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On the numerical investigations of the time-fractional modified Burgers’ equation with conformable derivative, and its stability analysis 具有适形导数的时间分数阶修正Burgers方程的数值研究及其稳定性分析
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/6921
Adel R. Hadhoud, F. A. Alaal, Ayman A. Abdelaziz
{"title":"On the numerical investigations of the time-fractional modified Burgers’ equation with conformable derivative, and its stability analysis","authors":"Adel R. Hadhoud, F. A. Alaal, Ayman A. Abdelaziz","doi":"10.28919/jmcs/6921","DOIUrl":"https://doi.org/10.28919/jmcs/6921","url":null,"abstract":"In this paper, we aim to introduce the cubic non-polynomial spline functions to develop a computational method for solving the fractional modified Burgers’ equation. Using the Von Neumann method, the proposed approach is shown to be conditionally stable. The proposed approach has been implemented on two test problems. The obtained results indicate that the proposed approach is a good option for solving the fractional modified Burgers’ equation. The error norms l2 and l∞ have been determined to validate the accuracy and efficiency of the proposed method. The numerical solution of such kinds of models has been the key interest of researchers due to their wide range of applications in real life, optical fibers, solid-state physics, biology, plasma physics, fluid dynamics, number theory, chemical kinetics, turbulence theory, heat conduction, gas dynamics.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81991821","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
Results on unicity of meromorphic function with its shift and q-difference 亚纯函数及其移位和q差的唯一性结果
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/6454
{"title":"Results on unicity of meromorphic function with its shift and q-difference","authors":"","doi":"10.28919/jmcs/6454","DOIUrl":"https://doi.org/10.28919/jmcs/6454","url":null,"abstract":"","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"288 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76635113","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
Modelling the prevalence of malnutrition toddlers using Bayesian semiparametric regression 利用贝叶斯半参数回归对幼儿营养不良患病率进行建模
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/7385
Rosa Rosmanah, Y. Andriyana, Anindya Apriliyanti Pravitasari
{"title":"Modelling the prevalence of malnutrition toddlers using Bayesian semiparametric regression","authors":"Rosa Rosmanah, Y. Andriyana, Anindya Apriliyanti Pravitasari","doi":"10.28919/jmcs/7385","DOIUrl":"https://doi.org/10.28919/jmcs/7385","url":null,"abstract":": The malnutrition toddler is caused by low consumption of energy and protein and other socio-economic variables. The units of analysis in this study are all provinces in Indonesia. This study uses five explanatory variables which are indicated to have an effect on increasing or decreasing the weight of toddlers. Based on the preliminary exploration of data, the Bayesian Semiparametric model was considered. The results showed that complete basic immunization and education variables had a negative effect on the malnutrition. Therefore, the more toddlers who received complete basic immunization and the more educated the population in an area, the incidence of malnutrition could be reduced. The results of this study also found that birth weight and exclusive breastfeeding had no effect on malnutrition. This can happen because malnutrition can be prevented by improving the nutrition of toddlers even though, at birth, they have low body weight, and vice versa, malnutrition can occur in toddlers even though they are exclusively breastfed when they are under six months old. The variable of poverty has a positive effect on increasing the malnutrition.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73958800","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
Systematic testing of explicit positivity preserving algorithms for the heat-equation 热方程显式保正算法的系统检验
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/7407
{"title":"Systematic testing of explicit positivity preserving algorithms for the heat-equation","authors":"","doi":"10.28919/jmcs/7407","DOIUrl":"https://doi.org/10.28919/jmcs/7407","url":null,"abstract":"","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"72 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74363630","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
Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces gb -度量空间中α-Meir-Keeler收缩映射的不动点
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/6826
M. B. Devi
{"title":"Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces","authors":"M. B. Devi","doi":"10.28919/jmcs/6826","DOIUrl":"https://doi.org/10.28919/jmcs/6826","url":null,"abstract":"unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this note, we define the notion of Meir-Keeler contraction in Gb-metric spaces. Further, by adding the concept of α-admissible, we introduce the definition of generalised α-Meir-Keeler contraction and used it for examining the existence of fixed points and uniqueness. Various results are also given as consequence of our results.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"92 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83795336","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 square sum difference coloring of graphs 图的平方和差分着色
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/7466
{"title":"On square sum difference coloring of graphs","authors":"","doi":"10.28919/jmcs/7466","DOIUrl":"https://doi.org/10.28919/jmcs/7466","url":null,"abstract":"","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83061678","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
Fixed point theorem on partial metric space using weakly compatible and reciprocal continuous mappings 利用弱相容和互易连续映射的偏度量空间不动点定理
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/6649
B. Mallesh, V. Srinivas
{"title":"Fixed point theorem on partial metric space using weakly compatible and reciprocal continuous mappings","authors":"B. Mallesh, V. Srinivas","doi":"10.28919/jmcs/6649","DOIUrl":"https://doi.org/10.28919/jmcs/6649","url":null,"abstract":"Common fixed point theorem for four self-maps on partial metric spaces by using reciprocally continuous mappings along with compatible and weakly compatible mappings is proved in this paper. We justify the result with an appropriate example.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"R-36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84563884","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
Sumudu transform HPM for Klein-Gordon and Sine-Gordon equations in one dimension from an analytical aspect 从解析的角度分析一维Klein-Gordon和sin - gordon方程的Sumudu变换HPM
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/6979
Mamta Kapoor
{"title":"Sumudu transform HPM for Klein-Gordon and Sine-Gordon equations in one dimension from an analytical aspect","authors":"Mamta Kapoor","doi":"10.28919/jmcs/6979","DOIUrl":"https://doi.org/10.28919/jmcs/6979","url":null,"abstract":"In the present research work, a hybrid algorithm is introduced, which includes an integral transform “Sumudu Transform” and the well-known semi-analytical regime “Homotopy Perturbation Method” named as “Sumudu Transform Homotopy Perturbation Method (STHPM)” to evaluate the exact solution of Klein-Gordon and Sine-Gordon equations. The discussed equations in this research have a prominent role in sciences and engineering. The authenticity and efficacy of this regime are established via a comparison between approximated solutions and exact solutions. Convergence analysis is also provided, which affirms that the solution obtained from STHPM is convergent and unique in nature. The results obtained by STHPM are compared with exact solutions. 2D and 3D plots are also discussed. The present regime is a reliable technique to provide the exact solution to a wide category of nonlinear PDEs in an easy way, without any need of discretization, complex computation, linearization, and it is also","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74480755","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: 4
Estimation of groundwater variations in an anisotropic leaky aquifer: A ditch drain model 各向异性渗漏含水层中地下水变化的估计:一个沟渠排水模型
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/7070
{"title":"Estimation of groundwater variations in an anisotropic leaky aquifer: A ditch drain model","authors":"","doi":"10.28919/jmcs/7070","DOIUrl":"https://doi.org/10.28919/jmcs/7070","url":null,"abstract":"","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78630805","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 convolution property of HY transform and its applications HY变换的卷积性质及其应用
Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI: 10.28919/jmcs/7187
A. Wiwatwanich
{"title":"On convolution property of HY transform and its applications","authors":"A. Wiwatwanich","doi":"10.28919/jmcs/7187","DOIUrl":"https://doi.org/10.28919/jmcs/7187","url":null,"abstract":"unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we have given a new application of HY transform. The convolution property for HY transform is obtained. We used this new result to solve integral equations and fractional integral equation. Few examples have been presented to illustrate the efficiency of the property.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86048618","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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