{"title":"求解非线性积分微分方程的混合同伦积分变换方法","authors":"Mohanad F. Kadhem, Ali H. Alfayadh","doi":"10.22401/anjs.25.1.06","DOIUrl":null,"url":null,"abstract":"In this paper, we have applied Sawi transform with homotopyperturbation method to obtain analytic approximation for non-linear integro-differential Equations. The proposed technique is compared with homotopy perturbation method and Abood transform homotopy perturbation method. The results show that Sawi transform homotopy perturbation is an efficient approach to solve non-linear integro-differential equations.","PeriodicalId":7494,"journal":{"name":"Al-Nahrain Journal of Science","volume":"86 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mixed Homotopy Integral Transform Method for Solving Non-Linear ntegro-Differential Equation\",\"authors\":\"Mohanad F. Kadhem, Ali H. Alfayadh\",\"doi\":\"10.22401/anjs.25.1.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have applied Sawi transform with homotopyperturbation method to obtain analytic approximation for non-linear integro-differential Equations. The proposed technique is compared with homotopy perturbation method and Abood transform homotopy perturbation method. The results show that Sawi transform homotopy perturbation is an efficient approach to solve non-linear integro-differential equations.\",\"PeriodicalId\":7494,\"journal\":{\"name\":\"Al-Nahrain Journal of Science\",\"volume\":\"86 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Nahrain Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22401/anjs.25.1.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Nahrain Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22401/anjs.25.1.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mixed Homotopy Integral Transform Method for Solving Non-Linear ntegro-Differential Equation
In this paper, we have applied Sawi transform with homotopyperturbation method to obtain analytic approximation for non-linear integro-differential Equations. The proposed technique is compared with homotopy perturbation method and Abood transform homotopy perturbation method. The results show that Sawi transform homotopy perturbation is an efficient approach to solve non-linear integro-differential equations.