Edit Profile (opens in new tab) Amirfakhrian, Majid Co-Author Distance Author ID: amirfakhrian.majid Published as: Amirfakhrian, Majid; Amirfakhrian, M. Further Spellings: Amirfakhrian, Seyed Majid External Links: MGP · ORCID · ResearchGate Documents Indexed: 43 Publications since 2006 Co-Authors: 24 Co-Authors with 28 Joint Publications 845 Co-Co-Authors all top 5 Co-Authors 8 single-authored 5 Abbasbandy, Saeid 4 Yeganehmanesh, Sh. 3 Fariborzi Araghi, Mohammad Ali 3 Grzegorzewski, Przemysław 3 Mirzaei, Seyyed Mahmood 2 Adibi, Hojatollah 2 Arghand, Muhammad 2 Asari, Shukooh Sadat 2 Azizi, Masoomeh 2 Kansa, Edward J. 2 Mafikandi, Hassan 2 Rodríguez-López, Rosana 2 Shakibi, K. 1 Allahviranloo, Tofigh 1 Barzegar Kelishami, Hasan 1 Davaeifar, Sara 1 Fayyaz, Behrouz Robab 1 Firouzdor, R. 1 Ghalichi, Shabnam Sadat Seyed 1 Khanghah, P. Mohammadi 1 Lotfi, Taher 1 Mohammad, Fahim 1 Nieto Roig, Juan Jose 1 Niknam, Sepideh 1 Rahimi, Mahbubeh 1 Rashidinia, Jalil 1 Sajadi, Saba 1 Samavati, Faramarz F. 1 Vakili, Babak 1 Zadeh, Maryam Mohamadi all top 5 Serials 4 Applied Mathematics and Computation 4 Soft Computing 3 Mathematical Sciences 3 Computational Methods for Differential Equations 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Engineering Analysis with Boundary Elements 2 Bulletin of the Georgian National Academy of Sciences. New Series 2 Journal of Linear and Topological Algebra 1 Mathematical Methods in the Applied Sciences 1 International Journal of Approximate Reasoning 1 Computational and Applied Mathematics 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Nonlinear Studies 1 European Journal of Control 1 Journal of Intelligent and Fuzzy Systems 1 International Journal of Geometric Methods in Modern Physics 1 Iranian Journal of Fuzzy Systems 1 Applied Mathematical Sciences (Ruse) 1 Advances in Mathematical Physics 1 TWMS Journal of Pure and Applied Mathematics 1 Mathematical Sciences Quarterly Journal 1 Journal of Fuzzy Set Valued Analysis 1 International Journal of Analysis and Applications 1 International Journal of Applied and Computational Mathematics 1 Results in Applied Mathematics all top 5 Fields 27 Numerical analysis (65-XX) 8 Mathematical logic and foundations (03-XX) 7 Real functions (26-XX) 6 Approximations and expansions (41-XX) 5 Partial differential equations (35-XX) 5 Integral equations (45-XX) 5 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 156 times in 106 Documents Cited by ▼ Year ▼ The nearest approximation of a fuzzy quantity in parametric form. Zbl 1097.41001 Abbasbandy, S.; Amirfakhrian, M. 33 2006 The nearest trapezoidal form of a generalized left right fuzzy number. Zbl 1112.03316 Abbasbandy, S.; Amirfakhrian, M. 33 2006 Numerical approximation of fuzzy functions by fuzzy polynomials. Zbl 1094.65015 Abbasbandy, S.; Amirfakhrian, M. 15 2006 A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. Zbl 1403.65051 Amirfakhrian, M.; Arghand, M.; Kansa, E. J. 14 2016 Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. Zbl 1259.15003 Amirfakhrian, Majid 10 2012 Numerical solution of a fuzzy system of linear equations with polynomial parametric form. Zbl 1122.65036 Amirfakhrian, Majid 5 2007 A new approach to universal approximation of fuzzy functions on a discrete set of points. Zbl 1187.90335 Abbasbandy, S.; Amirfakhrian, M. 5 2006 Numerical solution of algebraic fuzzy equations with crisp variable by Gauss-Newton method. Zbl 1145.65313 Amirfakhrian, Majid 5 2008 Properties of the nearest parametric form approximation operator of fuzzy numbers. Zbl 1212.03037 Amirfakhrian, Majid 5 2010 A meshless method based on the fundamental solution and radial basis function for solving an inverse heat conduction problem. Zbl 1380.65225 Arghand, Muhammad; Amirfakhrian, Majid 4 2015 Approximation of parametric curves by moving least squares method. Zbl 1410.65060 Amirfakhrian, M.; Mafikandi, H. 4 2016 Best approximation of fuzzy functions. Zbl 1123.41020 Abbasbandy, S.; Nieto, Juan J.; Amirfakhrian, M. 3 2007 A method for solving fuzzy matrix equations. Zbl 1398.15011 Amirfakhrian, M.; Fallah, M.; Rodríguez-López, R. 3 2018 Some numerical integration methods based on Bernstein polynomials. Zbl 1225.65032 Amirfakhrian, Majid 2 2011 Solving linear partial differential equations by moving least squares method. Zbl 1351.65077 Mafikandi, Hassan; Amirfakhrian, Majid 2 2015 A fuzzy system based active set algorithm for the numerical solution of the optimal control problem governed by partial differential equation. Zbl 1447.93193 Azizi, Masoomeh; Amirfakhrian, Majid; Araghi, Mohammad Ali Fariborzi 2 2020 The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations. Zbl 1474.65455 Barzegar Kelishami, Hasan; Fariborzi Araghi, Mohammad Ali; Amirfakhrian, Majid 2 2020 Developing two efficient adaptive Newton-type methods with memory. Zbl 1433.65095 Zadeh, Maryam Mohamadi; Lotfi, Taher; Amirfakhrian, Majid 2 2019 Best approximation of multivariate functions in \(\mathcal L_{1}\) and \(\mathcal L_{2}\) by optimization. Zbl 1216.41007 Amirfakhrian, M. 1 2010 Fuzzy quasi-interpolation solution for Fredholm fuzzy integral equations of second kind. Zbl 1429.65306 Amirfakhrian, M.; Shakibi, K.; Rodríguez López, R. 1 2017 Modified Neumann series for solving Fredholm integral equation. Zbl 1175.65148 Amirfakhrian, Majid; Mirzaei, Seyyed Mahmood 1 2009 An iterative Gauss-Newton method to solve an algebraic fuzzy equation with crisp coefficients. Zbl 1303.65033 Amirfakhrian, Majid 1 2011 The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind. Zbl 1463.65431 Mirzaei, Seyyed Mahmood; Amirfakhrian, Majid 1 2019 Scattered data approximation of fully fuzzy data by quasi-interpolation. Zbl 1429.65030 Shakibi, K.; Amirfakhrian, M.; Kansa, E. J. 1 2019 A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations. Zbl 1499.65760 Mirzaei, Seyyed Mahmood; Amirfakhrian, Majid 1 2021 Bernstein polynomial approach for solution of higher-order mixed linear Fredholm integro-differential-difference equations with variable coefficients. Zbl 1508.65176 Davaeifar, S.; Rashidinia, J.; Amirfakhrian, M. 1 2016 A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations. Zbl 1499.65760 Mirzaei, Seyyed Mahmood; Amirfakhrian, Majid 1 2021 A fuzzy system based active set algorithm for the numerical solution of the optimal control problem governed by partial differential equation. Zbl 1447.93193 Azizi, Masoomeh; Amirfakhrian, Majid; Araghi, Mohammad Ali Fariborzi 2 2020 The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations. Zbl 1474.65455 Barzegar Kelishami, Hasan; Fariborzi Araghi, Mohammad Ali; Amirfakhrian, Majid 2 2020 Developing two efficient adaptive Newton-type methods with memory. Zbl 1433.65095 Zadeh, Maryam Mohamadi; Lotfi, Taher; Amirfakhrian, Majid 2 2019 The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind. Zbl 1463.65431 Mirzaei, Seyyed Mahmood; Amirfakhrian, Majid 1 2019 Scattered data approximation of fully fuzzy data by quasi-interpolation. Zbl 1429.65030 Shakibi, K.; Amirfakhrian, M.; Kansa, E. J. 1 2019 A method for solving fuzzy matrix equations. Zbl 1398.15011 Amirfakhrian, M.; Fallah, M.; Rodríguez-López, R. 3 2018 Fuzzy quasi-interpolation solution for Fredholm fuzzy integral equations of second kind. Zbl 1429.65306 Amirfakhrian, M.; Shakibi, K.; Rodríguez López, R. 1 2017 A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. Zbl 1403.65051 Amirfakhrian, M.; Arghand, M.; Kansa, E. J. 14 2016 Approximation of parametric curves by moving least squares method. Zbl 1410.65060 Amirfakhrian, M.; Mafikandi, H. 4 2016 Bernstein polynomial approach for solution of higher-order mixed linear Fredholm integro-differential-difference equations with variable coefficients. Zbl 1508.65176 Davaeifar, S.; Rashidinia, J.; Amirfakhrian, M. 1 2016 A meshless method based on the fundamental solution and radial basis function for solving an inverse heat conduction problem. Zbl 1380.65225 Arghand, Muhammad; Amirfakhrian, Majid 4 2015 Solving linear partial differential equations by moving least squares method. Zbl 1351.65077 Mafikandi, Hassan; Amirfakhrian, Majid 2 2015 Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. Zbl 1259.15003 Amirfakhrian, Majid 10 2012 Some numerical integration methods based on Bernstein polynomials. Zbl 1225.65032 Amirfakhrian, Majid 2 2011 An iterative Gauss-Newton method to solve an algebraic fuzzy equation with crisp coefficients. Zbl 1303.65033 Amirfakhrian, Majid 1 2011 Properties of the nearest parametric form approximation operator of fuzzy numbers. Zbl 1212.03037 Amirfakhrian, Majid 5 2010 Best approximation of multivariate functions in \(\mathcal L_{1}\) and \(\mathcal L_{2}\) by optimization. Zbl 1216.41007 Amirfakhrian, M. 1 2010 Modified Neumann series for solving Fredholm integral equation. Zbl 1175.65148 Amirfakhrian, Majid; Mirzaei, Seyyed Mahmood 1 2009 Numerical solution of algebraic fuzzy equations with crisp variable by Gauss-Newton method. Zbl 1145.65313 Amirfakhrian, Majid 5 2008 Numerical solution of a fuzzy system of linear equations with polynomial parametric form. Zbl 1122.65036 Amirfakhrian, Majid 5 2007 Best approximation of fuzzy functions. Zbl 1123.41020 Abbasbandy, S.; Nieto, Juan J.; Amirfakhrian, M. 3 2007 The nearest approximation of a fuzzy quantity in parametric form. Zbl 1097.41001 Abbasbandy, S.; Amirfakhrian, M. 33 2006 The nearest trapezoidal form of a generalized left right fuzzy number. Zbl 1112.03316 Abbasbandy, S.; Amirfakhrian, M. 33 2006 Numerical approximation of fuzzy functions by fuzzy polynomials. Zbl 1094.65015 Abbasbandy, S.; Amirfakhrian, M. 15 2006 A new approach to universal approximation of fuzzy functions on a discrete set of points. Zbl 1187.90335 Abbasbandy, S.; Amirfakhrian, M. 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 195 Authors 11 Coroianu, Lucian C. 9 Amirfakhrian, Majid 9 Ban, Adrian I. 7 Yeh, Chi-Tsuen 6 Abbasbandy, Saeid 6 Grzegorzewski, Przemysław 5 Pasadas, Miguel 3 Ahmadian, Ali 3 Allahviranloo, Tofigh 3 Bica, Alexandru Mihai 3 Idais, H. 3 Salahshour, Soheil 3 Suleiman, Mohamed Bin 3 Yasin, Mahmoud 3 Yeganehmanesh, Sh. 2 Ahsan, Muhammad 2 Akram, Muhammad 2 Băleanu, Dumitru I. 2 Behera, Diptiranjan 2 Chakraverty, Snehashish 2 Gągolewski, Marek 2 Ghanbari, Reza 2 Otadi, Mahmood 2 Popescu, Constantin 2 Rodríguez-López, Rosana 2 Shanazari, Kamal 2 Torkashvand, Vali 2 Valenzuela, Olga 1 Abbaszadeh, Mostafa 1 Abera, Melaku 1 Ahmady, Elham 1 Ahmady, Nazanin 1 Alvarado, Karen 1 Anzilli, Luca 1 Aubry, Philippe 1 Babaaghaie, A. 1 Bajaj, Chandrajit L. 1 Banei, Siamak 1 Barzegar Kelishami, Hasan 1 Bede, Barnabás 1 Bernacki, Marc 1 Cao, Juan 1 Chandhini, G. 1 Chehlabi, M. 1 Chen, Yiming 1 Chen, Zhonggui 1 Cheng, Chun-Ming 1 Ching, Wai-Ki 1 Chiou, Juing-Shian 1 Chu, Han-Min 1 Comes, Tina 1 Dehghan Takht Fooladi, Mehdi 1 Dou, Fangfang 1 Dreglea, Aliona I. 1 Ebrahimijahan, Ali 1 Ezzati, Reza 1 Facchinetti, Gisella 1 Fan, Chia-Ming 1 Farahani, Hamed Shirinabadi 1 Fariborzi Araghi, Mohammad Ali 1 Feng, Junyao 1 Feng, Renzhong 1 Florez, Sebastian 1 Gal, Sorin Gheorghe 1 García Guirao, Juan Luis 1 Gedefaw, Hussen 1 Ghaemi, Ferial 1 Ghalichi, Shabnam Sadat Seyed 1 Ghanbari, Mojtaba 1 Ghiasi, N. 1 Gholam, A. M. 1 Gidaf, Fasil 1 Gil, María Angeles 1 González-Rodelas, P. 1 Gu, Yan 1 Guo, Sini 1 Hameed, Rabia 1 Han, Cundi 1 He, Xiaoqiao 1 Hiete, Michael 1 Hosseinzadeh, A. A. 1 Hsu, Shih-Meng 1 Huang, Aitong 1 Huang, Liming 1 Hussain, Iltaf 1 Hussain, Nawab 1 Ismail, Nur Baini 1 Jafarzadeh, Yousef 1 Jia, Huangchao 1 Jiang, Hui 1 Kasaeian, Alibakhsh 1 Kassim, Mahmud 1 Kaur, Jeevan Jot 1 Kazemi, Manochehr 1 Khani, Ali 1 Khastan, Alireza 1 Khosravifard, Amir 1 Koam, Ali N. A. 1 Korakianitis, Theodosios 1 Kowsari, Farshad ...and 95 more Authors all top 5 Cited in 43 Serials 22 Fuzzy Sets and Systems 12 Soft Computing 6 Engineering Analysis with Boundary Elements 5 Computers & Mathematics with Applications 5 International Journal of Approximate Reasoning 4 Applied Mathematical Modelling 3 Applied Mathematics and Computation 3 Information Sciences 3 International Journal of Computer Mathematics 3 Inverse Problems in Science and Engineering 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Computational and Applied Mathematics 2 Abstract and Applied Analysis 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Methods in the Applied Sciences 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 Fractals 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 OR Spectrum 1 Journal of Applied Mathematics and Computing 1 Journal of Intelligent and Fuzzy Systems 1 Fuzzy Optimization and Decision Making 1 Advances in Difference Equations 1 Iranian Journal of Fuzzy Systems 1 Advances and Applications in Discrete Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of Applied Mathematics & Informatics 1 Arabian Journal for Science and Engineering 1 Mathematical Sciences 1 International Journal of Analysis and Applications 1 Journal of Mathematical Modeling 1 Results in Applied Mathematics all top 5 Cited in 24 Fields 55 Numerical analysis (65-XX) 37 Mathematical logic and foundations (03-XX) 22 Real functions (26-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Partial differential equations (35-XX) 11 Computer science (68-XX) 10 Approximations and expansions (41-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 6 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year