Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions. - Zakieh Avazzadeh; Mohammad Hossein Heydari; Wen Chen; Ghasem Barid Loghmani (J. Appl. Math., 2014)

Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. - Mohammad Hossein Heydari; Mohammad Reza Mahmoudi; Ali Shakiba; Zakieh Avazzadeh (Commun. Nonlinear Sci. Numer. Simul., 2018)

On the asymptotic distribution for the periodograms of almost periodically correlated (cyclostationary) processes. - Mohammad Reza Mahmoudi; Mohammad Hossein Heydari; Zakieh Avazzadeh (Digit. Signal Process., 2018)

Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. - Hossein Hassani 005; Zakieh Avazzadeh (Appl. Math. Comput., 2019)

A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. - Mohammad Hossein Heydari; Zakieh Avazzadeh; Malih Farzi Haromi (Appl. Math. Comput., 2019)

A computational method for solving variable-order fractional nonlinear diffusion-wave equation. - Mohammad Hossein Heydari; Zakieh Avazzadeh; Yin Yang 003 (Appl. Math. Comput., 2019)

A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. - M. Hosseininia; Mohammad Hossein Heydari; Farid Mohammad Maalek Ghaini; Zakieh Avazzadeh (Comput. Math. Appl., 2019)

A wavelet approach for the multi-term time fractional diffusion-wave equation. - F. Soltani Sarvestani; Mohammad Hossein Heydari; A. Niknam; Zakieh Avazzadeh (Int. J. Comput. Math., 2019)

A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. - M. Hosseininia; Mohammad Hossein Heydari; Reza Roohi; Zakieh Avazzadeh (J. Comput. Phys., 2019)

A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. - Mohammad Hossein Heydari; Zakieh Avazzadeh; Yin Yang 003; Carlo Cattani (Comput. Appl. Math., 2020)

Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE. - Hossein Hassani 005; J. A. Tenreiro Machado; Zakieh Avazzadeh; Eskandar Naraghirad (Commun. Nonlinear Sci. Numer. Simul., 2020)

Goodness of fit test for almost cyclostationary processes. - Mohammad Reza Mahmoudi; Mohammad Hossein Heydari; Zakieh Avazzadeh; Kim-Hung Pho (Digit. Signal Process., 2020)

Numerical approach for solving variable-order space-time fractional telegraph equation using transcendental Bernstein series. - Hossein Hassani 005; Zakieh Avazzadeh; J. A. Tenreiro Machado (Eng. Comput., 2020)

Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems. - Hossein Hassani 005; J. A. Tenreiro Machado; Zakieh Avazzadeh; Eskandar Naraghirad; Mohammad Shafie Dahaghin (J. Sci. Comput., 2020)

Error Estimation of the Homotopy Perturbation Method to Solve Second Kind Volterra Integral Equations with Piecewise Smooth Kernels: Application of the CADNA Library. - Samad Noeiaghdam; Aliona Dreglea; Ji-Huan He; Zakieh Avazzadeh; Muhammad Suleman; Mohammad Ali Fariborzi Araghi; Denis N. Sidorov; Nikolai A. Sidorov (Symmetry, 2020)

A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics. - Omid Nikan; Zakieh Avazzadeh (Appl. Math. Comput., 2021)

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2021)

New formulation of the orthonormal Bernoulli polynomials for solving the variable-order time fractional coupled Boussinesq-Burger's equations. - Mohammad Hossein Heydari; Zakieh Avazzadeh (Eng. Comput., 2021)

Chebyshev polynomials for the numerical solution of fractal-fractional model of nonlinear Ginzburg-Landau equation. - Mohammad Hossein Heydari; Abdon Atangana; Zakieh Avazzadeh (Eng. Comput., 2021)

An efficient wavelet-based approximation method for the coupled nonlinear fractal-fractional 2D Schrödinger equations. - Mohammad Hossein Heydari; M. Hosseininia; Zakieh Avazzadeh (Eng. Comput., 2021)

Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets. - M. Hosseininia; Mohammad Hossein Heydari; Zakieh Avazzadeh (Eng. Comput., 2021)

Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. - Omid Nikan; Zakieh Avazzadeh (J. Comput. Appl. Math., 2021)

Numerical study of the nonlinear anomalous reaction-subdiffusion process arising in the electroanalytical chemistry. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado (J. Comput. Sci., 2021)

Dynamics and bifurcations of a discrete time neural network with self connection. - Zohreh Eskandari; Javad Alidousti; Zakieh Avazzadeh; Reza Khoshsiar Ghaziani (Eur. J. Control, 2022)

Numerical study of non-singular variable-order time fractional coupled Burgers' equations by using the Hahn polynomials. - Mohammad Hossein Heydari; Zakieh Avazzadeh (Eng. Comput., 2022)

Chebyshev-Gauss-Lobatto collocation method for variable-order time fractional generalized Hirota-Satsuma coupled KdV system. - Mohammad Hossein Heydari; Zakieh Avazzadeh (Eng. Comput., 2022)

A hybrid method for variable-order fractional 2D optimal control problems on an unbounded domain. - Mohammad Hossein Heydari; Zakieh Avazzadeh (Eng. Comput., 2022)

Orthonormal Bernoulli polynomials for space-time fractal-fractional modified Benjamin-Bona-Mahony type equations. - Mohammad Hossein Heydari; Mohsen Razzaghi; Zakieh Avazzadeh (Eng. Comput., 2022)

Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response. - Parvaiz Ahmad Naik; Zohreh Eskandari; Zakieh Avazzadeh; Jian Zu (Int. J. Bifurc. Chaos, 2022)

Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method. - Arezou Rezazadeh 002; Zakieh Avazzadeh (Int. J. Comput. Math., 2022)

Optimal Solution of a Fractional HIV/AIDS Epidemic Mathematical Model. - Hossein Hassani 005; Zakieh Avazzadeh; J. A. Tenreiro Machado; Praveen Agarwal; Maryam Bakhtiar (J. Comput. Biol., 2022)

A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics. - Omid Nikan; Zakieh Avazzadeh (Math. Comput. Simul., 2022)

Reconstructing the Unknown Source Function of a Fractional Parabolic Equation from the Final Data with the Conformable Derivative. - Omid Nikan; Ho Duy Binh; Zakieh Avazzadeh; Le Dinh Long (Symmetry, 2022)

Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems. - Tao Guo; Omid Nikan; Zakieh Avazzadeh; Wenlin Qiu (Comput. Appl. Math., 2022)

Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. - Man Luo 004; Wenlin Qiu; Omid Nikan; Zakieh Avazzadeh (Appl. Math. Comput., 2023)

An accurate localized meshfree collocation technique for the telegraph equation in propagation of electrical signals. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado; Mohammad Navaz Rasoulizadeh (Eng. Comput., 2023)

Two-grid finite difference method for 1D fourth-order Sobolev-type equation with Burgers' type nonlinearity. - Hao Chen; Omid Nikan; Wenlin Qiu; Zakieh Avazzadeh (Math. Comput. Simul., 2023)

Solving Fractional Order Differential Equations by Using Fractional Radial Basis Function Neural Network. - Rana Javadi; Hamid Mesgarani; Omid Nikan; Zakieh Avazzadeh (Symmetry, 2023)

Strong resonance bifurcations for a discrete-time prey-predator model. - Bo Li 124; Zohreh Eskandari; Zakieh Avazzadeh (J. Appl. Math. Comput., 2023)

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. - Zakieh Avazzadeh; Hossein Hassani 005; Praveen Agarwal; S. Mehrabi; Mohammad Javad Ebadi; Mohammad Shafie Dahaghin (Soft Comput., 2023)

Optimal solution of a general class of nonlinear system of fractional partial differential equations using hybrid functions. - Hossein Hassani 005; J. A. Tenreiro Machado; Eskandar Naraghirad; Zakieh Avazzadeh (Eng. Comput., 2023)

Solitary Wave Propagation of the Generalized Rosenau-Kawahara-RLW Equation in Shallow Water Theory with Surface Tension. - Akeel A. Al-saedi; Omid Nikan; Zakieh Avazzadeh; António M. Lopes 001 (Symmetry, 2023)

An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs. - Zakieh Avazzadeh; Hossein Hassani 005; Mohammad Javad Ebadi; Ali Bayati Eshkaftaki; Ahmed S. Hendy (Int. J. Comput. Math., 2024)

Generalized Bernoulli-Laguerre Polynomials: Applications in Coupled Nonlinear System of Variable-Order Fractional PDEs. - Hossein Hassani 005; Zakieh Avazzadeh; Praveen Agarwal; Mohammad Javad Ebadi; Ali Bayati Eshkaftaki (J. Optim. Theory Appl., 2024)

Implementation of an Optimization Algorithm for a New General Class of Two-Dimensional Fractional PDEs. - Zakieh Avazzadeh; Hossein Hassani 005; Mohammad Javad Ebadi; Ali Bayati Eshkaftaki; Ahmed S. Hendy (J. Optim. Theory Appl., 2025)