A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. - Ali H. Bhrawy; Emran Tohidi; Fazlollah Soleymani (Appl. Math. Comput., 2012)

An optimized derivative-free form of the Potra-Pták method. - Fazlollah Soleymani; Rajni Sharma; Xiaowu Li; Emran Tohidi (Math. Comput. Model., 2012)

A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis. - Faezeh Toutounian; Emran Tohidi (Appl. Math. Comput., 2013)

Optimal control of nonlinear Volterra integral equations via Legendre polynomials. - Emran Tohidi; O. R. N. Samadi (IMA J. Math. Control. Inf., 2013)

A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation. - Emran Tohidi; Khalil Erfani; Mortaza Gachpazan; Stanford Shateyi (J. Appl. Math., 2013)

Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order. - Emran Tohidi; Faezeh Toutounian (Comput. Math. Appl., 2014)

Some Matrix Iterations for Computing Matrix Sign Function. - Fazlollah Soleymani; Emran Tohidi; Stanford Shateyi; F. Khaksar Haghani (J. Appl. Math., 2014)

Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: Application to PDEs and ODEs. - Fayyaz Ahmad; Emran Tohidi; Malik Zaka Ullah; Juan A. Carrasco (Comput. Math. Appl., 2015)

A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions. - Bashar Zogheib; Emran Tohidi (Appl. Math. Comput., 2016)

A parameterized multi-step Newton method for solving systems of nonlinear equations. - Fayyaz Ahmad; Emran Tohidi; Juan A. Carrasco (Numer. Algorithms, 2016)

Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices. - Somveer Singh; Vijay Kumar Patel; Vineet Kumar Singh; Emran Tohidi (Appl. Math. Comput., 2017)

Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions. - Somveer Singh; Vijay Kumar Patel; Vineet Kumar Singh; Emran Tohidi (Comput. Math. Appl., 2018)

Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations. - Bashar Zogheib; Emran Tohidi (Comput. Math. Appl., 2018)

A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula. - Grzegorz Rzadkowski; Emran Tohidi (J. Comput. Appl. Math., 2018)

LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. - Zahra Asgari; Faezeh Toutounian; Esmail Babolian; Emran Tohidi (Comput. Appl. Math., 2019)

Numerical solution of multi-Pantograph delay boundary value problems via an efficient approach with the convergence analysis. - Yin Yang 003; Emran Tohidi (Comput. Appl. Math., 2019)

A fast and efficient numerical approach for solving advection-diffusion equations by using hybrid functions. - Mohsen Hadadian Nejad Yousefi; Seyed Hossein Ghoreishi Najafabadi; Emran Tohidi (Comput. Appl. Math., 2019)

Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems. - Soleiman Hosseinpour; Alireza Nazemi; Emran Tohidi (J. Comput. Appl. Math., 2019)

Space-Time Spectral Collocation Method for Solving Burgers Equations with the Convergence Analysis. - Yu Huang; Mohammad Hadi Noori Skandari; Fatemeh Mohammadizadeh; Hojjat Ahsani Tehrani; Svetlin Georgiev Georgiev; Emran Tohidi; Stanford Shateyi (Symmetry, 2019)

Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. - Yin Yang 003; Jindi Wang; Shangyou Zhang; Emran Tohidi (Appl. Math. Comput., 2020)

Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels. - Zhuyan Tang; Emran Tohidi; Fuli He (Comput. Appl. Math., 2020)

An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. - Zahra Asgari; Faezeh Toutounian; Esmail Babolian; Emran Tohidi (Comput. Math. Appl., 2020)

A class of multiplicative splitting iterations for solving the continuous Sylvester equation. - Yu Huang; Mohammad Khorsand Zak; Emran Tohidi (CoRR, 2020)

A radial basis function - Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options. - Yin Yang 003; Fazlollah Soleymani; Mahdiar Barfeie; Emran Tohidi (J. Comput. Appl. Math., 2020)

Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels. - Yin Yang 003; Emran Tohidi; Xiaohua Ma; Sujuan Kang (J. Comput. Appl. Math., 2020)

A new WENO based Chebyshev Spectral Volume method for solving one- and two-dimensional conservation laws. - Mohsen Hadadian Nejad Yousefi; Seyed Hossein Ghoreishi Najafabadi; Emran Tohidi (J. Comput. Phys., 2020)

High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels. - Guoting Deng; Yin Yang 003; Emran Tohidi (Appl. Math. Comput., 2021)

High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations. - Yin Yang 003; Guoting Deng; Emran Tohidi (Comput. Appl. Math., 2021)

A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems. - Minqiang Xu; Emran Tohidi (J. Appl. Math. Comput., 2021)

A new reproducing kernel-based collocation method with optimal convergence rate for some classes of BVPs. - Minqiang Xu; Emran Tohidi; Jing Niu; Yuzhi Fang (Appl. Math. Comput., 2022)

An efficient method based on least-squares technique for interface problems. - Minqiang Xu; Lufang Zhang; Emran Tohidi (Appl. Math. Lett., 2023)

A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations. - Yin Yang 003; Emran Tohidi; Guoting Deng (J. Comput. Appl. Math., 2023)

A new well-balanced spectral volume method for solving shallow water equations over variable bed topography with wetting and drying. - Mohsen Hadadian Nejad Yousefi; Seyed Hossein Ghoreishi Najafabadi; Emran Tohidi (Eng. Comput., 2023)

Long time H1-norm stability and suboptimal convergence of a fully discrete L2-version compact difference method on nonuniform mesh grids to solve fourth-order subdiffusion equations. - Huifa Jiang; Emran Tohidi (Appl. Math. Comput., 2025)

Convergence analysis of an efficient multistep pseudo-spectral continuous Galerkin approach for solving Volterra integro-differential equations. - Yin Yang 003; Pai Yao; Emran Tohidi (Appl. Math. Comput., 2025)

Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method. - Yin Yang 003; Sayyed Ehsan Monabbati; Emran Tohidi; Atena Pasban (Comput. Math. Appl., 2025)

A spectral collocation scheme for solving nonlinear delay distributed-order fractional equations. - Yu Huang; Narges Tohidi Rad; Mohammad Hadi Noori Skandari; Emran Tohidi (J. Comput. Appl. Math., 2025)

A high accurate numerical framework for the solution of the vanishing-delay Volterra integro-differential equations via Legendre pseudo-spectral element approach. - Yin Yang 003; Pai Yao; Emran Tohidi (Math. Comput. Simul., 2026)