Best Researcher Award
Nasrin Samadyar – Kermanshah University of Technology, Iran
Nasrin Samadyar is a researcher affiliated with Kermanshah University of Technology, Iran, and her publications address numerical algorithms for differential and integral equations, combining approximation theory, meshfree techniques, and computational analysis to investigate problems arising across applied mathematics and engineering.
Abstract
Nasrin Samadyar’s research examines numerical methods for stochastic, fractional, and nonlinear differential and integral equations. Her published work explores radial basis functions, meshfree approximation, finite difference schemes, operational matrices, and orthogonal polynomial techniques. These approaches convert complex mathematical models into tractable algebraic systems and support computational investigation of solutions, stability, convergence, and error behavior. Applications include stochastic advection–diffusion processes, Fredholm integral equations, and time-fractional wave models. Her publication record reflects sustained engagement with computational mathematics and numerical analysis, particularly methods designed for multidimensional problems, irregular domains, and models involving uncertainty or fractional-order dynamics in applied scientific settings and reproducibility assessment. [1]
Keywords
Numerical Analysis, Fractional Differential Equations, Stochastic Differential Equations, Meshfree Methods, Radial Basis Functions, Finite Difference Methods, Stochastic Integral Equations, Fredholm Integral Equations, Orthogonal Polynomials, Computational Mathematics, Fractional Stochastic Advection–Diffusion, Sine–Gordon Equations, Operational Matrices, Numerical Approximation, Mathematical Modelling. [4]
Introduction
Nasrin Samadyar’s publications contribute to computational approaches for mathematical problems that are challenging analytically. Her research addresses fractional differential equations, stochastic integral equations, and nonlinear models through numerical approximation. The work combines formulation with implementation, emphasizing accuracy, convergence, and treatment of domains in applied mathematics and engineering research and related disciplines scholarship. [2]
Research Profile
Nasrin Samadyar is affiliated with Kermanshah University of Technology in Iran and is identified in databases through Scopus and ORCID records. Her research areas include numerical analysis, applied mathematics, stochastic processes, and computational modelling. Publication topics feature fractional equations, meshfree methods, radial basis functions, and polynomial-based numerical techniques across journals. [1]
Research Contributions
Nasrin Samadyar’s research contributions include numerical schemes for fractional stochastic advection–diffusion equations, stochastic Fredholm integral equations, and time-fractional Sine–Gordon models. Her co-authored studies combine finite difference discretization with radial basis function approximations, while other work develops operational matrices and orthogonal polynomial methods for integral and integro-differential equations and convergence analysis.
Publications
Nasrin Samadyar’s publication record includes studies on stochastic integral equations, fractional differential models, and meshfree computational methods. Representative articles examine two-dimensional Fredholm equations, fractional stochastic advection–diffusion, and Sine–Gordon equations. The publications demonstrate recurring use of radial basis functions, finite difference schemes, and polynomial approximation in numerical analysis across several years. [3] [4] [5]
Research Impact
Nasrin Samadyar’s research supports computational mathematics by presenting numerical strategies for equations with stochastic, fractional, or multidimensional characteristics. The cited literature situates this work within numerical analysis and mathematical modelling. Potential scientific and engineering applications include transport phenomena, wave propagation, and other complex systems represented through differential or integral equations. [4]
Award Suitability
Nasrin Samadyar’s research output aligns with recognition in numerical analysis through its focus on computational methods for fractional and stochastic equations. Publication themes demonstrate methodological contributions, collaborative scholarship, and applications to mathematical modelling. A balanced award assessment should carefully consider verified publications, citation indicators, research quality, and documented originality and influence where appropriate. [1]
Conclusion
Nasrin Samadyar’s profile reflects continuing work in numerical analysis, stochastic modelling, and computational methods for fractional equations. Her publications describe approaches combining approximation techniques with numerical discretization to study challenging mathematical systems. The profile provides a basis for evaluating contributions through independently verifiable scholarly records and supporting evidence for reviewers.[3] [4]
External Links
References
- Elsevier. (n.d.). Scopus author details: Nasrin Samadyar, Author ID 57190257270. Scopus.https://www.scopus.com/authid/detail.uri?authorId=57190257270
- ORCID. (n.d.). Nasrin Samadyar: ORCID researcher record.https://orcid.org/0000-0001-8556-8508
- Samadyar, N., & Mirzaee, F. (2020). Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach. Journal of Computational and Applied Mathematics, 377, 112875.https://doi.org/10.1016/j.cam.2020.112875
- Mirzaee, F., & Samadyar, N. (2020). Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations. Engineering with Computers, 36, 1673–1686.https://doi.org/10.1007/s00366-019-00789-y
- Mirzaee, F., Rezaei, S., & Samadyar, N. (2021). Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods. Engineering Analysis with Boundary Elements, 127, 53–63.https://doi.org/10.1016/j.enganabound.2021.03.009