Edit Profile (opens in new tab) Çelik, Ercan Co-Author Distance Author ID: celik.ercan Published as: Çelik, Ercan; Celik, Ercan; Çelík, Ercan more...less Documents Indexed: 47 Publications since 2002, including 3 Additional arXiv Preprints Co-Authors: 28 Co-Authors with 42 Joint Publications 1,121 Co-Co-Authors all top 5 Co-Authors 2 single-authored 13 Bayram, Mustafa 5 Gökdoğan, Ahmet 5 Ünal, Emrah 5 Yiğider, Muhammed 4 Aykut, Arzu 3 Dokuyucu, Mustafa Ali 2 Küçük, Gökçe Dilek 2 Lanbaran, Naiyer Mohammadi 2 Najafi, Ramin 2 Tabatabaei, Khatereh 2 Yeloğlu, Turgut 1 Akdemir, Ahmet Ocak 1 Aslan, Sinan 1 Băleanu, Dumitru I. 1 Düşünceli, Faruk 1 Geçmen, Merve Zeynep 1 Günerhan, Hatira 1 Karaduman, Erdal 1 Karta, Melike 1 Khodadadi, Ekhtiar 1 Kiliç, S. Ş. Ş. 1 Koçak, Yusuf 1 Kotan, Özgür 1 Piṣkin, Erhan 1 Şimşek, Hakan 1 Turut, Veyis 1 Uyanik, Neslihan 1 Yagub, Gabil 1 Yılmaz, Nebi all top 5 Serials 14 Applied Mathematics and Computation 2 Mathematical Methods in the Applied Sciences 2 Physics of Fluids 2 Discrete Dynamics in Nature and Society 2 Miskolc Mathematical Notes 2 Advances in Mathematical Physics 2 Applied Mathematics and Nonlinear Sciences 1 International Journal for Numerical Methods in Fluids 1 Journal of the Franklin Institute 1 Ricerche di Matematica 1 Numerical Methods for Partial Differential Equations 1 International Journal of Computer Mathematics 1 Filomat 1 Journal of Applied Mathematics 1 Computational Biology and Chemistry 1 Fixed Point Theory and Applications 1 Advances in Difference Equations 1 Boundary Value Problems 1 International Journal of Applied Mathematics and Statistics 1 European Journal of Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Applied and Computational Mathematics 1 International Journal of Nonlinear Science 1 Kuwait Journal of Science 1 Journal of Function Spaces all top 5 Fields 24 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 3 Fluid mechanics (76-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 194 times in 148 Documents Cited by ▼ Year ▼ On the numerical solution of differential-algebraic equations by Padé series. Zbl 1031.65092 Çelik, Ercan; Bayram, Mustafa 22 2003 Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative. Zbl 1513.92009 Dokuyucu, Mustafa Ali; Baleanu, Dumitru; Çelik, Ercan 18 2018 Arbitrary order numerical method for solving differential-algebraic equation by Padé series. Zbl 1031.65091 Çelik, Ercan; Bayram, Mustafa 15 2003 On the numerical solution of differential–algebraic equations with index-2. Zbl 1061.65074 Çelik, Ercan 12 2004 Existence and uniqueness theorems for sequential linear conformable fractional differential equations. Zbl 1389.34012 Gökdoğan, Ahmet; Ünal, Emrah; Çelík, Ercan 12 2016 Analytical and approximate solutions of fractional partial differential-algebraic equations. Zbl 1506.65178 Günerhan, Hatıra; Çelik, Ercan 11 2020 The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs). Zbl 1062.65079 Çelik, Ercan; Bayram, Mustafa 10 2005 Numerical solutions of chemical differential-algebraic equations. Zbl 1027.65108 Çelik, Ercan; Karaduman, Erdal; Bayram, Mustafa 10 2003 Numerical solution of differential–algebraic equation systems and applications. Zbl 1058.65085 Çelik, Ercan; Bayram, Mustafa 9 2004 The variational iteration method for fuzzy fractional differential equations with uncertainty. Zbl 1285.34008 Khodadadi, Ekhtiar; Çelik, Ercan 9 2013 The numerical method for solving differential equations of Lane-Emden type by Padé approximation. Zbl 1217.65142 Yiğider, Muhammed; Tabatabaei, Khatereh; Çelik, Ercan 7 2011 Solutions around a regular \(\alpha\) singular point of a sequential conformable fractional differential equation. Zbl 1463.34025 Unal, Emrah; Gokdogan, Ahmet; Celik, Ercan 6 2017 Numerical solution for high-order linear complex differential equations with variable coefficients. Zbl 1407.65083 Düşünceli, Faruk; Çelik, Ercan 5 2018 The modified successive approximations method and Padé approximants for solving the differential equation with variant retarded argument. Zbl 1055.65088 Çelik, Ercan; Aykut, Arzu; Bayram, Mustafa 5 2004 The modified two sided approximations method and Padé approximants for solving the differential equation with variant retarded argument. Zbl 1055.65087 Aykut, Arzu; Çelik, Ercan; Bayram, Mustafa 4 2003 Analyzing a novel coronavirus model (COVID-19) in the sense of Caputo-Fabrizio fractional operator. Zbl 1475.92154 Dokuyucu, Mustafa Ali; Çelik, Ercan 4 2021 Numerical solution of Volterra-Fredholm integral equations with Hosoya polynomials. Zbl 1469.65175 Geçmen, Merve Zeynep; Çelik, Ercan 4 2021 On the numerical solution of chemical differential-algebraic equations by Padé series. Zbl 1048.65079 Çelik, Ercan 3 2004 Multivariate Padé approximation for solving partial differential equations (PDE). Zbl 1219.65116 Turut, Veyis; Çelik, Ercan; Yiğider, Muhammed 3 2011 The ordinary successive approximations method and Padé approximants for solving a differential equation with variant retarded argument. Zbl 1030.65083 Çelik, Ercan; Aykut, Arzu; Bayram, Mustafa 3 2003 The numerical solution of partial differential-algebraic equations. Zbl 1370.65048 Yigider, Muhammed; Çelik, Ercan 3 2013 Modified iteration method for solving fractional gas dynamics equation. Zbl 1404.44002 Najafi, Ramin; Küçük, Gökçe Dilek; Çelik, Ercan 3 2017 Shear layer oscillation along a perforated surface: A self-excited large-scale instability. Zbl 1185.76076 Celik, E.; Rockwell, D. 3 2002 Solving a class of Volterra integral equation systems by the differential transform method. Zbl 1396.65162 Celik, Ercan; Tabatabaei, Khatereh 3 2013 Evaluation of investment opportunities with interval-valued fuzzy TOPSIS method. Zbl 1506.91042 Lanbaran, Naiyer Mohammadi; Celik, Ercan; Yiğider, Muhammed 3 2020 Exponentially convex functions on the coordinates and novel estimations via Riemann-Liouville fractional operator. Zbl 1547.26023 Akdemir, Ahmet Ocak; Aslan, Sinan; Dokuyucu, Mustafa Ali; Çelik, Ercan 3 2023 On the numerical solution of differential-algebraic equations with Hessenberg index-3. Zbl 1237.65087 Karta, Melike; Çelik, Ercan 2 2012 Chebyshev series approximation for solving differential-algebraic equations (DAEs). Zbl 1114.65096 Çelik, Ercan; Yeloğlu, Turgut 2 2006 The successive approximation method and Padé approximants for solutions the non-linear boundary value problem. Zbl 1032.65081 Şimşek, Hakan; Çelik, Ercan 2 2003 Coupled oscillations of flow along a perforated plate. Zbl 1186.76093 Celik, E.; Rockwell, D. 1 2004 The numerical solution of partial differential-algebraic equations (PDAEs) by multivariate Padé approximation. Zbl 1213.35041 Yiğider, Muhammed; Çelik, Ercan 1 2011 Exponentially convex functions on the coordinates and novel estimations via Riemann-Liouville fractional operator. Zbl 1547.26023 Akdemir, Ahmet Ocak; Aslan, Sinan; Dokuyucu, Mustafa Ali; Çelik, Ercan 3 2023 Analyzing a novel coronavirus model (COVID-19) in the sense of Caputo-Fabrizio fractional operator. Zbl 1475.92154 Dokuyucu, Mustafa Ali; Çelik, Ercan 4 2021 Numerical solution of Volterra-Fredholm integral equations with Hosoya polynomials. Zbl 1469.65175 Geçmen, Merve Zeynep; Çelik, Ercan 4 2021 Analytical and approximate solutions of fractional partial differential-algebraic equations. Zbl 1506.65178 Günerhan, Hatıra; Çelik, Ercan 11 2020 Evaluation of investment opportunities with interval-valued fuzzy TOPSIS method. Zbl 1506.91042 Lanbaran, Naiyer Mohammadi; Celik, Ercan; Yiğider, Muhammed 3 2020 Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative. Zbl 1513.92009 Dokuyucu, Mustafa Ali; Baleanu, Dumitru; Çelik, Ercan 18 2018 Numerical solution for high-order linear complex differential equations with variable coefficients. Zbl 1407.65083 Düşünceli, Faruk; Çelik, Ercan 5 2018 Solutions around a regular \(\alpha\) singular point of a sequential conformable fractional differential equation. Zbl 1463.34025 Unal, Emrah; Gokdogan, Ahmet; Celik, Ercan 6 2017 Modified iteration method for solving fractional gas dynamics equation. Zbl 1404.44002 Najafi, Ramin; Küçük, Gökçe Dilek; Çelik, Ercan 3 2017 Existence and uniqueness theorems for sequential linear conformable fractional differential equations. Zbl 1389.34012 Gökdoğan, Ahmet; Ünal, Emrah; Çelík, Ercan 12 2016 The variational iteration method for fuzzy fractional differential equations with uncertainty. Zbl 1285.34008 Khodadadi, Ekhtiar; Çelik, Ercan 9 2013 The numerical solution of partial differential-algebraic equations. Zbl 1370.65048 Yigider, Muhammed; Çelik, Ercan 3 2013 Solving a class of Volterra integral equation systems by the differential transform method. Zbl 1396.65162 Celik, Ercan; Tabatabaei, Khatereh 3 2013 On the numerical solution of differential-algebraic equations with Hessenberg index-3. Zbl 1237.65087 Karta, Melike; Çelik, Ercan 2 2012 The numerical method for solving differential equations of Lane-Emden type by Padé approximation. Zbl 1217.65142 Yiğider, Muhammed; Tabatabaei, Khatereh; Çelik, Ercan 7 2011 Multivariate Padé approximation for solving partial differential equations (PDE). Zbl 1219.65116 Turut, Veyis; Çelik, Ercan; Yiğider, Muhammed 3 2011 The numerical solution of partial differential-algebraic equations (PDAEs) by multivariate Padé approximation. Zbl 1213.35041 Yiğider, Muhammed; Çelik, Ercan 1 2011 Chebyshev series approximation for solving differential-algebraic equations (DAEs). Zbl 1114.65096 Çelik, Ercan; Yeloğlu, Turgut 2 2006 The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs). Zbl 1062.65079 Çelik, Ercan; Bayram, Mustafa 10 2005 On the numerical solution of differential–algebraic equations with index-2. Zbl 1061.65074 Çelik, Ercan 12 2004 Numerical solution of differential–algebraic equation systems and applications. Zbl 1058.65085 Çelik, Ercan; Bayram, Mustafa 9 2004 The modified successive approximations method and Padé approximants for solving the differential equation with variant retarded argument. Zbl 1055.65088 Çelik, Ercan; Aykut, Arzu; Bayram, Mustafa 5 2004 On the numerical solution of chemical differential-algebraic equations by Padé series. Zbl 1048.65079 Çelik, Ercan 3 2004 Coupled oscillations of flow along a perforated plate. Zbl 1186.76093 Celik, E.; Rockwell, D. 1 2004 On the numerical solution of differential-algebraic equations by Padé series. Zbl 1031.65092 Çelik, Ercan; Bayram, Mustafa 22 2003 Arbitrary order numerical method for solving differential-algebraic equation by Padé series. Zbl 1031.65091 Çelik, Ercan; Bayram, Mustafa 15 2003 Numerical solutions of chemical differential-algebraic equations. Zbl 1027.65108 Çelik, Ercan; Karaduman, Erdal; Bayram, Mustafa 10 2003 The modified two sided approximations method and Padé approximants for solving the differential equation with variant retarded argument. Zbl 1055.65087 Aykut, Arzu; Çelik, Ercan; Bayram, Mustafa 4 2003 The ordinary successive approximations method and Padé approximants for solving a differential equation with variant retarded argument. Zbl 1030.65083 Çelik, Ercan; Aykut, Arzu; Bayram, Mustafa 3 2003 The successive approximation method and Padé approximants for solutions the non-linear boundary value problem. Zbl 1032.65081 Şimşek, Hakan; Çelik, Ercan 2 2003 Shear layer oscillation along a perforated surface: A self-excited large-scale instability. Zbl 1185.76076 Celik, E.; Rockwell, D. 3 2002 all cited Publications top 5 cited Publications all top 5 Cited by 302 Authors 14 Çelik, Ercan 12 Bayram, Mustafa 6 Baskonus, Haci Mehmet 6 Guzel, Nuran 5 Akdemir, Ahmet Ocak 5 Băleanu, Dumitru I. 4 Arqub, Omar Abu 4 Attili, Basem S. 4 Aykut, Arzu 4 Set, Erhan 3 Al-Smadi, Mohammed H. 3 Benhammouda, Brahim 3 Bica, Alexandru Mihai 3 Butt, Saad Ihsan 3 García Guirao, Juan Luis 3 Momani, Shaher M. 3 Nguyen Huy Tuan 3 Rashid, Saima 3 Sezer, Mehmet 3 Vázquez-Leal, Héctor 2 Abdeljawad, Thabet 2 Abouelmagd, Elbaz I. 2 Acan, Omer 2 Agarwal, Praveen 2 Alhodaly, Mohammed Sh. 2 Aminataei, Azim 2 Boulaaras, Salah Mahmoud 2 Chu, Yuming 2 Curila, Mircea 2 Curila, Sorin 2 Dutta, Hemen 2 Ganji, Roghayeh Moallem 2 Hao, Han 2 İskender Eroğlu, Beyza Billur 2 Jafari, Hossein 2 Khalil, Roshdi Rashid 2 Khan, Yasir 2 Narsale, Sonali Mandar 2 Nguyen-Ba, Truong 2 Singh, Jagdev 2 Šmarda, Zdeněk 2 Turut, Veyis 2 Vaillancourt, Rémi 2 Vanani, Solat Karimi 2 Yagoub, Hemza 2 Yapişkan, Dilara 2 Yiğider, Muhammed 2 Yousaf, Saba 2 Yüzbaşı, Şuayip 1 Abd, Ghazwa F. 1 Abdalla, Mohamed 1 Abdullah, Saleh 1 Abu-Ghneim, Shefa 1 Abu-Hatab, Alaa 1 Adel, Mohamed H. 1 Adm, Mohammad 1 Aduroja, Ojo Olamiposi 1 Ahmad, Muhammad Zaini 1 Ajileye, Ganiyu 1 Akbar, Saira Bano 1 Akbarfam, Aliasghar Jodayree 1 Akçetin, Eyüp 1 Akel, Mohamed S. 1 Akgül, Ali 1 Akinlar, Mehmet Ali 1 Aktaş, Muhammed Bahadırhan 1 Al Qurashi, Maysaa’ Mohamed 1 Alan, Emrullah Aykan 1 Alawneh, Ahmad 1 Albzeirat, Asia Khalaf 1 Ali Zaki, Mfida 1 Ali, Hegagi Mohamed 1 Alkan, Sertan 1 Almeida, Ricardo 1 Alqudah, Manar A. 1 Alsayyed, Omar 1 Ameen, Ismail Gad 1 Arslan, Derya 1 Avci Ardic, Merve 1 Awawdeh, Fadi 1 Ayaz, Fatma 1 Ayoub, Aseel 1 Aznar, Fidel 1 Bagwan, Arif S. 1 Bahrami, Fariba 1 Bano, Rahat 1 Bao, Ngoc Tran 1 Baş, Erdal 1 Batool, Rida 1 Bermudez, German Rodriguez 1 Bhatti, Muhammad Yousaf 1 Bidgoli, Tayebeh Aliabdoli 1 Bohner, Martin J. 1 Botmart, Thongchai 1 Bustince Sola, Humberto 1 Cao, Dengqing 1 Caraballo Garrido, Tomás 1 Cattani, Carlo 1 Çelik, Barış 1 Celik, Canan ...and 202 more Authors all top 5 Cited in 55 Serials 22 Applied Mathematics and Computation 11 Mathematical Methods in the Applied Sciences 11 Advances in Difference Equations 7 Chaos, Solitons and Fractals 7 Discrete Dynamics in Nature and Society 5 Computers & Mathematics with Applications 5 International Journal of Computer Mathematics 5 Journal of Inequalities and Applications 4 Fractals 3 Numerical Methods for Partial Differential Equations 3 Computational and Applied Mathematics 3 Journal of Applied Mathematics 3 Journal of Function Spaces 3 Applied Mathematics and Nonlinear Sciences 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Journal of Dynamical Systems and Geometric Theories 2 Missouri Journal of Mathematical Sciences 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 2 Open Mathematics 2 AIMS Mathematics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Georgian Mathematical Journal 1 Nonlinear Dynamics 1 Soft Computing 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Kragujevac Journal of Mathematics 1 International Journal of Computational Methods 1 International Journal of Geometric Methods in Modern Physics 1 Waves in Random and Complex Media 1 Applications and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Tbilisi Mathematical Journal 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Mathematics 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations 1 Moroccan Journal of Pure and Applied Analysis 1 Korean Journal of Mathematics 1 Electronic Research Archive all top 5 Cited in 27 Fields 74 Numerical analysis (65-XX) 68 Ordinary differential equations (34-XX) 39 Real functions (26-XX) 35 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 6 Integral equations (45-XX) 6 Systems theory; control (93-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year