Abstract Partial differential equations are a vital component of the study of mathematical models in science and engineering. There are various tools and techniques developed by the researchers to solve the differential equations. The radial basis functions have proven to be an efficient basis function for approximating the solutions to ordinary and partial differential equations. There are different types of radial basis function methods that have been developed by the researchers to solve various well known differential equation. It has been developed for approximation of the solution with various approaches that lead to the development of hybrid methods. Radial basis function methods are widely used in numerical analysis and statistics because of their ability to deal with meshless domain. In this work, the different radial basis function approaches were investigated along with the focus on the strategies being addressed to find the shape parameter value. The mathematical formulations of the various radial basis function methods are discussed along with the available shape parameters to get the optimal value of the numerical solutions. The present work will lay a foundation to understand the development of the radial basis functions that could lead to a play an important role in development of method thereafter.
{"title":"A review of radial basis function with applications explored","authors":"Geeta Arora, None KiranBala, Homan Emadifar, Masoumeh Khademi","doi":"10.1186/s42787-023-00164-3","DOIUrl":"https://doi.org/10.1186/s42787-023-00164-3","url":null,"abstract":"Abstract Partial differential equations are a vital component of the study of mathematical models in science and engineering. There are various tools and techniques developed by the researchers to solve the differential equations. The radial basis functions have proven to be an efficient basis function for approximating the solutions to ordinary and partial differential equations. There are different types of radial basis function methods that have been developed by the researchers to solve various well known differential equation. It has been developed for approximation of the solution with various approaches that lead to the development of hybrid methods. Radial basis function methods are widely used in numerical analysis and statistics because of their ability to deal with meshless domain. In this work, the different radial basis function approaches were investigated along with the focus on the strategies being addressed to find the shape parameter value. The mathematical formulations of the various radial basis function methods are discussed along with the available shape parameters to get the optimal value of the numerical solutions. The present work will lay a foundation to understand the development of the radial basis functions that could lead to a play an important role in development of method thereafter.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135391050","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 : 2023-10-31DOI: 10.1186/s42787-023-00163-4
W. Y. Kota, R. M. El-Ashwah
Abstract In the present paper we aim at proving some subordinations properties for meromorphic functions analytic in the punctured unit disc $$Delta ^*={z:0<|z|<1}$$ Δ∗={z:0<|z|<1} with a simple pole at the origin. The functions under investigation are associated with two integral operators $$mathcal {P}_sigma ^gamma$$ Pσγ and $$mathcal {Q}_sigma ^gamma$$ Qσγ (see Lashin in Comput Math Appl 59:524–531, 2010, https://doi.org/10.1016/j.camwa.2009.06.015 ). Several other results and numerical examples are also obtained.
摘要本文旨在证明穿孔单位盘上解析亚纯函数的一些从属性质$$Delta ^*={z:0<|z|<1}$$ Δ∗= {z: 0 ＆lt;| z | ＆lt;1}在原点有一个简单的极点。所研究的函数与两个积分算子$$mathcal {P}_sigma ^gamma$$ P σ γ和$$mathcal {Q}_sigma ^gamma$$ Q σ γ相关联(参见Lashin在计算数学应用59:524-531,2010,https://doi.org/10.1016/j.camwa.2009.06.015)。还得到了其他一些结果和数值算例。
{"title":"Some properties for meromorphic functions associated with integral operators","authors":"W. Y. Kota, R. M. El-Ashwah","doi":"10.1186/s42787-023-00163-4","DOIUrl":"https://doi.org/10.1186/s42787-023-00163-4","url":null,"abstract":"Abstract In the present paper we aim at proving some subordinations properties for meromorphic functions analytic in the punctured unit disc $$Delta ^*={z:0<|z|<1}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mi>Δ</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mrow> <mml:mo>{</mml:mo> <mml:mi>z</mml:mi> <mml:mo>:</mml:mo> <mml:mn>0</mml:mn> <mml:mo><</mml:mo> <mml:mo>|</mml:mo> <mml:mi>z</mml:mi> <mml:mo>|</mml:mo> <mml:mo><</mml:mo> <mml:mn>1</mml:mn> <mml:mo>}</mml:mo> </mml:mrow> </mml:mrow> </mml:math> with a simple pole at the origin. The functions under investigation are associated with two integral operators $$mathcal {P}_sigma ^gamma$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>σ</mml:mi> <mml:mi>γ</mml:mi> </mml:msubsup> </mml:math> and $$mathcal {Q}_sigma ^gamma$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>Q</mml:mi> <mml:mi>σ</mml:mi> <mml:mi>γ</mml:mi> </mml:msubsup> </mml:math> (see Lashin in Comput Math Appl 59:524–531, 2010, https://doi.org/10.1016/j.camwa.2009.06.015 ). Several other results and numerical examples are also obtained.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"75 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135871435","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 : 2023-04-24DOI: 10.1186/s42787-023-00159-0
Sayed Elsakhawy
{"title":"Independence and domination in divisor graph and mod-difference graphs","authors":"Sayed Elsakhawy","doi":"10.1186/s42787-023-00159-0","DOIUrl":"https://doi.org/10.1186/s42787-023-00159-0","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"31 1","pages":"1-13"},"PeriodicalIF":0.0,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797466","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 : 2023-04-17DOI: 10.1186/s42787-023-00162-5
G. A. Kamel, K. A. Dib
Abstract In this paper, interesting properties of the generalized topological spaces, generated by the monotonic maps $$sigma = (cl_{delta }circ int_{delta }),$$ σ=(clδ∘intδ), $$alpha = (int_{delta }circ cl_{delta }circ int_{delta }),$$ α=(intδ∘clδ∘intδ), $$pi = (int_{delta }circ cl_{delta })$$ π=(intδ∘clδ) and $$beta = (cl_{delta }circ int_{delta }circ cl_{delta }),$$ β=(clδ∘intδ∘clδ), for any generalized topological space $$(X,g_{delta })$$ (X,gδ) are deduced and analyzed. Special subfamilies of the family of monotonic maps $$Gamma (X)$$ Γ(X) are studied and interesting results regarding generalized topologies are obtained.
摘要本文推导并分析了由单调映射$$sigma = (cl_{delta }circ int_{delta }),$$ σ = (c l δ°int δ)、$$alpha = (int_{delta }circ cl_{delta }circ int_{delta }),$$ α = (int δ°c l δ°int δ)、$$pi = (int_{delta }circ cl_{delta })$$ π = (int δ°c l δ)和$$beta = (cl_{delta }circ int_{delta }circ cl_{delta }),$$ β = (c l δ°int δ°c l δ)生成的广义拓扑空间$$(X,g_{delta })$$ (X, g δ)的一些有趣性质。研究了单调映射族$$Gamma (X)$$ Γ (X)的特殊子族，得到了关于广义拓扑的有趣结果。
{"title":"Generalized topology and the family of monotonic maps $$Gamma (X)$$","authors":"G. A. Kamel, K. A. Dib","doi":"10.1186/s42787-023-00162-5","DOIUrl":"https://doi.org/10.1186/s42787-023-00162-5","url":null,"abstract":"Abstract In this paper, interesting properties of the generalized topological spaces, generated by the monotonic maps $$sigma = (cl_{delta }circ int_{delta }),$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>σ</mml:mi> <mml:mo>=</mml:mo> <mml:mo>(</mml:mo> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>l</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>i</mml:mi> <mml:mi>n</mml:mi> <mml:msub> <mml:mi>t</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> $$alpha = (int_{delta }circ cl_{delta }circ int_{delta }),$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>α</mml:mi> <mml:mo>=</mml:mo> <mml:mo>(</mml:mo> <mml:mi>i</mml:mi> <mml:mi>n</mml:mi> <mml:msub> <mml:mi>t</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>l</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>i</mml:mi> <mml:mi>n</mml:mi> <mml:msub> <mml:mi>t</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> $$pi = (int_{delta }circ cl_{delta })$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mo>=</mml:mo> <mml:mo>(</mml:mo> <mml:mi>i</mml:mi> <mml:mi>n</mml:mi> <mml:msub> <mml:mi>t</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>l</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and $$beta = (cl_{delta }circ int_{delta }circ cl_{delta }),$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>β</mml:mi> <mml:mo>=</mml:mo> <mml:mo>(</mml:mo> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>l</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>i</mml:mi> <mml:mi>n</mml:mi> <mml:msub> <mml:mi>t</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>∘</mml:mo> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>l</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> for any generalized topological space $$(X,g_{delta })$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>g</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> are deduced and analyzed. Special subfamilies of the family of monotonic maps $$Gamma (X)$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>Γ</mml:mi> <mml:mo>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> are studied and interesting results regarding generalized topologies are obtained.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136081839","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 : 2023-02-28DOI: 10.1186/s42787-023-00160-7
Ahmed M. Yousef, S. Z. Rida, Soheir Arafat
{"title":"Analytical bifurcation behaviors of a host–parasitoid model with Holling type III functional response","authors":"Ahmed M. Yousef, S. Z. Rida, Soheir Arafat","doi":"10.1186/s42787-023-00160-7","DOIUrl":"https://doi.org/10.1186/s42787-023-00160-7","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"31 1","pages":"1-22"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42684744","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 : 2023-02-27DOI: 10.1186/s42787-023-00161-6
A. S. Eegunjobi, M. Anyanwu, S. N. Neossi-Nguetchue
{"title":"Modelling the super-infection of two strains of dengue virus","authors":"A. S. Eegunjobi, M. Anyanwu, S. N. Neossi-Nguetchue","doi":"10.1186/s42787-023-00161-6","DOIUrl":"https://doi.org/10.1186/s42787-023-00161-6","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"31 1","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45652458","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 : 2022-12-23DOI: 10.1186/s42787-022-00157-8
J. U. Abubakar, Q. A. Omolesho, K. Bello, A. M. Basambo
{"title":"Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection","authors":"J. U. Abubakar, Q. A. Omolesho, K. Bello, A. M. Basambo","doi":"10.1186/s42787-022-00157-8","DOIUrl":"https://doi.org/10.1186/s42787-022-00157-8","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46949793","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 : 2022-12-23DOI: 10.1186/s42787-022-00158-7
Lucas David Ribeiro-Reis
{"title":"The kagebushin-beta distribution: an alternative for gamma, Weibull and exponentiated exponential distributions","authors":"Lucas David Ribeiro-Reis","doi":"10.1186/s42787-022-00158-7","DOIUrl":"https://doi.org/10.1186/s42787-022-00158-7","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47507090","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 : 2022-12-22DOI: 10.1186/s42787-022-00156-9
Md. Rabiul Haque
{"title":"Existence of weak solutions to a convection–diffusion equation in amalgam spaces","authors":"Md. Rabiul Haque","doi":"10.1186/s42787-022-00156-9","DOIUrl":"https://doi.org/10.1186/s42787-022-00156-9","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-19"},"PeriodicalIF":0.0,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49486984","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 : 2022-12-09DOI: 10.1186/s42787-022-00155-w
B. Jha, P. Malgwi
{"title":"Hydromagnetic free convection flow in a vertical microporous channel with Hall current and ion-slip effect","authors":"B. Jha, P. Malgwi","doi":"10.1186/s42787-022-00155-w","DOIUrl":"https://doi.org/10.1186/s42787-022-00155-w","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-26"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42235931","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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