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Multistage Adomian Decomposition Method for Solving Initial Value Problem of Bratu-Type 求解bratu型初值问题的多阶段Adomian分解方法
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2017-03-01 DOI: 10.12816/0041808
M. Hasanzadeh, E. Osgooei
{"title":"Multistage Adomian Decomposition Method for Solving Initial Value Problem of Bratu-Type","authors":"M. Hasanzadeh, E. Osgooei","doi":"10.12816/0041808","DOIUrl":"https://doi.org/10.12816/0041808","url":null,"abstract":"The aim of this study is applying the Multistage Adomian Decomposition Method (MADM), based on the Adomian Decomposition Method (ADM) to solve an initial value problem of Bratu-type. The approximat-ed solutions are computed and then the numerical results compared those of ADM, Finally comparisons of the results show that the pro-posed method is very effective and accurate.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"57 15","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114050492","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
Characterizations of Weak Relatively Complemented Almost Distributive Lattices 弱相对互补几乎分配格的刻画
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2017-03-01 DOI: 10.12816/0041806
Ramesh Sirisetti, G. Jogarao
{"title":"Characterizations of Weak Relatively Complemented Almost Distributive Lattices","authors":"Ramesh Sirisetti, G. Jogarao","doi":"10.12816/0041806","DOIUrl":"https://doi.org/10.12816/0041806","url":null,"abstract":"In this paper, we characterize the class of weak relatively complemented almost distributive lattices in terms of α-ideals.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129108990","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
The Existence and Uniqueness of the Solution for Obstacle Problems with Variable Growth 变增长障碍问题解的存在唯一性
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2017-03-01 DOI: 10.12816/0041807
G. Lifeng, Jing Wang, Jinzi Liu
{"title":"The Existence and Uniqueness of the Solution for Obstacle Problems with Variable Growth","authors":"G. Lifeng, Jing Wang, Jinzi Liu","doi":"10.12816/0041807","DOIUrl":"https://doi.org/10.12816/0041807","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116413618","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 Some Čebyšev Type Inequalities for Functions Whose Second Derivatives Are Co-Ordinated Logarithmically Convex 二阶导数为协调对数凸函数的一些Čebyšev型不等式
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-12-01 DOI: 10.12816/0041839
B. Meftah, R. Haouam
{"title":"On Some Čebyšev Type Inequalities for Functions Whose Second Derivatives Are Co-Ordinated Logarithmically Convex","authors":"B. Meftah, R. Haouam","doi":"10.12816/0041839","DOIUrl":"https://doi.org/10.12816/0041839","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127593732","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 Results on Fuzzy Metric Spaces 关于模糊度量空间的一些结果
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-12-01 DOI: 10.12816/0041836
M. Rashid
{"title":"Some Results on Fuzzy Metric Spaces","authors":"M. Rashid","doi":"10.12816/0041836","DOIUrl":"https://doi.org/10.12816/0041836","url":null,"abstract":"In this paper, first some characterization of various fuzzy bounded sets in FM-spaces are given. Some important fixed point theorems for multi-valued mappings in FM-spaces will be given.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127419718","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: 364
Elzaki Transform and the Decomposition Method for Nonlinear Fractional Partial Differential Equations 非线性分数阶偏微分方程的Elzaki变换与分解方法
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-12-01 DOI: 10.12816/0041837
D. Ziane
{"title":"Elzaki Transform and the Decomposition Method for Nonlinear Fractional Partial Differential Equations","authors":"D. Ziane","doi":"10.12816/0041837","DOIUrl":"https://doi.org/10.12816/0041837","url":null,"abstract":"The aim of this paper is to make change to the application of the modified Adomian decomposition method suggested in [11] and we extend to obtaining solutions of nonlinear partial differential equations with time-fractional derivative. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122605193","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
Improved Genetic Algorithm to Solve Asymmetric Traveling Salesman Problem 求解不对称旅行商问题的改进遗传算法
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-12-01 DOI: 10.12816/0041838
O. Abdoun, C. Tajani, J. Abouchabaka
{"title":"Improved Genetic Algorithm to Solve Asymmetric Traveling Salesman Problem","authors":"O. Abdoun, C. Tajani, J. Abouchabaka","doi":"10.12816/0041838","DOIUrl":"https://doi.org/10.12816/0041838","url":null,"abstract":"The asymmetric traveling salesman problem (ATSP) is a combinatorial problem of great importance where the cost matrix is not symmetric, which complicates its resolution. The genetic algorithms (GAs) are a meta-heuristics methods used to solve transportation problems that have proved their effectiveness to obtain good results. However, improvements can be made by adapting the crossover operator as a primordial operator in GAs. In this work, we propose an adapted XIM crossover operator for the ATSP in order to improve the optimal solution obtained by GAs. Numerical simulations are performed and discussed for different series of standard instances showing the improvement of the optimal solution by the proposed genetic operator.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"33 1-2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116725739","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: 7
Remark on the Paper : The Monotonicity Results and Sharp Inequalities for Some Power-Type Means of Two Arguments 论文注释:两个参数的幂型均值的单调性结果和尖锐不等式
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-09-01 DOI: 10.12816/0033741
L. Matejícka
{"title":"Remark on the Paper : The Monotonicity Results and Sharp Inequalities for Some Power-Type Means of Two Arguments","authors":"L. Matejícka","doi":"10.12816/0033741","DOIUrl":"https://doi.org/10.12816/0033741","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121196622","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
Decomposition of an Ortholattice 正正交的分解
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-09-01 DOI: 10.12816/0033739
P. Sundarayya, Ramesh Sirisetti, V. Sriramani
{"title":"Decomposition of an Ortholattice","authors":"P. Sundarayya, Ramesh Sirisetti, V. Sriramani","doi":"10.12816/0033739","DOIUrl":"https://doi.org/10.12816/0033739","url":null,"abstract":"In this paper B-elements and C-elements are defined in an ortholattice. We obtain an equivalent condition for an ortholattice to become a distributive lattice and hence Boolean algebra in terms of B-elements. Using B-elements two congruences are studied. Finally for each C-element, we obtain a decomposition for an ortholattice.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125968124","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
Fractional Reduced Differential Transform Method for Numerical Computation of a System of Linear and Nonlinear Fractional Partial Differential Equations 线性和非线性分数阶偏微分方程组数值计算的分数阶降阶微分变换方法
International Journal of Open Problems in Computer Science and Mathematics Pub Date : 2016-09-01 DOI: 10.12816/0033742
B. K. Singh
{"title":"Fractional Reduced Differential Transform Method for Numerical Computation of a System of Linear and Nonlinear Fractional Partial Differential Equations","authors":"B. K. Singh","doi":"10.12816/0033742","DOIUrl":"https://doi.org/10.12816/0033742","url":null,"abstract":"This paper presents an alternative numerical computation of a system of linear and nonlinear fractional partial differential equations obtained by employing fractional reduced differential transform method (FRDTM), where Caputo type fractional derivative is taken. The effectiveness and convergence of FRDTM is tested by means of four problems, which indicate the validity and great potential of the FRDTM for solving system of fractional partial differential equations.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"1154 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123347216","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: 20
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