## Tohidi, Emran

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 Author ID: tohidi.emran Published as: Tohidi, Emran; Tohidi, E. External Links: ORCID
 Documents Indexed: 54 Publications since 2011 Co-Authors: 55 Co-Authors with 53 Joint Publications 1,142 Co-Co-Authors
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all top 5

### Serials

 6 Applied Mathematics and Computation 6 Computational and Applied Mathematics 5 Computers & Mathematics with Applications 5 Abstract and Applied Analysis 4 Journal of Computational and Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mediterranean Journal of Mathematics 2 Applied Mathematical Modelling 2 Mathematical Problems in Engineering 2 Journal of Applied Mathematics 2 Advances in Mathematical Physics 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Applied Numerical Mathematics 1 IMA Journal of Mathematical Control and Information 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Journal of the Egyptian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Journal of Applied Mathematics and Bioinformatics 1 Journal of Computations and Modelling 1 Kuwait Journal of Science 1 Journal of Applied Mathematics, Statistics and Informatics 1 International Journal of Applied and Computational Mathematics
all top 5

### Fields

 48 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 14 Integral equations (45-XX) 10 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 516 times in 296 Documents Cited by Year
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. Zbl 1273.34082
Tohidi, E.; Bhrawy, A. H.; Erfani, K.
2013
A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. Zbl 1302.65274
Bhrawy, A. H.; Tohidi, E.; Soleymani, F.
2012
A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis. Zbl 1329.65238
Toutounian, F.; Tohidi, E.
2013
A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain. Zbl 1275.65041
Toutounian, Faezeh; Tohidi, Emran; Shateyi, Stanford
2013
Optimal control of nonlinear Volterra integral equations via Legendre polynomials. Zbl 1275.49056
Tohidi, E.; Samadi, O. R. N.
2013
The spectral method for solving systems of Volterra integral equations. Zbl 1295.65128
Samadi, O. R. Navid; Tohidi, Emran
2012
A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation. Zbl 1299.49043
2013
Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order. Zbl 1368.65201
Tohidi, Emran; Toutounian, Faezeh
2014
An optimized derivative-free form of the Potra-Pták method. Zbl 1255.65096
Soleymani, Fazlollah; Sharma, Rajni; Li, Xiaowu; Tohidi, Emran
2012
Fourier operational matrices of differentiation and transmission: introduction and applications. Zbl 1275.65036
Toutounian, F.; Tohidi, Emran; Kilicman, A.
2013
A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays. Zbl 1380.65116
Bhrawy, Ali H.; Assas, Laila M.; Tohidi, Emran; Alghamdi, Mohammed A.
2013
Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices. Zbl 1411.65139
Singh, Somveer; Patel, Vijay Kumar; Singh, Vineet Kumar; Tohidi, Emran
2017
Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems. Zbl 1272.49066
Tohidi, Emran; Soleymani, F.; Kilicman, Adem
2013
A new matrix approach for solving second-order linear matrix partial differential equations. Zbl 1350.35061
2016
A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation. Zbl 1266.65138
Tohidi, E.; Erfani, Kh.; Gachpazan, M.; Shateyi, S.
2013
Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems. Zbl 1462.65161
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran
2019
An efficient Legendre pseudospectral method for solving nonlinear quasi bang-bang optimal control problems. Zbl 1277.65104
Tohidi, Emran; Noghabi, Somayyeh Lotfi
2012
A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions. Zbl 1410.65408
Zogheib, Bashar; Tohidi, Emran
2016
A parameterized multi-step Newton method for solving systems of nonlinear equations. Zbl 1350.65046
Ahmad, Fayyaz; Tohidi, Emran; Carrasco, Juan A.
2016
A Bessel collocation method for solving fractional optimal control problems. Zbl 1432.49046
Tohidi, Emran; Saberi Nik, Hassan
2015
Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials. Zbl 1470.65145
Tohidi, Emran; Ezadkhah, M. M.; Shateyi, S.
2014
Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions. Zbl 1409.65078
Singh, Somveer; Patel, Vijay Kumar; Singh, Vineet Kumar; Tohidi, Emran
2018
Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations. Zbl 1401.35306
Patel, Vijay Kumar; Singh, Somveer; Singh, Vineet Kumar; Tohidi, Emran
2018
Numerical solution of two-dimensional Volterra integral equations by spectral Galerkin method. Zbl 1270.65079
2011
A new approach for a class of nonlinear optimal control problems using linear combination property of intervals. Zbl 1238.49047
2011
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. Zbl 1460.65095
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran
2021
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Zbl 07328855
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran
2020
Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals. Zbl 1326.65180
Tohidi, Emran
2015
Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis. Zbl 1438.65258
Yang, Yin; Tohidi, Emran
2019
A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations. Zbl 1463.65429
Mirzaee, Farshid; Bimesl, Saeed; Tohidi, Emran
2016
An efficient pseudospectral method for solving a class of nonlinear optimal control problems. Zbl 1291.49020
Tohidi, Emran; Pasban, Atena; Kilicman, A.; Lotfi Noghabi, S.
2013
An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems. Zbl 1362.65116
Zogheib, Bashar; Tohidi, Emran
2017
A new approach for solving a class of delay fractional partial differential equations. Zbl 1407.65214
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran
2018
An efficient spectral approximation for solving several types of parabolic PDEs with nonlocal boundary conditions. Zbl 1407.65228
Tohidi, E.; Kılıçman, A.
2014
Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels. Zbl 1436.45008
Yang, Yin; Tohidi, Emran; Ma, Xiaohua; Kang, Sujuan
2020
Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs. Zbl 1443.65070
Ahmad, Fayyaz; Tohidi, Emran; Ullah, Malik Zaka; Carrasco, Juan A.
2015
Legendre spectral method for the fractional Bratu problem. Zbl 1451.65162
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo
2020
Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions. Zbl 1404.65206
Zogheib, Bashar; Tohidi, Emran; Shateyi, Stanford
2017
Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations. Zbl 1419.65086
Zogheib, Bashar; Tohidi, Emran
2018
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2019
Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations. Zbl 1303.65112
Tohidi, Emran; Samadi, O. R. Navid; Shateyi, S.
2014
An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. Zbl 1439.65052
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2020
A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. Zbl 07394281
Xu, Minqiang; Niu, Jing; Tohidi, Emran; Hou, Jinjiao; Jiang, Danhua
2021
A computational method to price with transaction costs under the nonlinear Black-Scholes model. Zbl 1448.91322
Al-Zhour, Zeyad; Barfeie, Mahdiar; Soleymani, Fazlollah; Tohidi, Emran
2019
Numerical solution of time-dependent diffusion equations with nonlocal boundary conditions via a fast matrix approach. Zbl 1332.65150
Tohidi, Emran; Toutounian, Faezeh
2016
A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula. Zbl 1387.41017
Rządkowski, Grzegorz; Tohidi, Emran
2018
A radial basis function – Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options. Zbl 1437.91458
Yang, Yin; Soleymani, Fazlollah; Barfeie, Mahdiar; Tohidi, Emran
2020
High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels. Zbl 07422801
Deng, Guoting; Yang, Yin; Tohidi, Emran
2021
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. Zbl 1460.65095
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran
2021
A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. Zbl 07394281
Xu, Minqiang; Niu, Jing; Tohidi, Emran; Hou, Jinjiao; Jiang, Danhua
2021
High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels. Zbl 07422801
Deng, Guoting; Yang, Yin; Tohidi, Emran
2021
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Zbl 07328855
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran
2020
Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels. Zbl 1436.45008
Yang, Yin; Tohidi, Emran; Ma, Xiaohua; Kang, Sujuan
2020
Legendre spectral method for the fractional Bratu problem. Zbl 1451.65162
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo
2020
An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. Zbl 1439.65052
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2020
A radial basis function – Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options. Zbl 1437.91458
Yang, Yin; Soleymani, Fazlollah; Barfeie, Mahdiar; Tohidi, Emran
2020
Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems. Zbl 1462.65161
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran
2019
Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis. Zbl 1438.65258
Yang, Yin; Tohidi, Emran
2019
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E.
2019
A computational method to price with transaction costs under the nonlinear Black-Scholes model. Zbl 1448.91322
Al-Zhour, Zeyad; Barfeie, Mahdiar; Soleymani, Fazlollah; Tohidi, Emran
2019
Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions. Zbl 1409.65078
Singh, Somveer; Patel, Vijay Kumar; Singh, Vineet Kumar; Tohidi, Emran
2018
Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations. Zbl 1401.35306
Patel, Vijay Kumar; Singh, Somveer; Singh, Vineet Kumar; Tohidi, Emran
2018
A new approach for solving a class of delay fractional partial differential equations. Zbl 1407.65214
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran
2018
Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations. Zbl 1419.65086
Zogheib, Bashar; Tohidi, Emran
2018
A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula. Zbl 1387.41017
Rządkowski, Grzegorz; Tohidi, Emran
2018
Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices. Zbl 1411.65139
Singh, Somveer; Patel, Vijay Kumar; Singh, Vineet Kumar; Tohidi, Emran
2017
An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems. Zbl 1362.65116
Zogheib, Bashar; Tohidi, Emran
2017
Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions. Zbl 1404.65206
Zogheib, Bashar; Tohidi, Emran; Shateyi, Stanford
2017
A new matrix approach for solving second-order linear matrix partial differential equations. Zbl 1350.35061
2016
A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions. Zbl 1410.65408
Zogheib, Bashar; Tohidi, Emran
2016
A parameterized multi-step Newton method for solving systems of nonlinear equations. Zbl 1350.65046
Ahmad, Fayyaz; Tohidi, Emran; Carrasco, Juan A.
2016
A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations. Zbl 1463.65429
Mirzaee, Farshid; Bimesl, Saeed; Tohidi, Emran
2016
Numerical solution of time-dependent diffusion equations with nonlocal boundary conditions via a fast matrix approach. Zbl 1332.65150
Tohidi, Emran; Toutounian, Faezeh
2016
A Bessel collocation method for solving fractional optimal control problems. Zbl 1432.49046
Tohidi, Emran; Saberi Nik, Hassan
2015
Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals. Zbl 1326.65180
Tohidi, Emran
2015
Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs. Zbl 1443.65070
Ahmad, Fayyaz; Tohidi, Emran; Ullah, Malik Zaka; Carrasco, Juan A.
2015
Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order. Zbl 1368.65201
Tohidi, Emran; Toutounian, Faezeh
2014
Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials. Zbl 1470.65145
Tohidi, Emran; Ezadkhah, M. M.; Shateyi, S.
2014
An efficient spectral approximation for solving several types of parabolic PDEs with nonlocal boundary conditions. Zbl 1407.65228
Tohidi, E.; Kılıçman, A.
2014
Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations. Zbl 1303.65112
Tohidi, Emran; Samadi, O. R. Navid; Shateyi, S.
2014
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. Zbl 1273.34082
Tohidi, E.; Bhrawy, A. H.; Erfani, K.
2013
A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis. Zbl 1329.65238
Toutounian, F.; Tohidi, E.
2013
A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain. Zbl 1275.65041
Toutounian, Faezeh; Tohidi, Emran; Shateyi, Stanford
2013
Optimal control of nonlinear Volterra integral equations via Legendre polynomials. Zbl 1275.49056
Tohidi, E.; Samadi, O. R. N.
2013
A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation. Zbl 1299.49043
2013
Fourier operational matrices of differentiation and transmission: introduction and applications. Zbl 1275.65036
Toutounian, F.; Tohidi, Emran; Kilicman, A.
2013
A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays. Zbl 1380.65116
Bhrawy, Ali H.; Assas, Laila M.; Tohidi, Emran; Alghamdi, Mohammed A.
2013
Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems. Zbl 1272.49066
Tohidi, Emran; Soleymani, F.; Kilicman, Adem
2013
A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation. Zbl 1266.65138
Tohidi, E.; Erfani, Kh.; Gachpazan, M.; Shateyi, S.
2013
An efficient pseudospectral method for solving a class of nonlinear optimal control problems. Zbl 1291.49020
Tohidi, Emran; Pasban, Atena; Kilicman, A.; Lotfi Noghabi, S.
2013
A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. Zbl 1302.65274
Bhrawy, A. H.; Tohidi, E.; Soleymani, F.
2012
The spectral method for solving systems of Volterra integral equations. Zbl 1295.65128
Samadi, O. R. Navid; Tohidi, Emran
2012
An optimized derivative-free form of the Potra-Pták method. Zbl 1255.65096
Soleymani, Fazlollah; Sharma, Rajni; Li, Xiaowu; Tohidi, Emran
2012
An efficient Legendre pseudospectral method for solving nonlinear quasi bang-bang optimal control problems. Zbl 1277.65104
Tohidi, Emran; Noghabi, Somayyeh Lotfi
2012
Numerical solution of two-dimensional Volterra integral equations by spectral Galerkin method. Zbl 1270.65079
2011
A new approach for a class of nonlinear optimal control problems using linear combination property of intervals. Zbl 1238.49047
2011
all top 5

### Cited by 467 Authors

 24 Applied Mathematics and Computation 21 Abstract and Applied Analysis 19 Journal of Computational and Applied Mathematics 17 Computational and Applied Mathematics 15 Applied Numerical Mathematics 10 International Journal of Applied and Computational Mathematics 9 Advances in Difference Equations 8 Computers & Mathematics with Applications 8 Mathematics and Computers in Simulation 7 International Journal of Computer Mathematics 7 Advances in Mathematical Physics 6 Chaos, Solitons and Fractals 6 Computational Methods for Differential Equations 5 Numerical Algorithms 5 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 5 Mathematical Sciences 4 Applied Mathematics Letters 4 Journal of the Egyptian Mathematical Society 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 4 Mediterranean Journal of Mathematics 4 Algorithms 4 S$$\vec{\text{e}}$$MA Journal 4 Journal of Mathematics 3 Journal of Mathematical Chemistry 3 Mathematical Modelling and Analysis 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Journal of Function Spaces 2 Mathematical Methods in the Applied Sciences 2 Journal of Optimization Theory and Applications 2 Bulletin of the Iranian Mathematical Society 2 Turkish Journal of Mathematics 2 Fractals 2 Journal of Vibration and Control 2 Hacettepe Journal of Mathematics and Statistics 2 International Journal of Differential Equations 2 Advances in Applied Mathematics and Mechanics 2 Iranian Journal of Numerical Analysis and Optimization 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Acta Mathematica Vietnamica 1 Automatica 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Journal of Scientific Computing 1 Computational Mathematics and Mathematical Physics 1 Indagationes Mathematicae. New Series 1 Filomat 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Journal of Applied Analysis 1 Mathematical Communications 1 Nonlinear Dynamics 1 Soft Computing 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Kragujevac Journal of Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Proyecciones 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics in Computer Science 1 Asian-European Journal of Mathematics 1 International Journal of Biomathematics 1 Journal of Nonlinear Science and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematics and Computer Science. JMCS 1 ISRN Mathematical Analysis 1 Afrika Matematika 1 Iranian Journal of Mathematical Sciences and Informatics 1 Arabian Journal of Mathematics 1 Journal of Applied Mathematics, Statistics and Informatics 1 Journal of Linear and Topological Algebra 1 Journal of Mathematical Modeling 1 Transactions of A. Razmadze Mathematical Institute 1 AIMS Mathematics 1 Electronic Research Archive