{"title":"Notorious Boundary Value Problems: Singularly Perturbed Differential Equations and Their Numerical Treatment","authors":"Naresh M. Chadha, Sunita Kumawat","doi":"10.1201/9781003097938-5","DOIUrl":"https://doi.org/10.1201/9781003097938-5","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133279739","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}
H. Baskonus, Ajay Kumar, M. S. Rawat, Bilgin Şenel, Gulnur Yel, Mine Şenel
{"title":"Studying on the Complex and Mixed Dark-Bright Travelling Wave Solutions of the Generalized KP-BBM Equation","authors":"H. Baskonus, Ajay Kumar, M. S. Rawat, Bilgin Şenel, Gulnur Yel, Mine Şenel","doi":"10.1201/9781003097938-2","DOIUrl":"https://doi.org/10.1201/9781003097938-2","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117049995","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":"Abundant Computational and Numerical Solutions of the Fractional Quantum Version of the Relativistic Energy-Momentum Relation","authors":"M. Khater, R. Attia, S. Owyed, A. Abdel‐Aty","doi":"10.1201/9781003097938-3","DOIUrl":"https://doi.org/10.1201/9781003097938-3","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123602201","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":"Stability and Convergence Analysis of Numerical Scheme for the Generalized Fractional Diffusion-Reaction Equation","authors":"N. Sene","doi":"10.1201/9781003097938-1","DOIUrl":"https://doi.org/10.1201/9781003097938-1","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115490242","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":"Review on Non-Standard Finite Difference (NSFD) Schemes for Solving Linear and Non-linear Differential Equations","authors":"K. Sharma, S. Swami, V. Joshi, S. Bhardwaj","doi":"10.1201/9781003097938-6","DOIUrl":"https://doi.org/10.1201/9781003097938-6","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128470454","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":"Solutions for Nonlinear Fractional Diffusion Equations with Reaction Terms","authors":"G. L. Guardia, J. Chagas, M. Lenzi, E. Lenzi","doi":"10.1201/9781003097938-7","DOIUrl":"https://doi.org/10.1201/9781003097938-7","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130549603","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}
Pub Date : 2021-06-18DOI: 10.1201/9781003097938-10
M. Khater, R. Attia
{"title":"Superabundant Explicit Wave and Numerical Solutions of the Fractional Isotropic Extension Model of the KdV Model","authors":"M. Khater, R. Attia","doi":"10.1201/9781003097938-10","DOIUrl":"https://doi.org/10.1201/9781003097938-10","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"211 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124741856","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}
Albert Shikongo, Samuel Megameno Nuugulu, D. Elago, A. Salom, K. M. Owolabi
{"title":"Fractional Derivative Operator on Quarantine and Isolation Principle for COVID-19","authors":"Albert Shikongo, Samuel Megameno Nuugulu, D. Elago, A. Salom, K. M. Owolabi","doi":"10.1201/9781003097938-9","DOIUrl":"https://doi.org/10.1201/9781003097938-9","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121853246","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}
Pub Date : 2021-06-18DOI: 10.1201/9781003097938-11
V. Dubey, Devendra Kumar, S. Dubey
{"title":"A Modified Computational Scheme and Convergence Analysis for Fractional Order Hepatitis E Virus Model","authors":"V. Dubey, Devendra Kumar, S. Dubey","doi":"10.1201/9781003097938-11","DOIUrl":"https://doi.org/10.1201/9781003097938-11","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121369276","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}
I. K. Argyros, M. Argyros, Á.A. Magreíñn, J. A. Sicilia, I. Sarria
{"title":"Convergence of Some High-Order Iterative Methods with Applications to Differential Equations","authors":"I. K. Argyros, M. Argyros, Á.A. Magreíñn, J. A. Sicilia, I. Sarria","doi":"10.1201/9781003097938-8","DOIUrl":"https://doi.org/10.1201/9781003097938-8","url":null,"abstract":"","PeriodicalId":131229,"journal":{"name":"Advanced Numerical Methods for Differential Equations","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122221671","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}