{"title":"PRODUCT OF THE GENERALIZED FUNCTIONS ${{x_ - }^{ - k}}$ AND ${delta ^{left( p right)}}left( x right)$ IN COLOMBEAU ALGEBRA","authors":"M. Miteva, B. Jolevska-Tuneska, L. Lazarova","doi":"10.12732/ijam.v35i1.11","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.11","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127739435","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 STABILITY OF THE THIRD ORDER PARTIAL DELAY DIFFERENTIAL EQUATION WITH NONLOCAL BOUNDARY CONDITIONS","authors":"A. Ashyralyev, S. Ibrahim, E. Hıncal","doi":"10.12732/ijam.v35i1.1","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.1","url":null,"abstract":": In the present paper, the stability of the initial value problem for the third order partial delay differential equation with nonlocal boundary condition is studied. The first of accuracy absolute stable difference scheme for solution of this problem is presented. Stability estimates for solution of this difference scheme are proved. Numerical results are provided.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130552900","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":"COMPARISON OF APPORTIONMENT METHODS IN BULGARIAN ELECTIONS","authors":"M. Konstantinov, J. Boneva","doi":"10.12732/ijam.v35i1.12","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.12","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133151353","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 SOLUTION OF VOLTERRA NONLINEAR INTEGRAL EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD","authors":"N. Ahmad, B. Singh","doi":"10.12732/ijam.v35i1.3","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.3","url":null,"abstract":"In this paper we introduce a new approach for numerical solution of nonlinear Volterra integral equation of second kinds. This numerical solution is based on the Laplace transform and Adomian Decomposition Method by using He’s polynomials. Then comparative study is made on the exact solution, approximate solution and estimated error. All calculations are made by Matlab 13 Version and illustrated by example. AMS Subject Classification: 44A30, 45D05, 49M27, 65R10","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123826127","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":"A NOTE ON $q$-ANALOGUE OF POLY-GENOCCHI NUMBERS AND POLYNOMIALS","authors":"M. Nadeem, W. Khan, M. Shadab","doi":"10.12732/ijam.v35i1.7","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.7","url":null,"abstract":"","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117011332","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":"APPLICATION OF CONTINUOUS WAVELET TRANSFORM IN THE ANALYSIS OF ELECTROCARDIOGRAM SIGNALS","authors":"A. Al Maamari, E. Balakrishnan, S. Narasimman","doi":"10.12732/ijam.v35i1.8","DOIUrl":"https://doi.org/10.12732/ijam.v35i1.8","url":null,"abstract":"The electrocardiogram is known as a primary and powerful diagnostic tool that provides all essential information about the health of our heart. The feature extraction of electrocardiogram, such as R-peak detection, is the central core of any electrocardiogram analysis. Study of electrocardiogram in wavelet domain using continuous wavelet transform with well-known wavelets and other proposed wavelets for this investigation is found to be helpful and yields reasonably reliable results. In order to validate this method, we apply it to several MIT-BIH database records. The continuous wavelet transform with one of the proposed wavelets namely, Mxr-1, achieves 99.97 % sensitivity, 99.89 % positive predictivity, and 0.135 % detection error for accurate detection of R peaks in comparison with the well-known standard wavelets such as Morlet, Mexican hat and Daubechies 4 and two other proposed mother wavelets Mxr-2 and Mxr-3. AMS Subject Classification: 42C40, 65T60, 92C55","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"13 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134561500","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":"MODIFIED TWO STEPS IMPLICIT MIDPOINT ITERATION METHOD TO APPROXIMATE FIXED POINTS FOR NONEXPANSIVE MAPPINGS","authors":"S. Manna","doi":"10.12732/ijam.v34i6.7","DOIUrl":"https://doi.org/10.12732/ijam.v34i6.7","url":null,"abstract":": In this paper, we establish the weak convergence of fixed points for nonexpansive mappings in the setting of uniformly convex Banach spaces using modified two steps implicit midpoint rule.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125083661","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}