Pub Date : 2023-05-30DOI: 10.1080/02286203.2023.2216048
Nazek A. Obeidat, Mahmoud S. Rawashdeh
ABSTRACTIn this research study, we explore new proofs of theorems related to a novel technique by the name of the natural Adomian decomposition method (NADM), and then we apply it to find new exact solutions to nonlinear partial differential equations under proper initial conditions. Our solutions to nonlinear differential equations are given in series format, with convergence analysis for the proposed scheme. The new approach in this work can be considered as an alternative technique for the ones in the literature, to handle KdV-type equations such as the fifth-order Korteweg–de Vries (efKdV) equation, which is a crucial equation in fluid dynamics for the description of nonlinear wave processes. The new technique is a novel one to treat applications in the fields of mathematics, biology, engineering, physics, and other areas of science.KEYWORDS: Fluid dynamicsnatural transformAdomian decomposition methodpartial differential equationfixed point theory AcknowledgmentsThe authors appreciate the constructive criticism and recommendations from the anonymous referees, which helped raise the paper’s caliber.Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementData sharing is not applicable to this article as no data sets were generated or analyzed during the current study.Consent to participateParticipants are aware that they can contact the University of Vermont Ethics Officer if they have any concerns or complaints regarding the way in which the research is or has been conducted.Additional informationFundingNo funding was provided for this research.Notes on contributorsNazek A. ObeidatNazek Obeidat received her undergraduate degree in mathematics from the University of Findlay (USA) in 2008, graduating with summa cum laude. She received her M.Sc. in Mathematics from the University of Toledo in 2020, and she received her PHD from the University of Vermont in 2022. She was recognized for excellent academic achievement and made the Dean’s List for 2004 and 2005 at the University of Toledo and recognized for excellent academic achievement and made the Dean’s List in 2006, 2007, and 2008 at the University of Findlay Currently, she is a postdoctoral researcher, and she has published many articles in highly respected journals. Finally, she is a referee in a highly respected international mathematical journal.Mahmoud S. RawashdehMahmoud Rawashdeh joined the Department of Mathematics and Statistics at Jordan University of Science and Technology (Jordan) in 2009. Prior to coming to the Faculty of Science and Arts at (JUST), he was a tenured assistant professor at the University of Findlay (USA) (2006–2009). He received his undergraduate degree in Mathematics from Yarmouk University (Jordan) in 1989. He received his M.A in Mathematics from City University of New York, New York, USA in June 1997 and his Ph.D. in Applied Mathematics from The University of Toledo, Ohio, USA in May 2006. His research interes
摘要:本文探讨了自然Adomian分解法(natural Adomian decomposition, NADM)相关定理的新证明，并将其应用于求解非线性偏微分方程在适当初始条件下的精确解。本文以级数形式给出了非线性微分方程的解，并对该格式进行了收敛性分析。这项工作中的新方法可以被认为是文献中方法的替代技术，用于处理kdv型方程，如五阶Korteweg-de Vries (efKdV)方程，该方程是流体动力学中描述非线性波动过程的关键方程。这项新技术在数学、生物、工程、物理和其他科学领域的应用是一种新颖的技术。关键词:流体动力学;自然变换;adomian分解方法;偏微分方程;不动点理论;感谢匿名审稿人提出的建设性意见和建议，提高了论文的质量。披露声明作者未报告潜在的利益冲突。数据可用性声明数据共享不适用于本文，因为在当前研究期间没有生成或分析数据集。参与者要知道，如果他们对研究的进行方式有任何担忧或投诉，他们可以联系佛蒙特大学伦理官员。本研究未获资助。nazek A. ObeidatNazek Obeidat于2008年在美国芬德利大学(University of Findlay)获得数学学士学位，并以优异的成绩毕业。她于2020年获得托莱多大学数学硕士学位，并于2022年获得佛蒙特大学博士学位。她被公认为优秀的学术成就，并在2004年和2005年在托莱多大学取得了院长名单，并在2006年，2007年和2008年在芬德利大学获得了优秀的学术成就，并在院长名单上发表了许多文章。最后，她是一个备受尊敬的国际数学期刊的裁判。Mahmoud S. Rawashdeh于2009年加入约旦科技大学数学与统计系。在加入北京工业大学文理学院之前，他曾在美国芬德利大学(University of Findlay)担任终身助理教授(2006-2009)。他于1989年在约旦耶尔穆克大学获得数学学士学位。1997年6月在美国纽约城市大学获得数学硕士学位，2006年5月在美国俄亥俄州托莱多大学获得应用数学博士学位。他的研究兴趣包括应用数学领域的课题，如;缓和分数微积分和数学建模在科学领域的应用。他的研究涉及到用数值迭代方法获得工程和物理中非线性偏微分方程引起的分数阶偏微分方程的近似和精确解。他曾在国际知名的数学和工程科学杂志上发表研究论文。他是一家极受尊敬的数学期刊的裁判。
{"title":"Theoretical analysis of new techniques applied to applications in fluid dynamics","authors":"Nazek A. Obeidat, Mahmoud S. Rawashdeh","doi":"10.1080/02286203.2023.2216048","DOIUrl":"https://doi.org/10.1080/02286203.2023.2216048","url":null,"abstract":"ABSTRACTIn this research study, we explore new proofs of theorems related to a novel technique by the name of the natural Adomian decomposition method (NADM), and then we apply it to find new exact solutions to nonlinear partial differential equations under proper initial conditions. Our solutions to nonlinear differential equations are given in series format, with convergence analysis for the proposed scheme. The new approach in this work can be considered as an alternative technique for the ones in the literature, to handle KdV-type equations such as the fifth-order Korteweg–de Vries (efKdV) equation, which is a crucial equation in fluid dynamics for the description of nonlinear wave processes. The new technique is a novel one to treat applications in the fields of mathematics, biology, engineering, physics, and other areas of science.KEYWORDS: Fluid dynamicsnatural transformAdomian decomposition methodpartial differential equationfixed point theory AcknowledgmentsThe authors appreciate the constructive criticism and recommendations from the anonymous referees, which helped raise the paper’s caliber.Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementData sharing is not applicable to this article as no data sets were generated or analyzed during the current study.Consent to participateParticipants are aware that they can contact the University of Vermont Ethics Officer if they have any concerns or complaints regarding the way in which the research is or has been conducted.Additional informationFundingNo funding was provided for this research.Notes on contributorsNazek A. ObeidatNazek Obeidat received her undergraduate degree in mathematics from the University of Findlay (USA) in 2008, graduating with summa cum laude. She received her M.Sc. in Mathematics from the University of Toledo in 2020, and she received her PHD from the University of Vermont in 2022. She was recognized for excellent academic achievement and made the Dean’s List for 2004 and 2005 at the University of Toledo and recognized for excellent academic achievement and made the Dean’s List in 2006, 2007, and 2008 at the University of Findlay Currently, she is a postdoctoral researcher, and she has published many articles in highly respected journals. Finally, she is a referee in a highly respected international mathematical journal.Mahmoud S. RawashdehMahmoud Rawashdeh joined the Department of Mathematics and Statistics at Jordan University of Science and Technology (Jordan) in 2009. Prior to coming to the Faculty of Science and Arts at (JUST), he was a tenured assistant professor at the University of Findlay (USA) (2006–2009). He received his undergraduate degree in Mathematics from Yarmouk University (Jordan) in 1989. He received his M.A in Mathematics from City University of New York, New York, USA in June 1997 and his Ph.D. in Applied Mathematics from The University of Toledo, Ohio, USA in May 2006. His research interes","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135642768","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 : 2023-05-27DOI: 10.1080/02286203.2023.2216621
M. M. A. Hasan, S. Al-Mekhlafi, K. Udhayakumar, F. Rihan
{"title":"Hybrid fractional-order optimal control problem for immuno-chemotherapy with gene therapy and time-delay: numerical treatments","authors":"M. M. A. Hasan, S. Al-Mekhlafi, K. Udhayakumar, F. Rihan","doi":"10.1080/02286203.2023.2216621","DOIUrl":"https://doi.org/10.1080/02286203.2023.2216621","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42195438","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 : 2023-05-15DOI: 10.1080/02286203.2023.2205988
P. M. Patil, Sunil Benawadi
{"title":"The bioconvective flow of an Eyring-Powell nanoliquid: the influence of entropy","authors":"P. M. Patil, Sunil Benawadi","doi":"10.1080/02286203.2023.2205988","DOIUrl":"https://doi.org/10.1080/02286203.2023.2205988","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42585808","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 : 2023-05-12DOI: 10.1080/02286203.2023.2212345
G. Ashwinkumar
{"title":"Computational analysis on MHD Sakiadis flow of hybrid nanoliquid past an incessantly moving thin needle","authors":"G. Ashwinkumar","doi":"10.1080/02286203.2023.2212345","DOIUrl":"https://doi.org/10.1080/02286203.2023.2212345","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46137266","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 : 2023-05-10DOI: 10.1080/02286203.2023.2205989
C. S. Kalyan, B. S. Goud, Maddala Teja Kiran Kumar, Padmanabh Thakur, M. Bajaj, R. Bansal
{"title":"Squirrel search algorithm based intelligent controller for interconnected power system","authors":"C. S. Kalyan, B. S. Goud, Maddala Teja Kiran Kumar, Padmanabh Thakur, M. Bajaj, R. Bansal","doi":"10.1080/02286203.2023.2205989","DOIUrl":"https://doi.org/10.1080/02286203.2023.2205989","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46653151","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 : 2023-05-09DOI: 10.1080/02286203.2023.2212346
Jonathan Reginald, Kalayarasan M, C. K N, Dhanabal P
ABSTRACT Total hip arthroplasty (THA) is a common procedure that is performed for elderly people who suffer from hip pain and other hip-related problems. THA is an operation where an artificial joint is implanted in the femur and acts as the hip joint. THA has seen advancement to a greater extent in the 20th century. In this work, a novel hip implant design is proposed based on the existing literature data. The hip implants were provided with radial clearance between the head and stem junction. This implant design is analyzed by applying a walking gait that has been clinically prerecorded. Linear and volumetric wear rates are estimated at the head-stem junction, head-liner, and liner to acetabulum using Archard’s wear law. Total deformation, von Mises stress, contact stress, linear and volumetric wear rates were reported. The volumetric wear rate was found to be less than the existing literature, achieving the goal of increasing the life expectancy of the total hip prosthesis. The maximum wear rate is found at the head-stem junction for press-fit. It is observed that when the acetabular cup and femoral head are made of CoCr (Cobalt-Chromium) alloy, the liner with Ultra high molecular weight polyethylene (UHMWPE) and the stem with titanium alloy have a lesser wear rate when compared to other material combinations. Further, it is also found that the fatigue life of Ti (Titanium) alloy is higher than that of CoCr alloy and Ti alloy material combinations have the maximum factor of safety.
{"title":"Static, dynamic, and fatigue life investigation of a hip prosthesis for walking gait using finite element analysis","authors":"Jonathan Reginald, Kalayarasan M, C. K N, Dhanabal P","doi":"10.1080/02286203.2023.2212346","DOIUrl":"https://doi.org/10.1080/02286203.2023.2212346","url":null,"abstract":"ABSTRACT Total hip arthroplasty (THA) is a common procedure that is performed for elderly people who suffer from hip pain and other hip-related problems. THA is an operation where an artificial joint is implanted in the femur and acts as the hip joint. THA has seen advancement to a greater extent in the 20th century. In this work, a novel hip implant design is proposed based on the existing literature data. The hip implants were provided with radial clearance between the head and stem junction. This implant design is analyzed by applying a walking gait that has been clinically prerecorded. Linear and volumetric wear rates are estimated at the head-stem junction, head-liner, and liner to acetabulum using Archard’s wear law. Total deformation, von Mises stress, contact stress, linear and volumetric wear rates were reported. The volumetric wear rate was found to be less than the existing literature, achieving the goal of increasing the life expectancy of the total hip prosthesis. The maximum wear rate is found at the head-stem junction for press-fit. It is observed that when the acetabular cup and femoral head are made of CoCr (Cobalt-Chromium) alloy, the liner with Ultra high molecular weight polyethylene (UHMWPE) and the stem with titanium alloy have a lesser wear rate when compared to other material combinations. Further, it is also found that the fatigue life of Ti (Titanium) alloy is higher than that of CoCr alloy and Ti alloy material combinations have the maximum factor of safety.","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"43 1","pages":"797 - 811"},"PeriodicalIF":3.1,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48781256","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 : 2023-05-07DOI: 10.1080/02286203.2023.2206075
Michael Schlecht, R. de Guio, Jürgen Köbler
{"title":"Automated generation of simulation model in context of industry 4.0","authors":"Michael Schlecht, R. de Guio, Jürgen Köbler","doi":"10.1080/02286203.2023.2206075","DOIUrl":"https://doi.org/10.1080/02286203.2023.2206075","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48162588","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 : 2023-05-05DOI: 10.1080/02286203.2023.2205987
S. Sarkar, Satyajit Das
{"title":"Gyrotactic microbes’ movement in a magneto-nano-polymer induced by a stretchable cylindrical surface set in a DF porous medium subject to non-linear radiation and Arrhenius kinetics","authors":"S. Sarkar, Satyajit Das","doi":"10.1080/02286203.2023.2205987","DOIUrl":"https://doi.org/10.1080/02286203.2023.2205987","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44640736","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 : 2023-05-03DOI: 10.1080/02286203.2023.2204355
S. Salim, Joseph Malinzi, E. Mureithi, N. Shaban
{"title":"Mathematical modelling of chemovirotherapy cancer treatment","authors":"S. Salim, Joseph Malinzi, E. Mureithi, N. Shaban","doi":"10.1080/02286203.2023.2204355","DOIUrl":"https://doi.org/10.1080/02286203.2023.2204355","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49074186","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 : 2023-04-27DOI: 10.1080/02286203.2023.2204319
M. Hosseinpour, Tooraj Sabetfar, A. Dejamkhooy, M. Shahparasti
{"title":"Design and control of LCL-type grid-tied PV power conditioning system based on inverter and grid side currents double feedback","authors":"M. Hosseinpour, Tooraj Sabetfar, A. Dejamkhooy, M. Shahparasti","doi":"10.1080/02286203.2023.2204319","DOIUrl":"https://doi.org/10.1080/02286203.2023.2204319","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44924329","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}
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