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.
{"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":null,"pages":null},"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}
In this paper, we characterize the class of weak relatively complemented almost distributive lattices in terms of α-ideals.
在本文中，我们用α-理想刻画了一类弱相对互补几乎分配格。
{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
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.
{"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":null,"pages":null},"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}
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.
{"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":null,"pages":null},"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}
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.
{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
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.
{"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":null,"pages":null},"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}
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.
{"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":null,"pages":null},"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}
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