation. For the proposed scheme, the stability analysis is presented and parameter-uniform error estimates are derived. It is shown that the numerical scheme is uniformly convergent with respect to the singular perturbation parameter. The proposed method is applied to a test problem to verify theoretical results numerically.
{"title":"A robust computational method for singularly perturbed system of 2D parabolic convection-diffusion problems","authors":"M. K. Singh, S. Natesan","doi":"10.1504/IJMMNO.2019.10018804","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10018804","url":null,"abstract":"This article presents a numerical scheme to solve singularly perturbed system of 2D parabolic convection-diffusion problem exhibiting exponential boundary layers. The numerical scheme consists of a fractional implicit-Euler scheme on uniform mesh for time discretisation and the classical upwind scheme on a piecewise uniform Shishkin mesh for spatial discretisation. For the proposed scheme, the stability analysis is presented and parameter-uniform error estimates are derived. It is shown that the numerical scheme is uniformly convergent with respect to the singular perturbation parameter. The proposed method is applied to a test problem to verify theoretical results numerically.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89731758","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}
Pub Date : 2019-01-01DOI: 10.1504/IJMMNO.2019.096920
Mohamed Abdel-Basset, I. El-Henawy, Nabil Diab
In the field of eclipsing binary stars, the relative coordinate positions of each star with respect to the other stars in the system are adapted. Therefore the orbital parameters of the system will be adapted by the criterion of dynamical and physical (photometric) properties. Orbital elements have been determined for binaries from a combination of velocities in the literature. The formulas that are obtained for computing the orbital elements are determined from the directions of the bases of space data. So the present work is a new presented method for the determination of optimal orbital elements of binary stars based on flower pollination algorithm. The proposed algorithm seek to solve the problem of detecting global minimisers as a function instead of problem of finding periodic orbits, to get a best fit of Keplerian and phase curves. The experimental results implemented on star η Bootis of MK type G0 IV. Demonstrate that the flower pollination algorithm (FPA) reaches good results compared to the results of the standard particle swarm optimisation and other optimisation algorithms.
在双星食场中，每颗星相对于系统中其他恒星的相对坐标位置进行了调整。因此，系统的轨道参数将根据动力学和物理(光度)性质进行调整。在文献中，双星的轨道元是由速度组合确定的。计算轨道元的公式是根据空间数据基底的方向确定的。本文提出了一种基于花授粉算法确定双星最优轨道元的新方法。提出的算法寻求解决作为一个函数来检测全局最小值的问题，而不是寻找周期轨道的问题，以获得开普勒曲线和相位曲线的最佳拟合。在MK型G0 IV型star η Bootis上进行的实验结果表明，与标准粒子群优化算法和其他优化算法相比，FPA算法取得了较好的效果。
{"title":"Optimal orbital elements of binary stars based on flower pollination algorithm","authors":"Mohamed Abdel-Basset, I. El-Henawy, Nabil Diab","doi":"10.1504/IJMMNO.2019.096920","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.096920","url":null,"abstract":"In the field of eclipsing binary stars, the relative coordinate positions of each star with respect to the other stars in the system are adapted. Therefore the orbital parameters of the system will be adapted by the criterion of dynamical and physical (photometric) properties. Orbital elements have been determined for binaries from a combination of velocities in the literature. The formulas that are obtained for computing the orbital elements are determined from the directions of the bases of space data. So the present work is a new presented method for the determination of optimal orbital elements of binary stars based on flower pollination algorithm. The proposed algorithm seek to solve the problem of detecting global minimisers as a function instead of problem of finding periodic orbits, to get a best fit of Keplerian and phase curves. The experimental results implemented on star η Bootis of MK type G0 IV. Demonstrate that the flower pollination algorithm (FPA) reaches good results compared to the results of the standard particle swarm optimisation and other optimisation algorithms.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77817934","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}
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