TAPAS ROY

About

Tapas Roy is a research scholar in the field of Computational and Applied Mathematics at Vidyasagar University, Midnapore, West Bengal, India. He received his bachelor's degree in Mathematics from the University of Burdwan and his master's degree in Mathematics from Bankura University. His research focuses on the development and application of semi-analytical methods, including the Homotopy Perturbation Method, Homotopy Analysis Method, and Variational Iteration Method, for solving highly nonlinear differential equations. His work also includes the direct analytical solution of the incompressible Navier–Stokes equations in fluid mechanics without employing any simplifying assumptions or reduction.

Employment

• Vidyasagar University Senior Research Scholar
  2021 - Present

Education

• Vidyasagar University Ph.D
  2021 - Present
• Bankura University M.Sc
  2018 - 2020

Projects & Funding

Projects & funding information is unavailable.

Publications (11)

• Refined Optimal and Modified-Homotopy Perturbation Method for Direct Solution of Incompressible Navier-Stokes Equations with Pressure Correction
  Nonlinear Dynamics 2026 DOI: 10.21203/rs.3.rs-10656307/v1
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• Single/multi step optimal and modified homotopy perturbation method for strongly non-linear fractional initial value problems: Global series solution
  Journal of Computational Science 2026 DOI: 10.1016/j.jocs.2026.102786
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• Advances in Overcoming Methodological Limitations of HAM and HPM: OM-HPM
  2025 DOI: 10.21203/rs.3.rs-8222560/v1
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• Refined variational iteration method through optimal linear operator and Lagrange multiplier: Local/global convergence
  Applied Numerical Mathematics 2025 DOI: 10.1016/j.apnum.2025.01.013
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• Pendulum attached to a vibrating point: Semi-analytical solution by optimal and modified homotopy perturbation method
  Alexandria Engineering Journal 2025 DOI: 10.1016/j.aej.2024.10.086
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• ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL
  Journal of Mechanics of Continua and Mathematical Sciences 2025 DOI: 10.26782/jmcms.2025.06.00013
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• Time Dependent Harmonic Oscillator via OM-HPM
  Journal of Computational Applied Mechanics 2025 DOI: 10.22059/jcamech.2024.386177.1304
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• General approach on the best fitted linear operator and basis function for homotopy methods and application to strongly nonlinear oscillators
  Mathematics and Computers in Simulation 2024 DOI: 10.1016/j.matcom.2024.01.004
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• Nonlinear oscillators dynamics using optimal and modified homotopy perturbation method
  Journal of Low Frequency Noise Vibration and Active Control 2024 DOI: 10.1177/14613484241272253
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• An optimal and modified homotopy perturbation method for strongly nonlinear differential equations
  Nonlinear Dynamics 2023 DOI: 10.1007/s11071-023-08662-w
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