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Waleed Adel, Hadi Rezazadeh, Mostafa Eslami & Mohammad Mirzazadeh. (2020) A numerical treatment of the delayed Ambartsumian equation over large interval. Journal of Interdisciplinary Mathematics 23:6, pages 1077-1091.
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Farshid Mirzaee, Shiva Naserifar & Erfan Solhi. (2024) Meshless Barycentric Rational Interpolation Method for Solving Nonlinear Stochastic Fractional Integro-Differential Equations. Iranian Journal of Science.
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Erfan Solhi, Farshid Mirzaee & Shiva Naserifar. (2023) Enhanced moving least squares method for solving the stochastic fractional Volterra integro-differential equations of Hammerstein type. Numerical Algorithms 95:4, pages 1921-1951.
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Zahra El Majouti, Elham Taghizadeh & Rachid El Jid. (2023) A Meshless Method for the Numerical Solution of Fractional Stochastic Integro-Differential Equations Based on the Moving Least Square Approach. International Journal of Applied and Computational Mathematics 9:3.
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Erfan Solhi, Farshid Mirzaee & Shiva Naserifar. (2023) Approximate solution of two dimensional linear and nonlinear stochastic Itô–Volterra integral equations via meshless scheme. Mathematics and Computers in Simulation 207, pages 369-387.
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Longbin Zhao, Qiongqi Fan & Sheng Wang. (2022) High asymptotic order methods for highly oscillatory integral equations with trigonometric kernels. Journal of Computational and Applied Mathematics 416, pages 114549.
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Z. Nikooeinejad, M. Heydari, M. Saffarzadeh, G. B. Loghmani & J. Engwerda. (2021) Numerical Simulation of Non-cooperative and Cooperative Equilibrium Solutions for a Stochastic Government Debt Stabilization Game. Computational Economics 59:2, pages 775-801.
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Farshid Mirzaee, Erfan Solhi & Shiva Naserifar. (2021) Approximate solution of stochastic Volterra integro-differential equations by using moving least squares scheme and spectral collocation method. Applied Mathematics and Computation 410, pages 126447.
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Cédric Chauvière & Hacène Djellout. (2021) An efficient spectral method for the numerical solution to some classes of stochastic differential equations. Mathematical Methods in the Applied Sciences 44:7, pages 5888-5907.
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Farshid Mirzaee, Erfan Solhi & Nasrin Samadyar. (2021) Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations. Applied Numerical Mathematics 161, pages 275-285.
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Farshid Mirzaee & Nasrin Samadyar. (2020)
Implicit meshless method to solve
2D
fractional stochastic Tricomi‐type equation defined on irregular domain occurring in fractal transonic flow
. Numerical Methods for Partial Differential Equations 37:2, pages 1781-1799.
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Nasrin Samadyar, Yadollah Ordokhani & Farshid Mirzaee. (2020) Hybrid Taylor and block-pulse functions operational matrix algorithm and its application to obtain the approximate solution of stochastic evolution equation driven by fractional Brownian motion. Communications in Nonlinear Science and Numerical Simulation 90, pages 105346.
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Nasrin Samadyar & Farshid Mirzaee. (2020) Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach. Journal of Computational and Applied Mathematics 377, pages 112875.
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Farshid Mirzaee & Nasrin Samadyar. (2020) Numerical solution of two dimensional stochastic Volterra–Fredholm integral equations via operational matrix method based on hat functions. SeMA Journal 77:3, pages 227-241.
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S. Saha Ray & S. Behera. (2020) Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations. Journal of Computational and Applied Mathematics 366, pages 112411.
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Farshid Mirzaee & Nasrin Samadyar. (2019) Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra–Fredholm–Hammerstein integral equations. SeMA Journal 77:1, pages 81-96.
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Nasrin Samadyar & Farshid Mirzaee. (2019) Orthonormal Bernoulli polynomials collocation approach for solving stochastic Itô‐Volterra integral equations of Abel type. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 33:1.
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M. Saffarzadeh, M. Heydari & G.B. Loghmani. (2019) Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Itô-Volterra integral equations with m-dimensional Brownian motion. Applied Numerical Mathematics 146, pages 182-198.
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Farshid Mirzaee & Nasrin Samadyar. (2019) Numerical Solution of Time Fractional Stochastic Korteweg–de Vries Equation via Implicit Meshless Approach. Iranian Journal of Science and Technology, Transactions A: Science 43:6, pages 2905-2912.
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Mithilesh Singh, Shivani Singhal & Nidhi Handa. (2019) Exact and Numerical Solution of Abel Integral Equations by Orthonormal Bernoulli Polynomials. International Journal of Applied and Computational Mathematics 5:6.
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Nasrin Samadyar & Farshid Mirzaee. (2019) Numerical scheme for solving singular fractional partial integro‐differential equation via orthonormal Bernoulli polynomials. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 32:6.
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Farshid Mirzaee & Nasrin Samadyar. (2019) Application of Bernoulli wavelet method for estimating a solution of linear stochastic Itô-Volterra integral equations. Multidiscipline Modeling in Materials and Structures 15:3, pages 575-598.
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Nasrin Samadyar & Farshid Mirzaee. (2019) Numerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via radial basis functions. Engineering Analysis with Boundary Elements 101, pages 27-36.
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Farshid Mirzaee & Nasrin Samadyar. (2019) On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions. Engineering Analysis with Boundary Elements 100, pages 246-255.
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Farshid Mirzaee & Nasrin Samadyar. (2018) Application of hat basis functions for solving two-dimensional stochastic fractional integral equations. Computational and Applied Mathematics 37:4, pages 4899-4916.
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Farshid Mirzaee & Nasrin Samadyar. (2018) On the numerical solution of stochastic quadratic integral equations via operational matrix method. Mathematical Methods in the Applied Sciences 41:12, pages 4465-4479.
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Farshid Mirzaee & Nasrin Samadyar. (2018) Using radial basis functions to solve two dimensional linear stochastic integral equations on non-rectangular domains. Engineering Analysis with Boundary Elements 92, pages 180-195.
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Farshid Mirzaee & Nasrin Samadyar. (2017) Numerical solution of nonlinear stochastic Itô‐Volterra integral equations driven by fractional Brownian motion. Mathematical Methods in the Applied Sciences 41:4, pages 1410-1423.
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Farshid Mirzaee & Nasrin Samadyar. (2018) Parameters estimation of HIV infection model of CD4+T-cells by applying orthonormal Bernstein collocation method. International Journal of Biomathematics 11:02, pages 1850020.
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