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International Journal of Mathematics and Computation最新文献

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Application of the Variational Iteration Method and the Homotopy Perturbation Method to the Fisher Type Equation 变分迭代法和同伦摄动法在Fisher型方程中的应用
International Journal of Mathematics and Computation Pub Date : 2016-01-22 DOI: 10.6084/M9.FIGSHARE.3113629.V1
Mohsen Soori, S. Nourazar, A. Nazari-Golshan
{"title":"Application of the Variational Iteration Method and the Homotopy Perturbation Method to the Fisher Type Equation","authors":"Mohsen Soori, S. Nourazar, A. Nazari-Golshan","doi":"10.6084/M9.FIGSHARE.3113629.V1","DOIUrl":"https://doi.org/10.6084/M9.FIGSHARE.3113629.V1","url":null,"abstract":"To obtain the exact solution of the Fisher Type equation, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are used. Obtained results by using the methods are numerically compared to present accuracy of the algorithms in solving the equation. The results prove that the methods are effective and powerful algorithm in order to solve the Fisher type equation as a non-linear differential equation.","PeriodicalId":202423,"journal":{"name":"International Journal of Mathematics and Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122504388","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: 11
On the Homotopy Perturbation Method for the Exact Solution of Fitzhugh–Nagumo Equation Fitzhugh-Nagumo方程精确解的同伦摄动法
International Journal of Mathematics and Computation Pub Date : 2015-05-14 DOI: 10.5281/ZENODO.47783
S. Nourazar, Mohsen Soori, Akbar Nazar-Golshan
{"title":"On the Homotopy Perturbation Method for the Exact Solution of Fitzhugh–Nagumo Equation","authors":"S. Nourazar, Mohsen Soori, Akbar Nazar-Golshan","doi":"10.5281/ZENODO.47783","DOIUrl":"https://doi.org/10.5281/ZENODO.47783","url":null,"abstract":"In this paper, the Homotopy Perturbation Method (HPM) is used to solve the Fitzhugh–Nagumo non-linear differential equations. In order to obtain the exact solution of Fitzhugh–Nagumo equation, two case study problems of the equation are solved by using the HPM. The trend of the rapid convergence of the sequences constructed by the method towards the exact solution is also numerically shown. As a result, the rapid convergence towards the exact solutions of HPM indicates that the method is powerful and efficient technique to solve the Fitzhugh–Nagumo non-linear differential equations. Also, the results present validity and great potential of the method as a powerful algorithm in order to obtain the exact solution of nonlinear differential equations.","PeriodicalId":202423,"journal":{"name":"International Journal of Mathematics and Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122128491","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: 15
Resonant Oscillation Of Certain Fourth Order Nonlinear Differential Equations With Delay 一类四阶时滞非线性微分方程的共振振荡
International Journal of Mathematics and Computation Pub Date : 2009-03-20 DOI: 10.12732/IJDEA.V14I4.2456
S. A. Iyase, P. O. Aiyelo
{"title":"Resonant Oscillation Of Certain Fourth Order Nonlinear Differential Equations With Delay","authors":"S. A. Iyase, P. O. Aiyelo","doi":"10.12732/IJDEA.V14I4.2456","DOIUrl":"https://doi.org/10.12732/IJDEA.V14I4.2456","url":null,"abstract":"We prove the existence of periodic solutions for equation (1.1) using degree theoretic methods. The uniqueness of periodic solutions is also examined.","PeriodicalId":202423,"journal":{"name":"International Journal of Mathematics and Computation","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127653356","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
The Beverton–Holt q-Difference Equation with Periodic Growth Rate 具有周期增长率的Beverton-Holt q-差分方程
International Journal of Mathematics and Computation Pub Date : 1900-01-01 DOI: 10.1007/978-3-319-24747-2_1
M. Bohner, Sabrina H. Streipert
{"title":"The Beverton–Holt q-Difference Equation with Periodic Growth Rate","authors":"M. Bohner, Sabrina H. Streipert","doi":"10.1007/978-3-319-24747-2_1","DOIUrl":"https://doi.org/10.1007/978-3-319-24747-2_1","url":null,"abstract":"","PeriodicalId":202423,"journal":{"name":"International Journal of Mathematics and Computation","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130122561","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: 8
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