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A novel adaptive meshless method for solving the nonlinear time fractional telegraph equations on arbitrary domains 一种新的求解任意域非线性时间分数阶电报方程的自适应无网格方法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2023-01-02 DOI: 10.1007/s40096-022-00503-y
Lin Li, Zhong Chen, Hong Du, Wei Jiang, Biao Zhang
{"title":"A novel adaptive meshless method for solving the nonlinear time fractional telegraph equations on arbitrary domains","authors":"Lin Li, Zhong Chen, Hong Du, Wei Jiang, Biao Zhang","doi":"10.1007/s40096-022-00503-y","DOIUrl":"https://doi.org/10.1007/s40096-022-00503-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"22 1","pages":"1-17"},"PeriodicalIF":2.0,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88913226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The application of fuzzy transform method to the initial value problems of linear differential–algebraic equations 模糊变换方法在线性微分代数方程初值问题中的应用
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-12-30 DOI: 10.1007/s40096-022-00504-x
S. Mirzajani, F. Bahrami, S. Shahmorad
{"title":"The application of fuzzy transform method to the initial value problems of linear differential–algebraic equations","authors":"S. Mirzajani, F. Bahrami, S. Shahmorad","doi":"10.1007/s40096-022-00504-x","DOIUrl":"https://doi.org/10.1007/s40096-022-00504-x","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"26 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86889291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel operational matrix method based on Genocchi polynomials for solving n-dimensional stochastic Itô–Volterra integral equation 求解n维随机Itô-Volterra积分方程的一种新的基于Genocchi多项式的运算矩阵方法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-12-17 DOI: 10.1007/s40096-022-00502-z
P. K. Singh, S. Saha Ray
{"title":"A novel operational matrix method based on Genocchi polynomials for solving n-dimensional stochastic Itô–Volterra integral equation","authors":"P. K. Singh, S. Saha Ray","doi":"10.1007/s40096-022-00502-z","DOIUrl":"https://doi.org/10.1007/s40096-022-00502-z","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"12 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81426007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves 探讨毛细管重力波相互作用中Schrödinger-KdV耦合方程的一些新解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-12-16 DOI: 10.1007/s40096-022-00501-0
D. Kumar, A. Yıldırım, Mohammed K. A. Kaabar, H. Rezazadeh, M. Samei
{"title":"Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves","authors":"D. Kumar, A. Yıldırım, Mohammed K. A. Kaabar, H. Rezazadeh, M. Samei","doi":"10.1007/s40096-022-00501-0","DOIUrl":"https://doi.org/10.1007/s40096-022-00501-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75297524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient 二维变系数非线性波动方程的有效六阶有限差分法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-29 DOI: 10.1007/s40096-022-00498-6
Shuaikang Wang, Y. Ge
{"title":"Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient","authors":"Shuaikang Wang, Y. Ge","doi":"10.1007/s40096-022-00498-6","DOIUrl":"https://doi.org/10.1007/s40096-022-00498-6","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"31 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89175211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Hilbert space solution of fractional Sobolev equation in $$left(1+1right)$$-dimensional space 分数Sobolev方程在$$left(1+1right)$$维空间中的数值希尔伯特空间解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-27 DOI: 10.1007/s40096-022-00495-9
Omar Abu Arqub, Hamed Alsulami, Mohammed Alhodaly
{"title":"Numerical Hilbert space solution of fractional Sobolev equation in $$left(1+1right)$$-dimensional space","authors":"Omar Abu Arqub, Hamed Alsulami, Mohammed Alhodaly","doi":"10.1007/s40096-022-00495-9","DOIUrl":"https://doi.org/10.1007/s40096-022-00495-9","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"20 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79106529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
A Legendre-spectral method for Hadamard fractional partial differential equations 阿达玛分数阶偏微分方程的legende谱法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-20 DOI: 10.1007/s40096-022-00497-7
Ghafirlia Istafa, Mujeeb ur Rehman
{"title":"A Legendre-spectral method for Hadamard fractional partial differential equations","authors":"Ghafirlia Istafa, Mujeeb ur Rehman","doi":"10.1007/s40096-022-00497-7","DOIUrl":"https://doi.org/10.1007/s40096-022-00497-7","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"99 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78080214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An inverse fractional diffusion problem of source identification type 一类源识别型逆分数扩散问题
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-20 DOI: 10.1007/s40096-022-00499-5
A. Janmohammadi, J. Damirchi, S. Mahmoudi
{"title":"An inverse fractional diffusion problem of source identification type","authors":"A. Janmohammadi, J. Damirchi, S. Mahmoudi","doi":"10.1007/s40096-022-00499-5","DOIUrl":"https://doi.org/10.1007/s40096-022-00499-5","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"34 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85556809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations 求解p型分数中立型时滞微分方程和时滞偏微分方程的广义Gegenbauer小波配置方法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-15 DOI: 10.1007/s40096-022-00490-0
M. Faheem, Arshad Khan, Ö. Oruç
{"title":"A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations","authors":"M. Faheem, Arshad Khan, Ö. Oruç","doi":"10.1007/s40096-022-00490-0","DOIUrl":"https://doi.org/10.1007/s40096-022-00490-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"28 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85700301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme 用高阶指数李群格式的重心配置法求解Burgers方程
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-11-08 DOI: 10.1007/s40096-022-00496-8
M. Seydaoğlu
{"title":"An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme","authors":"M. Seydaoğlu","doi":"10.1007/s40096-022-00496-8","DOIUrl":"https://doi.org/10.1007/s40096-022-00496-8","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89280700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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