Compute Distance To:
 Documents Indexed: 110 Publications since 1997 Co-Authors: 43 Co-Authors with 90 Joint Publications 894 Co-Co-Authors
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### Serials

 9 Chaos, Solitons and Fractals 7 Mathematical Methods in the Applied Sciences 6 International Journal of Computer Mathematics 5 Journal of Computational and Applied Mathematics 5 Applied Numerical Mathematics 5 Engineering Analysis with Boundary Elements 5 Journal of Mathematical Extension 4 Journal of Computational Physics 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Mathematics and Computers in Simulation 3 Journal of Applied Mathematics and Computing 3 Advances in Difference Equations 2 Applied Mathematics and Computation 2 Fractals 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 International Journal of Applied and Computational Mathematics 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Wavelets and Linear Algebra 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Journal of Algorithms 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 Fundamenta Informaticae 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 International Journal of Computational Methods 1 Inverse Problems in Science and Engineering 1 Applied Mathematical Sciences (Ruse) 1 Applicable Analysis and Discrete Mathematics 1 International Journal of Biomathematics 1 Tbilisi Mathematical Journal 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Caspian Journal of Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Poincare Journal of Analysis and Applications 1 Computational Methods for Differential Equations 1 Waves, Wavelets and Fractals. Advanced Analysis 1 Transactions of A. Razmadze Mathematical Institute
all top 5

### Fields

 88 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 21 Ordinary differential equations (34-XX) 19 Integral equations (45-XX) 13 Real functions (26-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Probability theory and stochastic processes (60-XX) 9 Approximations and expansions (41-XX) 7 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

79 Publications have been cited 898 times in 455 Documents Cited by Year
Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1298.65181
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
2014
A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation. Zbl 1380.65185
Tayebi, A.; Shekari, Y.; Heydari, M. H.
2017
Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions. Zbl 1287.65113
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Fereidouni, F.
2013
A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Zbl 1349.65711
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2014
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2015
On the diameter of the pancake network. Zbl 0888.68007
Heydari, Mohammad H.; Sudborough, I. Hal
1997
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2016
An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics. Zbl 1351.60088
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Maalek Ghaini, F. M.
2015
Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind. Zbl 1247.65159
2012
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G.
2017
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
2018
Wavelet collocation method for solving multiorder fractional differential equations. Zbl 1235.42034
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Mohammadi, F.
2012
A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type. Zbl 1427.65287
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.
2014
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C.
2018
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems. Zbl 1349.65710
Heydari, M.; Avazzadeh, Z.; Navabpour, H.; Loghmani, G. B.
2013
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming
2013
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 07265263
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z.
2018
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C.
2016
A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions. Zbl 1228.65242
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
Chebyshev wavelets method for solution of nonlinear fractional integrodifferential equations in a large interval. Zbl 1291.65245
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Li, Ming
2013
An efficient computational method for solving fractional biharmonic equation. Zbl 1369.35106
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.
2014
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. Zbl 1217.65236
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Zbl 1433.49045
Heydari, M. H.
2020
An iterative technique for the numerical solution of nonlinear stochastic Itô-Volterra integral equations. Zbl 1380.65019
Saffarzadeh, M.; Loghmani, G. B.; Heydari, M.
2018
Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation. Zbl 1449.65141
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2013
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z.
2020
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H.
2017
A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. Zbl 1451.49044
Heydari, M. H.
2019
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z.
2019
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2019
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.
2018
A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method. Zbl 1335.49051
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.
2016
An efficient computational method based on the hat functions for solving fractional optimal control problems. Zbl 1341.49038
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Smooth solution of partial integro-differential equations using radial basis functions. Zbl 1297.35260
Avazzadeh, Z.; Heydari, M.; Chen, W.; Loghmani, G. B.
2014
On two new families of iterative methods for solving nonlinear equations with optimal order. Zbl 1299.65092
Heydari, M.; Hosseini, S. M.; Loghmani, G. B.
2011
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R.
2019
A good approximate solution for Liénard equation in a large interval using block pulse functions. Zbl 1312.65112
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek
2013
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65103
Hosseininia, M.; Heydari, M. H.
2019
Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Itô-Volterra integral equations with $$m$$-dimensional Brownian motion. Zbl 1477.65024
Saffarzadeh, M.; Heydari, M.; Loghmani, G. B.
2019
Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation. Zbl 1359.33007
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2017
A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials. Zbl 1424.76046
Hosseini, Ehsan; Loghmani, Ghasem Barid; Heydari, Mohammad; Wazwaz, Abdul-Majid
2017
Application of shifted Jacobi pseudospectral method for solving (in)finite-horizon min-max optimal control problems with uncertainty. Zbl 1397.49035
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.
2018
Legendre wavelets method for numerical solution of time-fractional heat equation. Zbl 1369.65127
Heydari, M. H.; Maalek Ghaini, F. M.; Hooshmandasl, M. R.
2014
A new wavelet method for solving the Helmholtz equation with complex solution. Zbl 1350.65125
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Marji, M. Fatehi; Dehghan, R.; Memarian, M. H.
2016
An improved piecewise variational iteration method for solving strongly nonlinear oscillators. Zbl 1319.65059
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2015
An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274
Heydari, M. H.; Atangana, A.
2020
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A numerical simulation of MHD flow and radiation heat transfer of nanofluids through a porous medium with variable surface heat flux and chemical reaction. Zbl 1462.65211
2019
Jacobi-Picard iteration method for the numerical solution of nonlinear initial value problems. Zbl 1452.65121
2020
Convergence analysis of an iterative algorithm to solve system of nonlinear stochastic Itô-Volterra integral equations. Zbl 1448.60129
2020
Nash equilibrium approximation of some class of stochastic differential games: a combined Chebyshev spectral collocation method with policy iteration. Zbl 1418.91067
2019
Numerical solution of Itô-Volterra integral equation by least squares method. Zbl 1456.65005
Ahmadinia, M.; Afshari, A. H.; Heydari, M.
2020
A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Zbl 1464.65121
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2021
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. Zbl 1464.65144
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2021
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65104
Hosseininia, M.; Heydari, M. H.
2019
An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations. Zbl 1401.65086
2018
The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions. Zbl 1348.34044
2016
A cost-aware efficient RAM structure based on quantum-dot cellular automata nanotechnology. Zbl 07145407
Heydari, Mohammad; Xiaohu, Zhou; Lai, Kin Keung; Afro, S.
2019
Haar wavelet method for solving nonlinear age-structured population models. Zbl 1386.35405
2017
On the inverse eigenvalue problem for periodic Jacobi matrices. Zbl 1461.65054
Heydari, M.; Fazeli, S. A. Shahzadeh; Karbassi, S. M.; Hooshmandasl, M. R.
2020
A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation. Zbl 07376640
Hosseininia, M.; Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Avazzadeh, Z.
2021
Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative. Zbl 07376723
2021
Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation. Zbl 1473.35485
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
Fibonacci polynomials for the numerical solution of variable-order space-time fractional Burgers-Huxley equation. Zbl 07382912
2021
Wilson wavelets for solving nonlinear stochastic integral equations. Zbl 1412.60097
2017
An application of Wilson system in numerical solution of Fredholm integral equations. Zbl 1438.65337
Mousavi, B. Kh.; Hemmat, A. Askari; Heydari, M. H.
2017
A new optimized method for solving variable-order fractional differential equations. Zbl 1400.26014
Hassani, H.; Dahaghin, M. Sh.; Heydari, M. H.
2017
Chebyshev cardinal functions for solving age-structured population models. Zbl 1397.92557
2017
A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65351
Heydari, M. H.
2020
Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials. Zbl 07428966
Karamollahi, Nasibeh; Heydari, Mohammad; Loghmani, Ghasem Barid
2021
Numerical treatment of the space-time fractal-fractional model of nonlinear advection-diffusion-reaction equation through the Bernstein polynomials. Zbl 07468583
Heydari, M. H.; Avazzadeh, Z.; Yang, Y.
2020
The numerical treatment of nonlinear fractal-fractional 2D Emden-Fowler equation utilizing 2D Chelyshkov polynomials. Zbl 07468624
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.
2020
A new class of orthonormal basis functions: application for fractional optimal control problems. Zbl 1483.49031
Heydari, M. H.; Razzaghi, M.
2022
An improvement of adaptive cubic regularization method for unconstrained optimization problems. Zbl 07476564
Dehghan Niri, T.; Heydari, M.; Hosseini, M. M.
2021
Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative. Zbl 07503989
Heydari, M. H.
2020
A new class of orthonormal basis functions: application for fractional optimal control problems. Zbl 1483.49031
Heydari, M. H.; Razzaghi, M.
2022
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Zbl 1464.65121
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2021
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. Zbl 1464.65144
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2021
A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation. Zbl 07376640
Hosseininia, M.; Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Avazzadeh, Z.
2021
Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative. Zbl 07376723
2021
Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation. Zbl 1473.35485
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
Fibonacci polynomials for the numerical solution of variable-order space-time fractional Burgers-Huxley equation. Zbl 07382912
2021
Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials. Zbl 07428966
Karamollahi, Nasibeh; Heydari, Mohammad; Loghmani, Ghasem Barid
2021
An improvement of adaptive cubic regularization method for unconstrained optimization problems. Zbl 07476564
Dehghan Niri, T.; Heydari, M.; Hosseini, M. M.
2021
Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Zbl 1433.49045
Heydari, M. H.
2020
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z.
2020
An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274
Heydari, M. H.; Atangana, A.
2020
Jacobi-Picard iteration method for the numerical solution of nonlinear initial value problems. Zbl 1452.65121
2020
Convergence analysis of an iterative algorithm to solve system of nonlinear stochastic Itô-Volterra integral equations. Zbl 1448.60129
2020
Numerical solution of Itô-Volterra integral equation by least squares method. Zbl 1456.65005
Ahmadinia, M.; Afshari, A. H.; Heydari, M.
2020
On the inverse eigenvalue problem for periodic Jacobi matrices. Zbl 1461.65054
Heydari, M.; Fazeli, S. A. Shahzadeh; Karbassi, S. M.; Hooshmandasl, M. R.
2020
A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65351
Heydari, M. H.
2020
Numerical treatment of the space-time fractal-fractional model of nonlinear advection-diffusion-reaction equation through the Bernstein polynomials. Zbl 07468583
Heydari, M. H.; Avazzadeh, Z.; Yang, Y.
2020
The numerical treatment of nonlinear fractal-fractional 2D Emden-Fowler equation utilizing 2D Chelyshkov polynomials. Zbl 07468624
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.
2020
Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative. Zbl 07503989
Heydari, M. H.
2020
A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. Zbl 1451.49044
Heydari, M. H.
2019
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z.
2019
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2019
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R.
2019
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65103
Hosseininia, M.; Heydari, M. H.
2019
Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Itô-Volterra integral equations with $$m$$-dimensional Brownian motion. Zbl 1477.65024
Saffarzadeh, M.; Heydari, M.; Loghmani, G. B.
2019
A numerical simulation of MHD flow and radiation heat transfer of nanofluids through a porous medium with variable surface heat flux and chemical reaction. Zbl 1462.65211
2019
Nash equilibrium approximation of some class of stochastic differential games: a combined Chebyshev spectral collocation method with policy iteration. Zbl 1418.91067
2019
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65104
Hosseininia, M.; Heydari, M. H.
2019
A cost-aware efficient RAM structure based on quantum-dot cellular automata nanotechnology. Zbl 07145407
Heydari, Mohammad; Xiaohu, Zhou; Lai, Kin Keung; Afro, S.
2019
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
2018
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C.
2018
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 07265263
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z.
2018
An iterative technique for the numerical solution of nonlinear stochastic Itô-Volterra integral equations. Zbl 1380.65019
Saffarzadeh, M.; Loghmani, G. B.; Heydari, M.
2018
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.
2018
Application of shifted Jacobi pseudospectral method for solving (in)finite-horizon min-max optimal control problems with uncertainty. Zbl 1397.49035
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.
2018
An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations. Zbl 1401.65086
2018
A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation. Zbl 1380.65185
Tayebi, A.; Shekari, Y.; Heydari, M. H.
2017
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G.
2017
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H.
2017
Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation. Zbl 1359.33007
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2017
A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials. Zbl 1424.76046
Hosseini, Ehsan; Loghmani, Ghasem Barid; Heydari, Mohammad; Wazwaz, Abdul-Majid
2017
Haar wavelet method for solving nonlinear age-structured population models. Zbl 1386.35405
2017
Wilson wavelets for solving nonlinear stochastic integral equations. Zbl 1412.60097
2017
An application of Wilson system in numerical solution of Fredholm integral equations. Zbl 1438.65337
Mousavi, B. Kh.; Hemmat, A. Askari; Heydari, M. H.
2017
A new optimized method for solving variable-order fractional differential equations. Zbl 1400.26014
Hassani, H.; Dahaghin, M. Sh.; Heydari, M. H.
2017
Chebyshev cardinal functions for solving age-structured population models. Zbl 1397.92557
2017
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2016
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C.
2016
A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method. Zbl 1335.49051
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.
2016
An efficient computational method based on the hat functions for solving fractional optimal control problems. Zbl 1341.49038
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
A new wavelet method for solving the Helmholtz equation with complex solution. Zbl 1350.65125
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Marji, M. Fatehi; Dehghan, R.; Memarian, M. H.
2016
The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions. Zbl 1348.34044
2016
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2015
An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics. Zbl 1351.60088
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Maalek Ghaini, F. M.
2015
An improved piecewise variational iteration method for solving strongly nonlinear oscillators. Zbl 1319.65059
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2015
Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1298.65181
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
2014
A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Zbl 1349.65711
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2014
A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type. Zbl 1427.65287
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.
2014
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
An efficient computational method for solving fractional biharmonic equation. Zbl 1369.35106
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.
2014
Smooth solution of partial integro-differential equations using radial basis functions. Zbl 1297.35260
Avazzadeh, Z.; Heydari, M.; Chen, W.; Loghmani, G. B.
2014
Legendre wavelets method for numerical solution of time-fractional heat equation. Zbl 1369.65127
Heydari, M. H.; Maalek Ghaini, F. M.; Hooshmandasl, M. R.
2014
Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions. Zbl 1287.65113
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Fereidouni, F.
2013
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems. Zbl 1349.65710
Heydari, M.; Avazzadeh, Z.; Navabpour, H.; Loghmani, G. B.
2013
Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming
2013
Chebyshev wavelets method for solution of nonlinear fractional integrodifferential equations in a large interval. Zbl 1291.65245
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Li, Ming
2013
Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation. Zbl 1449.65141
Heydari, M.; Loghmani, G. B.; Hosseini, S. M.
2013
A good approximate solution for Liénard equation in a large interval using block pulse functions. Zbl 1312.65112
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek
2013
Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind. Zbl 1247.65159
2012
Wavelet collocation method for solving multiorder fractional differential equations. Zbl 1235.42034
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Mohammadi, F.
2012
A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions. Zbl 1228.65242
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. Zbl 1217.65236
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
On two new families of iterative methods for solving nonlinear equations with optimal order. Zbl 1299.65092
Heydari, M.; Hosseini, S. M.; Loghmani, G. B.
2011
On the diameter of the pancake network. Zbl 0888.68007
Heydari, Mohammad H.; Sudborough, I. Hal
1997
all top 5

### Cited by 633 Authors

 33 Applied Mathematics and Computation 28 Journal of Computational and Applied Mathematics 22 Applied Numerical Mathematics 21 Computational and Applied Mathematics 21 International Journal of Applied and Computational Mathematics 20 Chaos, Solitons and Fractals 16 International Journal of Computer Mathematics 14 Engineering Analysis with Boundary Elements 11 Communications in Nonlinear Science and Numerical Simulation 10 Computers & Mathematics with Applications 9 Mathematics and Computers in Simulation 9 Theoretical Computer Science 8 Mathematical Problems in Engineering 8 Advances in Difference Equations 8 Mathematical Sciences 7 AIMS Mathematics 6 Journal of Computational Physics 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 Abstract and Applied Analysis 5 Nonlinear Dynamics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 International Journal of Computational Methods 5 Mediterranean Journal of Mathematics 5 Advances in Mathematical Physics 4 Discrete Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 S$$\vec{\text{e}}$$MA Journal 4 Computational Methods for Differential Equations 3 Discrete Mathematics 3 International Journal of Control 3 Journal of the Franklin Institute 3 Physica A 3 Journal of Optimization Theory and Applications 3 Numerical Methods for Partial Differential Equations 3 Fractals 3 Advances in Computational Mathematics 3 Mathematical Modelling and Analysis 3 International Journal of Wavelets, Multiresolution and Information Processing 3 International Journal of Biomathematics 3 Journal of Mathematical Extension 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Computer Methods in Applied Mechanics and Engineering 2 Information Processing Letters 2 Mathematical Methods in the Applied Sciences 2 Acta Applicandae Mathematicae 2 Computational Mechanics 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 Linear Algebra and its Applications 2 Journal of Mathematical Chemistry 2 Journal of Vibration and Control 2 Fractional Calculus & Applied Analysis 2 Kragujevac Journal of Mathematics 2 Journal of Applied Mathematics and Computing 2 Tbilisi Mathematical Journal 2 Advances in Applied Mathematics and Mechanics 2 Afrika Matematika 2 Journal of Applied Analysis and Computation 2 Journal of Mathematics 2 Journal of Function Spaces 2 Wavelets and Linear Algebra 1 Applicable Analysis 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 International Journal of Foundations of Computer Science 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Australasian Journal of Combinatorics 1 Journal of Mathematical Imaging and Vision 1 Archives of Control Sciences 1 Applied Mathematics. Series B (English Edition) 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Filomat 1 Random Operators and Stochastic Equations 1 The Electronic Journal of Combinatorics 1 Complexity 1 Journal of Difference Equations and Applications 1 Journal of Applied Analysis 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Methodology and Computing in Applied Probability 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 ACM Journal of Experimental Algorithmics ...and 24 more Serials