Year : 2025
Stochastic Stability Analysis and Numerical Simulation of the Stochastic FitzHugh–Nagumo Equation Based on Physics Informed Neural Networks
Cite this Research Publication : Soumyendra Singh, Suman Sarkar, Stochastic Stability Analysis and Numerical Simulation of the Stochastic FitzHugh–Nagumo Equation Based on Physics Informed Neural Networks, International Journal of Applied and Computational Mathematics, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s40819-025-01915-9
Publisher : Springer Science and Business Media LLC
Year : 2023
An Exponential Linear Unit Based Neural Network Approach For Optimizing Numerical Solutions of Stochastic Integral Equation
Cite this Research Publication : Soumyendra Singh, An Exponential Linear Unit Based Neural Network Approach For Optimizing Numerical Solutions of Stochastic Integral Equation, J. Integral Equations Applications, 2023.
Year : 2023
A numerical simulation of non-linear stochastic Itô-Volterra integral equations driven by multi- fractional Gaussian noise
Cite this Research Publication : S. Singh, D Chaudhary, M K Gola, Muskan, Priyadharshini A R and Krithika S, "A numerical simulation of non-linear stochastic Itô-Volterra integral equations driven by multi- fractional Gaussian noise”, Materials Today: Proceedings, In press, 2023.
Year : 2023
Bernstein polynomial approximation of non-linear stochastic Itô-Volterra integral equations driven by multi-fractional Gaussian noise
Cite this Research Publication : S. Singh, D Chaudhary, M K Gola, Priyadharshini A R and Krithika S "A Bernstein polynomial approximation of non-linear stochastic Itô-Volterra integral equations driven by multi-fractional Gaussian noise", Materials Today: Proceedings, In press, 2023
Year : 2022
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models
Cite this Research Publication : S. Singh, S. Saha Ray "Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models", International Journal of Biomathematics, 15(05), 2250027, 2022
Year : 2020
New stochastic operational matrix method for solving stochastic Itô–Volterra integral equations characterized by fractional Brownian motion
Cite this Research Publication : S. Saha Ray, S. Singh, New stochastic operational matrix method for solving stochastic Itô–Volterra integral equations characterized by fractional Brownian motion, Stochastic Analysis and Applications, Informa UK Limited, 2020, https://doi.org/10.1080/07362994.2020.1794892
Publisher : Informa UK Limited
Year : 2020
Numerical solution of nonlinear stochastic Itô – Volterra integral equation driven by fractional Brownian motion
Cite this Research Publication : S. Saha Ray, Soumyendra Singh, Numerical solution of nonlinear stochastic Itô – Volterra integral equation driven by fractional Brownian motion, Engineering Computations, 2020
Year : 2020
New Stochastic Operational Matrix Method based on Chebyshev Wavelets for Solution of Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion
Cite this Research Publication : S. Saha Ray, S. Singh, “New Stochastic Operational Matrix Method based on Chebyshev Wavelets for Solution of Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion”, Stochastic Analysis and Applications, 2020, 39(2), pp. 224–234.
Publisher : Stochastic Analysis and Applications
Year : 2020
New Stochastic Operational Matrix Method based on Bernstein polynomials for Solution of Non-Linear Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion
Cite this Research Publication : S. Saha Ray, S. Singh, “New Stochastic Operational Matrix Method based on Bernstein polynomials for Solution of Non-Linear Stochastic Itô-Volterra Integral Equations Driven by Fractional Brownian Motion”, Engineering Computations, 37(9), pp. 3243–3268
Publisher : Engineering Computations
Year : 2020
A Stochastic Operational Matrix Method for Numerical Solutionsof mixed Stochastic Volterra–Fredholm Integral Equations
Cite this Research Publication : S. Singh, S. Saha Ray,” A Stochastic Operational Matrix Method for Numerical Solutionsof mixed Stochastic Volterra–Fredholm Integral Equations”, International Journal of Wavelets, Multiresolution and Information Processing, 18(02), 2050005. (2020)
DOI: doi.org/10.1142/S0219691320500058
Publisher : International Journal of Wavelets, Multiresolution and Information Processing
Year : 2019
A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra–Fredholm integral equations
Cite this Research Publication : S. Singh, S. Saha Ray, A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra–Fredholm integral equations, International Journal of Wavelets, Multiresolution and Information Processing, World Scientific Pub Co Pte Lt, 2019, https://doi.org/10.1142/s0219691320500058
Publisher : World Scientific Pub Co Pte Lt
Year : 2019
Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô –Volterra integral equations
Cite this Research Publication : S. Singh, S. Saha Ray, “Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô –Volterra integral equations”, International Journal of Wavelets, Multiresolution and Information Processing, 17(1), 195007, 16 pages (2019)
Publisher : International Journal of Wavelets, Multiresolution and Information Processing
Year : 2019
New Exact Solutions for the Wick-type Stochastic Nonlinear Schrödinger Equation in Nonlinear Optics
Cite this Research Publication : S. Singh, S. Saha Ray, “New Exact Solutions for the Wick-type Stochastic Nonlinear Schrödinger Equation in Nonlinear Optics”, Modern Physics Letters B, 33(9), 1950109, 10 pages. (2019)
Publisher : Modern Physics Letters B
Year : 2019
Higher order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics
Cite this Research Publication : S. Singh, S. Saha Ray, “Higher order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics”, Nuclear Science and Techniques, 30(49), 13 pages.
Publisher : Nuclear Science and Techniques
Year : 2018
Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions
Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions”, International Journal of Nonlinear Sciences and Numerical Simulation, 19(3-4), pp. 289-297. (2018)
Publisher : International Journal of Nonlinear Sciences and Numerical Simulation
Year : 2017
New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing wave propagation in nonlinear dispersive systems
Cite this Research Publication : S. Saha Ray, S. Singh, New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing wave propagation in nonlinear dispersive systems, Chinese Journal of Physics, Elsevier BV, 2017, https://doi.org/10.1016/j.cjph.2017.04.017
Publisher : Elsevier BV
Year : 2017
On the comparison of two split-step methods for the numerical simulation of stochastic point kinetics equations in presence of Newtonian temperature feedback effects
Cite this Research Publication : S. Singh, S. Saha Ray, “On the comparison of two split-step methods for the numerical simulation of stochastic point kinetics equations in presence of Newtonian temperature feedback effects”, Annals of Nuclear Energy, 110 (2017), pp. 865–873. (2017)
Publisher : Annals of Nuclear Energy
Year : 2017
Exact solutions for the Wick-type stochastic Kersten- Krasil’shchik coupled KdV-mKdV equations
Cite this Research Publication : S. Singh, S. Saha Ray, “Exact solutions for the Wick-type stochastic Kersten- Krasil'shchik coupled KdV-mKdV equations”, The European Physical Journal Plus, 132(480), 12 pages. (2017)
Publisher : The European Physical Journal Plus
Year : 2017
Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects
Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects”, Journal of Computational and Theoretical Transport, 48(2), pp. 47-57. (2017)
Publisher : Journal of Computational and Theoretical Transport
Year : 2017
Numerical solutions of stochastic Fisher Equation to study migration and population behavior in biological invasion
Cite this Research Publication : S. Singh, S. Saha Ray, “Numerical solutions of stochastic Fisher Equation to study migration and population behavior in biological invasion”, International Journal of Biomathematics, 10(7), 14 pages. (2017)
Publisher : International Journal of Biomathematics
Year : 2017
New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing waves propagation in nonlinear dispersive systems
Cite this Research Publication : S. Saha Ray, S. Singh, “New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing waves propagation in nonlinear dispersive systems”, Chinese Journal of Physics, 55(4), pp. 1653-1662. (2017)
Publisher : Chinese Journal of Physics
Year : 2017
New exact solutions for the Wick-type stochastic Kudryashov-Sinelshchikov equation
Cite this Research Publication : S. Saha Ray, S. Singh, “New exact solutions for the Wick-type stochastic Kudryashov-Sinelshchikov equation”, Communications in Theoretical Physics, 67(2), pp. 197-206. (2017)
Publisher : Communications in Theoretical Physics
Year : 2017
New Exact Solutions for the Wick-type Stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces
Cite this Research Publication : S. Saha Ray, S. Singh, “New Exact Solutions for the Wick-type Stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces”, Random Operators and Stochastic Equations, 25(3), pp. 107-116. (2017)
Publisher : Random Operators and Stochastic Equations