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math.NA2023
A new regularisation for time-fractional backward heat conduction problem
M. Thamban Nair, P. Danumjaya
It is well-known that the backward heat conduction problem of recovering the temperature at a time from the knowledge of the temperature at a later time, na…
math.NA2023
Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data
P. Danumjaya, Anil Kumar, Amiya K. Pani
Exponential decay estimates of a general linear weakly damped wave equation are studied with decay rate lying in a range. Based on the -conforming finite element method to dis…