Edit Profile (opens in new tab) Nikan, Omid Co-Author Distance Author ID: nikan.omid Published as: Nikan, O.; Nikan, Omid Documents Indexed: 38 Publications since 2015, including 2 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 38 Joint Publications 677 Co-Co-Authors all top 5 Co-Authors 0 single-authored 21 Avazzadeh, Zakieh 8 Machado, José António Tenreiro 7 Golbabai, Ahmad 6 Qiu, Wenlin 5 Rasoulizadeh, Mohammad Navaz 3 Guo, Tao 3 Nikazad, Touraj 2 Mesgarani, Hamid 2 Rashidinia, Jalil 2 Xu, Da 1 Aghdam, Y. Esmaeelzade 1 Anh Tuan Nguyen 1 Beuria, Sanghamitra 1 Cao, Y. 1 Ebadi, Mohammad Javad 1 Farnam, Behnaz 1 Han, Xianglin 1 Jafari, Hossein 1 Li, Menglian 1 Luo, Man 1 Molavi-Arabshahi, Mahboubeh 1 Molavi-Arabshai, Seyedeh Mahboubeh 1 Naghizadeh, Zohreh 1 Paikaray, Prit Pritam 1 Parida, Nigam Chandra 1 Qiao, Leijie 1 Rashidnina, J. 1 Sayevand, Khosro 1 Van Tien Nguyen 1 Xiao, Xu 1 Zarvan, Z. all top 5 Serials 6 Engineering Analysis with Boundary Elements 4 Computational and Applied Mathematics 4 International Journal of Applied and Computational Mathematics 3 Applied Numerical Mathematics 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Applied Mathematical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Sciences 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Fractals 1 Nonlinear Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 TWMS Journal of Pure and Applied Mathematics 1 Caspian Journal of Mathematical Sciences 1 Advances in Continuous and Discrete Models all top 5 Fields 33 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 5 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 365 times in 179 Documents Cited by ▼ Year ▼ Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162 Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro 40 2021 Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market. Zbl 1463.91199 Golbabai, Ahmad; Nikan, Omid; Nikazad, Touraj 35 2019 Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 24 2020 Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196 Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A. 21 2021 Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media. Zbl 1411.76113 Golbabai, Ahmad; Nikan, Omid; Nikazad, Touraj 20 2019 A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics. Zbl 1508.65144 Nikan, O.; Avazzadeh, Z. 20 2021 Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. Zbl 07511421 Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J. 19 2021 Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. Zbl 1486.65205 Nikan, O.; Avazzadeh, Z. 19 2021 Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 17 2021 An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory. Zbl 1521.65104 Nikan, O.; Avazzadeh, Z. 17 2021 Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091 Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T. 15 2019 Numerical simulation of fractional evolution model arising in viscoelastic mechanics. Zbl 1486.65206 Nikan, O.; Avazzadeh, Z. 15 2021 An efficient local meshless method for the equal width equation in fluid mechanics. Zbl 1521.76754 Rasoulizadeh, M. N.; Ebadi, M. J.; Avazzadeh, Z.; Nikan, O. 13 2021 The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation. Zbl 1486.65126 Rasoulizadeh, M. N.; Nikan, O.; Avazzadeh, Z. 11 2021 A meshless method for numerical solution of fractional differential equations. Zbl 1415.65175 Golbabai, Ahmad; Nikan, Omid 10 2015 A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082 Cao, Y.; Nikan, O.; Avazzadeh, Z. 7 2023 Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces. Zbl 1521.65105 Nikan, O.; Avazzadeh, Z.; Rasoulizadeh, M. N. 7 2022 A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics. Zbl 07538468 Nikan, O.; Avazzadeh, Z. 7 2022 Numerical approximation of time fractional advection-dispersion model arising from solute transport in rivers. Zbl 1420.86001 Golbabai, Ahmad; Nikan, Omid; Molavi-Arabshahi, Mahboubeh 6 2019 Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves. Zbl 1480.76164 Nikan, Omid; Molavi-Arabshai, Seyedeh Mahboubeh; Jafari, Hossein 6 2021 The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation. Zbl 1472.65101 Mesgarani, H.; Rashidnina, J.; Aghdam, Y. Esmaeelzade; Nikan, O. 6 2020 Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population. Zbl 1498.92004 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 6 2021 Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology. Zbl 1461.65248 Mesgarani, H.; Rashidinia, J.; Aghdam, Y. Esmaeelzade; Nikan, O. 4 2021 Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems. Zbl 1513.35401 Guo, T.; Nikan, O.; Avazzadeh, Z.; Qiu, W. 4 2022 Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. Zbl 1511.65102 Luo, Man; Qiu, Wenlin; Nikan, Omid; Avazzadeh, Zakieh 4 2023 Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. Zbl 1504.65176 Guo, Tao; Nikan, Omid; Qiu, Wenlin; Xu, Da 3 2023 Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media. Zbl 1509.76015 Rasoulizadeh, M. N.; Avazzadeh, Z.; Nikan, O. 3 2022 Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks. Zbl 07636094 Avazzadeh, Zakieh; Nikan, Omid; Tenreiro Machado, José; Rasoulizadeh, Mohammad Navaz 2 2022 Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media. Zbl 1473.65233 Farnam, B.; Esmaeelzade Aghdam, Y.; Nikan, O. 2 2021 A localized hybrid kernel meshless technique for solving the fractional Rayleigh-Stokes problem for an edge in a viscoelastic fluid. Zbl 1521.65085 Avazzadeh, Zakieh; Nikan, Omid; Anh Tuan Nguyen; Van Tien Nguyen 1 2023 An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows. Zbl 07789031 Li, Menglian; Nikan, Omid; Qiu, Wenlin; Xu, Da 1 2022 A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082 Cao, Y.; Nikan, O.; Avazzadeh, Z. 7 2023 Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. Zbl 1511.65102 Luo, Man; Qiu, Wenlin; Nikan, Omid; Avazzadeh, Zakieh 4 2023 Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. Zbl 1504.65176 Guo, Tao; Nikan, Omid; Qiu, Wenlin; Xu, Da 3 2023 A localized hybrid kernel meshless technique for solving the fractional Rayleigh-Stokes problem for an edge in a viscoelastic fluid. Zbl 1521.65085 Avazzadeh, Zakieh; Nikan, Omid; Anh Tuan Nguyen; Van Tien Nguyen 1 2023 Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces. Zbl 1521.65105 Nikan, O.; Avazzadeh, Z.; Rasoulizadeh, M. N. 7 2022 A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics. Zbl 07538468 Nikan, O.; Avazzadeh, Z. 7 2022 Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems. Zbl 1513.35401 Guo, T.; Nikan, O.; Avazzadeh, Z.; Qiu, W. 4 2022 Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media. Zbl 1509.76015 Rasoulizadeh, M. N.; Avazzadeh, Z.; Nikan, O. 3 2022 Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks. Zbl 07636094 Avazzadeh, Zakieh; Nikan, Omid; Tenreiro Machado, José; Rasoulizadeh, Mohammad Navaz 2 2022 An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows. Zbl 07789031 Li, Menglian; Nikan, Omid; Qiu, Wenlin; Xu, Da 1 2022 Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162 Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro 40 2021 Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196 Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A. 21 2021 A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics. Zbl 1508.65144 Nikan, O.; Avazzadeh, Z. 20 2021 Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. Zbl 07511421 Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J. 19 2021 Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. Zbl 1486.65205 Nikan, O.; Avazzadeh, Z. 19 2021 Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 17 2021 An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory. Zbl 1521.65104 Nikan, O.; Avazzadeh, Z. 17 2021 Numerical simulation of fractional evolution model arising in viscoelastic mechanics. Zbl 1486.65206 Nikan, O.; Avazzadeh, Z. 15 2021 An efficient local meshless method for the equal width equation in fluid mechanics. Zbl 1521.76754 Rasoulizadeh, M. N.; Ebadi, M. J.; Avazzadeh, Z.; Nikan, O. 13 2021 The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation. Zbl 1486.65126 Rasoulizadeh, M. N.; Nikan, O.; Avazzadeh, Z. 11 2021 Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves. Zbl 1480.76164 Nikan, Omid; Molavi-Arabshai, Seyedeh Mahboubeh; Jafari, Hossein 6 2021 Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population. Zbl 1498.92004 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 6 2021 Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology. Zbl 1461.65248 Mesgarani, H.; Rashidinia, J.; Aghdam, Y. Esmaeelzade; Nikan, O. 4 2021 Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media. Zbl 1473.65233 Farnam, B.; Esmaeelzade Aghdam, Y.; Nikan, O. 2 2021 Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151 Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 24 2020 The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation. Zbl 1472.65101 Mesgarani, H.; Rashidnina, J.; Aghdam, Y. Esmaeelzade; Nikan, O. 6 2020 Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market. Zbl 1463.91199 Golbabai, Ahmad; Nikan, Omid; Nikazad, Touraj 35 2019 Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media. Zbl 1411.76113 Golbabai, Ahmad; Nikan, Omid; Nikazad, Touraj 20 2019 Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091 Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T. 15 2019 Numerical approximation of time fractional advection-dispersion model arising from solute transport in rivers. Zbl 1420.86001 Golbabai, Ahmad; Nikan, Omid; Molavi-Arabshahi, Mahboubeh 6 2019 A meshless method for numerical solution of fractional differential equations. Zbl 1415.65175 Golbabai, Ahmad; Nikan, Omid 10 2015 all cited Publications top 5 cited Publications all top 5 Cited by 340 Authors 31 Nikan, Omid 22 Avazzadeh, Zakieh 9 Qiu, Wenlin 7 Machado, José António Tenreiro 7 Mesgarani, Hamid 6 Golbabai, Ahmad 6 Ordokhani, Yadollah 5 Rasoulizadeh, Mohammad Navaz 5 Sabermahani, Sedigheh 4 Guo, Tao 4 Rashidinia, Jalil 4 Xu, Da 4 Zaky, Mahmoud A. 3 Aghdam, Yones Esmaeelzade 3 Aminikhah, Hossein 3 Hendy, Ahmed S. 3 Heydari, Mohammad Hossein 3 Hosseininia, Masoumeh 3 Jafari, Hossein 3 Nikazad, Touraj 3 Qiao, Leijie 3 Saha Ray, Santanu 3 Wang, Kangle 2 Abbasbandy, Saeid 2 Aghdam, Y. Esmaeelzade 2 Azari, Yaqub 2 Babolian, Esmail 2 Balasubramaniam, Pagavathigounder 2 Băleanu, Dumitru I. 2 Chen, An 2 Eftekhari, Tahereh 2 Fardi, Mojtaba 2 Farnam, Behnaz 2 Hajinezhad, Haniye 2 Jan, Hameed Ullah 2 Kamran, Mohsin 2 Khalsaraei, Mohammad Mehdizadeh 2 Khan, Arshad 2 Kumar, Sushil 2 Lakestani, Mehrdad 2 Majeed, Abdul 2 Mirzaee, Farshid 2 Nong, Lijuan 2 Padmaja, Narasimman 2 Rahimkhani, Parisa 2 Safdari, Hamid 2 Samadyar, Nasrin 2 Singh, Vineet Kumar 2 Soheili, Ali Reza 2 Sun, Fengxin 2 Taghipour, Mehran 2 Uddin, Marjan 2 Wang, Hao 2 Wang, Jufeng 2 Yang, Xuehua 2 Zhang, Haixiang 2 Zhang, Xindong 1 Abbaszadeh, Mostafa 1 Abdel-Gawad, Hamdy Ibrahim 1 Abdelhakem, Mohamed 1 Abdeljawad, Thabet 1 Abdelkawy, Mohamed A. 1 Abdi, Narjes 1 Abo-Gabal, Howayda 1 Aboelenen, Tarek 1 Adibi, Hojatollah 1 Ahanj, Sara 1 Ahmadian, Ali 1 Ahmed, Hoda F. 1 Al-Saedi, Akeel A. 1 Alam, Mohammad Prawesh 1 Alam, Shariful 1 Ali, Norhashidah Hj. Mohd. 1 Aliev, Fikret Akhmedalioglu 1 Allahviranloo, Tofigh 1 Alsulami, Hamed Hamdan 1 Amin, Rohul 1 Amirfakhrian, Majid 1 An, Xingyu 1 Anh Tuan Nguyen 1 Anh, Vo V. 1 Ansari, Alireza 1 Antonov, Valery 1 Arqub, Omar Abu 1 Asghar, Noreen 1 Atangana, Abdon 1 Babatin, Mohammed M. 1 Bakhshandeh, Masod 1 Bala Abubakar, Auwal 1 Banei, Siamak 1 Bashan, Ali 1 Behera, Srikanta 1 Bekir, Ahmet 1 Biranvand, Nader 1 Bohner, Martin J. 1 Bohra, Mahesh 1 Bonyadi, Samira 1 Bozorgi, S. 1 Brambila-Paz, Fernando 1 Budak, Hüseyin ...and 240 more Authors all top 5 Cited in 50 Serials 34 Computational and Applied Mathematics 20 International Journal of Applied and Computational Mathematics 14 Engineering Analysis with Boundary Elements 9 Mathematical Sciences 8 Mathematics and Computers in Simulation 8 Applied Numerical Mathematics 8 Communications in Nonlinear Science and Numerical Simulation 7 Fractals 5 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 3 Chaos, Solitons and Fractals 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Computational Methods for Differential Equations 2 Journal of Engineering Mathematics 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Mathematical Extension 2 Iranian Journal of Numerical Analysis and Optimization 2 AIMS Mathematics 2 Results in Applied Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Physica A 1 Calcolo 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Journal of Computer and Systems Sciences International 1 Turkish Journal of Mathematics 1 Journal of Mathematical Chemistry 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Soft Computing 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Journal of Applied Mathematics and Computing 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Applications and Applied Mathematics 1 Networks and Heterogeneous Media 1 Advances in Mathematical Physics 1 TWMS Journal of Pure and Applied Mathematics 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Journal of Mathematical Modeling 1 Electronic Research Archive 1 Advances in Continuous and Discrete Models all top 5 Cited in 28 Fields 150 Numerical analysis (65-XX) 108 Partial differential equations (35-XX) 36 Real functions (26-XX) 23 Fluid mechanics (76-XX) 19 Ordinary differential equations (34-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Integral equations (45-XX) 9 Mechanics of deformable solids (74-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year