Vikas Kumar Pandey

About

Dr. Vikas Kumar Pandey is a mathematician and researcher with expertise in mathematical modeling, differential equations, and neural network methods. His research focuses on developing visualization techniques and Artificial Neural Network (ANN) models for differential equations, including the heat equation, vibrating membranes, and stochastic systems driven by Brownian motion. He has designed ANN-based solutions for the rectangular vibrating membrane and the stochastic Burgers’ equation, while employing visualization to analyze resonance phenomena and solution behaviors in these systems.

Employment

• Jaypee Institute of Information Technology Research Scholar
  2019 - 2025

Education

• Jaypee Institute of Information Technology PhD Mathematics
  2019 - 2025

Projects & Funding

Projects & funding information is unavailable.

Publications (6)

• Vibration of fixed edges rectangular membrane at resonance condition
  Indian Journal of Pure and Applied Mathematics 2026 DOI: 10.1007/s13226-026-00978-8
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• Artificial neural network: a data compression model for solution to stochastic Burgers’ equation
  Computational and Applied Mathematics 2025 DOI: 10.1007/s40314-025-03347-z
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• TIME AND ERROR ANALYSIS OF NEURAL NETWORK MODEL OF RECTANGULAR VIBRATING MEMBRANE
  Stochastic Modelling and Computational Sciences 2023
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• Time and solution error analysis of neural network model of $$(2+1)$$ dimensional wave equation
  Sādhanā 2022 DOI: 10.1007/s12046-022-02052-5
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• Image Solution of Stochastic Differential Equation of Diffusion Type Driven by Brownian Motion
  Communications in Computer and Information Science 2021 DOI: 10.1007/978-981-16-1092-9_46
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• Visualization of solution of heat equation by different interpolation methods
  2020
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