Pub Date : 2023-09-20DOI: 10.1007/s40819-023-01555-x
S. Kumbinarasaiah, Mallanagoud Mulimani
{"title":"Bernoulli Wavelets Numerical Approach for the Nonlinear Klein–Gordon and Benjamin–Bona–Mahony Equation","authors":"S. Kumbinarasaiah, Mallanagoud Mulimani","doi":"10.1007/s40819-023-01555-x","DOIUrl":"https://doi.org/10.1007/s40819-023-01555-x","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308879","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 : 2023-09-19DOI: 10.1007/s40819-023-01585-5
Akhtar Hussain, A. H. Kara, F. D. Zaman
{"title":"New Exact Solutions of the Thomas Equation Using Symmetry Transformations","authors":"Akhtar Hussain, A. H. Kara, F. D. Zaman","doi":"10.1007/s40819-023-01585-5","DOIUrl":"https://doi.org/10.1007/s40819-023-01585-5","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135010668","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 : 2023-09-17DOI: 10.1007/s40819-023-01581-9
Modisawatsona Lucas Lekoko, Gabriel Magalakwe, Chaudry Masood Khalique
Abstract This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A flow model of MHD viscous incompressible fluid inside a filter is studied to seek semi-analytical solutions which are analysed to find flow and heat dynamics that lead to optimal outflow (maximum filtrates) during filtration. Lie group method is used to reduce a system of four partial differential equations describing fluid flow and temperature distribution inside the filter chamber to a system of two ordinary differential equations. The reduced system is then solved by perturbation process to obtain semi-analytical solutions for flow velocity and temperature variation inside the chamber. To understand the flow dynamics and heat distribution of the underlying case study better, the influence of different parameters during filtration resulting from the filter design, flow dynamics and heat effects are graphically presented and analysed in order to identify a combination of flow parameters that yields the best filtration process. The findings show that to maximise filtrates production, more fluid injection is required during filtration. Moreover, from the findings, it is evident that the temperature increase inside the chamber arising from the Joule heating effect is ideal since it increases internal work done and hence increases filtrates production.
{"title":"Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method","authors":"Modisawatsona Lucas Lekoko, Gabriel Magalakwe, Chaudry Masood Khalique","doi":"10.1007/s40819-023-01581-9","DOIUrl":"https://doi.org/10.1007/s40819-023-01581-9","url":null,"abstract":"Abstract This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A flow model of MHD viscous incompressible fluid inside a filter is studied to seek semi-analytical solutions which are analysed to find flow and heat dynamics that lead to optimal outflow (maximum filtrates) during filtration. Lie group method is used to reduce a system of four partial differential equations describing fluid flow and temperature distribution inside the filter chamber to a system of two ordinary differential equations. The reduced system is then solved by perturbation process to obtain semi-analytical solutions for flow velocity and temperature variation inside the chamber. To understand the flow dynamics and heat distribution of the underlying case study better, the influence of different parameters during filtration resulting from the filter design, flow dynamics and heat effects are graphically presented and analysed in order to identify a combination of flow parameters that yields the best filtration process. The findings show that to maximise filtrates production, more fluid injection is required during filtration. Moreover, from the findings, it is evident that the temperature increase inside the chamber arising from the Joule heating effect is ideal since it increases internal work done and hence increases filtrates production.","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135258491","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 : 2023-09-16DOI: 10.1007/s40819-023-01580-w
Jaskiran Kaur, Manjit Singh, None Mukesh
{"title":"Infinite Dimensional Symmetry Group Reductions and Conservation Laws of Lin–Reissner–Tsien Equation","authors":"Jaskiran Kaur, Manjit Singh, None Mukesh","doi":"10.1007/s40819-023-01580-w","DOIUrl":"https://doi.org/10.1007/s40819-023-01580-w","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"198 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135306031","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 : 2023-09-16DOI: 10.1007/s40819-023-01571-x
Jeetendrasingh Maan, E. R. Negrín, B. J. González
{"title":"On the Generalized Lambert Transform over Lebesgue and Boehmian Spaces","authors":"Jeetendrasingh Maan, E. R. Negrín, B. J. González","doi":"10.1007/s40819-023-01571-x","DOIUrl":"https://doi.org/10.1007/s40819-023-01571-x","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135305815","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 : 2023-09-15DOI: 10.1007/s40819-023-01579-3
B. Madhukalya, R. Das, K. Hosseini, D. Baleanu, S. Salahshour
{"title":"Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons","authors":"B. Madhukalya, R. Das, K. Hosseini, D. Baleanu, S. Salahshour","doi":"10.1007/s40819-023-01579-3","DOIUrl":"https://doi.org/10.1007/s40819-023-01579-3","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135394684","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 : 2023-09-15DOI: 10.1007/s40819-023-01578-4
T. Prathap, R. Nageshwar Rao
{"title":"A Higher Order Finite Difference Method for a Singularly Perturbed Boundary Value Problem with a Small Negative Shift","authors":"T. Prathap, R. Nageshwar Rao","doi":"10.1007/s40819-023-01578-4","DOIUrl":"https://doi.org/10.1007/s40819-023-01578-4","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135395226","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 : 2023-09-15DOI: 10.1007/s40819-023-01570-y
Mahboub Baccouch, Helmi Temimi
{"title":"A New Derivation of the Closed-Form Solution of Bratu’s Problem","authors":"Mahboub Baccouch, Helmi Temimi","doi":"10.1007/s40819-023-01570-y","DOIUrl":"https://doi.org/10.1007/s40819-023-01570-y","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437014","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 : 2023-09-14DOI: 10.1007/s40819-023-01568-6
Boubekeur Gasmi, Alaaeddin Amin Moussa, Yazid Mati, Lama Abdulaziz Alhakim, Ali Akgül
{"title":"New Exact Traveling Wave Solutions to the Kawahara Equation using the $$tanh (xi )$$ Expansion Method","authors":"Boubekeur Gasmi, Alaaeddin Amin Moussa, Yazid Mati, Lama Abdulaziz Alhakim, Ali Akgül","doi":"10.1007/s40819-023-01568-6","DOIUrl":"https://doi.org/10.1007/s40819-023-01568-6","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134910749","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 Computational and Experimental Approach to Model Thermal Behavior in Microwave Valorization of Food Waste","authors":"Chanpreet Singh, Nitika Dhingra, Nitin Saluja, Anoop Kumar Singh","doi":"10.1007/s40819-023-01567-7","DOIUrl":"https://doi.org/10.1007/s40819-023-01567-7","url":null,"abstract":"","PeriodicalId":37054,"journal":{"name":"International Journal of Applied and Computational Mathematics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134911446","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}