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Abhishek Kumar Singh
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Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations
AK Singh, M Mehra
Journal of Computational science 51, 101342, 2021
412021
Analysis of mixed convection in water boundary layer flows over a moving vertical plate with variable viscosity and Prandtl number
AK Singh, AK Singh, S Roy
International Journal of Numerical Methods for Heat & Fluid Flow 29 (2), 602-616, 2019
222019
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India
AK Singh, M Mehra, S Gulyani
Mathematical Methods in the Applied Sciences 46 (7), 8208-8222, 2023
192023
Uncertainty quantification in fractional stochastic integro-differential equations using Legendre wavelet collocation method
AK Singh, M Mehra
Computational Science–ICCS 2020: 20th International Conference, Amsterdam …, 2020
172020
Learning parameters of a system of variable order fractional differential equations
AK Singh, M Mehra, S Gulyani
Numerical Methods for Partial Differential Equations 39 (3), 1962-1976, 2023
142023
Numerical solution of variable‐order stochastic fractional integro‐differential equation with a collocation method based on Müntz–Legendre polynomial
A Kumar Singh, M Mehra, V Mehandiratta
Mathematical Methods in the Applied Sciences 45 (13), 8125-8141, 2022
32022
Difference methods for stochastic space fractional diffusion equation driven by additive space–time white noise via Wong–Zakai approximation
AK Singh, M Mehra
Journal of Mathematical Chemistry 61 (1), 47-74, 2023
22023
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations
AK Singh, M Mehra, AA Alikhanov
arXiv preprint arXiv:2405.00382, 2024
2024
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions
S Kumari, AK Singh, V Mehandiratta, M Mehra
arXiv preprint arXiv:2309.13316, 2023
2023
An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation
AK Singh, M Mehra
Journal of Applied Mathematics and Computing 69 (3), 2675-2694, 2023
2023
Data-Driven Discovery of Time Fractional Differential Equations
AK Singh, M Mehra, AA Alikhanov
International Conference on Computational Science, 56-63, 2022
2022
Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order
AK Singh, M Mehra
International Conference on Computational Science, 408-421, 2021
2021
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