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most citedChatGPT and a New Academic Reality: Artificial Intelligence-Written Research Papers and the Ethics of the Large Language Models in Scholarly Publishing

831 citations

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math.NA2016

A New Approximate Solution of Time-Fractional, Non-linear Schrodinger Equations Using Fractional Reduced Differential Transformation

Brajesh Kumar Singh, Pramod Kumar

This paper is concerned with an alternative analytical solution of time-fractional nonlinear Schrodinger equation and nonlinear coupled Schrodinger equation obtained by employing f…

math.NA2016★ 26 cited

Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay

Brajesh Kumar Singh, Pramod Kumar

This paper deals the implementation of \emph{homotopy perturbation transform method} (HPTM) for numerical computation of initial valued autonomous system of time-fractional partial…

math.NA2016

A new numerical algorithm for the solutions of hyperbolic partial differential equations in -dimensional space

Brajesh Kumar Singh

This paper deals with a construction of new algorithm: the modified trigonometric cubic B-Spline differential quadrature (MTB-DQM) for space discretization together with a time int…