{"title":"奇异摄动抛物型对流扩散问题的拟合算子平均有限差分法","authors":"T. Aga, G. File, G. Degla","doi":"10.24107/ijeas.567374","DOIUrl":null,"url":null,"abstract":"In this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methods","PeriodicalId":34399,"journal":{"name":"International Journal of Electrical Engineering and Applied Sciences","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem\",\"authors\":\"T. Aga, G. File, G. Degla\",\"doi\":\"10.24107/ijeas.567374\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methods\",\"PeriodicalId\":34399,\"journal\":{\"name\":\"International Journal of Electrical Engineering and Applied Sciences\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Electrical Engineering and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24107/ijeas.567374\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Electrical Engineering and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24107/ijeas.567374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem
In this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methods