{"title":"A NEW FAMILY OF SECOND-ORDER ITERATIVE METHODS FOR COMPUTING THE MOORE PENROSE INVERSE BASED ON PENROSE EQUATIONS","authors":"Zainab Abu Iram, Ali Zein","doi":"10.12732/ijam.v35i3.1","DOIUrl":"https://doi.org/10.12732/ijam.v35i3.1","url":null,"abstract":": A new family of second-order iterative algorithms for computing the Moore-Penrose inverse is developed. The construction of this algorithm is based on the usage of Penrose Equations (1) and (2). Convergence properties are considered. Numerical results are also presented and a comparison with Newton’s method is made. It is observed that the new methods require less number of iterations than that of Newton’s method. In addition, numerical experiments show that these methods are more effective than Newton’s method when the number of columns increases than the number of rows.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114654379","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":"SOLITON SOLUTIONS OF THE LOADED MODIFIED CALOGERO-DEGASPERIS EQUATION","authors":"B. Babajanov, F. Abdikarimov","doi":"10.12732/ijam.v35i3.2","DOIUrl":"https://doi.org/10.12732/ijam.v35i3.2","url":null,"abstract":": In this article, we construct exact travelling wave solutions of the loaded modified Calogero-Degasperis equation by ( G ′ /G ) - expansion method. The efficiency of this method for finding these exact solutions has been demonstrated. We establish several classes of explicit solutions - hyperbolic and trigonometric solutions containing free parameters. The solitary wave solutions of this equation follow from the traveling wave solutions for certain values of the parameters. All calculations have been made with the aid of Matlab program. Our results reveal that the method is a very effective and straightfor-ward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114841508","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 ZEROS OF AN ENTIRE FUNCTION HAVING AN INTEGRAL REPRESENTATION AND COINCIDING WITH EXPONENTIAL-TYPE QUASIPOLYNOMS","authors":"N. Imanbaev","doi":"10.12732/ijam.v35i3.6","DOIUrl":"https://doi.org/10.12732/ijam.v35i3.6","url":null,"abstract":": In this paper, we study zeros of an entire function of the following special form: which is a linear combination of functions previously studied in [18], [19], [20], [21] associated with regular differential operators of the third and first orders on an interval.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130454452","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 THE GENERALIZED KOBER TYPE FRACTIONAL $q$-INTEGRAL OPERATOR INVOLVING A BASIC ANALOGUE OF $H$-FUNCTION","authors":"J. Castillo, L. Galu'{e}","doi":"10.12732/ijam.v35i2.4","DOIUrl":"https://doi.org/10.12732/ijam.v35i2.4","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124800934","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":"WEAKLY-H CONTRACTION FIXED POINT THEOREM IN b-MENGER SPACES","authors":"A. Mbarki, J. Hlal","doi":"10.12732/ijam.v35i2.2","DOIUrl":"https://doi.org/10.12732/ijam.v35i2.2","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129693522","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":"DESIGNING AN OUTPATIENT-APPOINTMENT SCHEDULING USING AHP AND SIMULATED ANNEALING","authors":"Y. Khawaled, M. Alrefaei, M. Smadi, A. Alawneh","doi":"10.12732/ijam.v35i2.6","DOIUrl":"https://doi.org/10.12732/ijam.v35i2.6","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125265940","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":"STUDY THE NONEXISTENCE OF RADIAL POSITIVE SOLUTIONS FOR A CLASS OF NONPOSITONE SEMILNEAR ELLIPTIC SYSTEMS","authors":"S. Hakimi","doi":"10.12732/ijam.v35i2.5","DOIUrl":"https://doi.org/10.12732/ijam.v35i2.5","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"180 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115824989","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":"NUMERICAL ANALYSIS ON UNSTEADY MHD FLOW AND HEAT TRANSFER OVER AN INCLINED STRETCHING SURFACE IN A POROUS MEDIUM WITH HEAT SOURCE AND VARIABLE MAGNETIC FIELD ANGLE","authors":"G. Buzuzi, G. Makanda","doi":"10.12732/ijam.v35i2.1","DOIUrl":"https://doi.org/10.12732/ijam.v35i2.1","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114887793","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}