5 citations · 6 across the 5 of their papers we have counts for
7 papers
Hyper-power series and generalized real analytic functions
Diksha Tiwari, Akbarali Mukhammadiev, Paolo Giordano
This article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers in this journal. We study one…
A Fourier transform for all generalized functions
Akbarali Mukhammadiev, Diksha Tiwari, Paolo Giordano
Using the existence of infinite numbers in the non-Archimedean ring of Robinson-Colombeau, we define the hyperfinite Fourier transform (HFT) by considering integration extended…
Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers
A. Mukhammadiev, D. Tiwari, G. Apaaboah +1
It is well-known that the notion of limit in the sharp topology of sequences of Colombeau generalized numbers does not generalize classical results. E.g.~t…
Hyperseries in the non-Archimedean ring of Colombeau generalized numbers
Diksha Tiwari, Paolo Giordano
This article is the natural continuation of the paper: Mukhammadiev A.~et al Supremum, infimum and hyperlimits of Colombeau generalized numbers in this journal. Since the ring $\ti…
System of Lane-Emden equations as IVPs BVPs and Four Point BVPs & Computation with Haar Wavelets
Amit K. Verma, Narendra Kumar, Diksha Tiwari
In this work we present Haar wavelet collocation method and solve the following class of system of Lane-Emden equation defined as \begin{eqnarray*} -(t^{k_1} y'(t))'=t^{-ω_1} f_1(t…
On some computational aspects of Hermite wavelets on a class of SBVPs arising in exothermic reactions
Amit K. Verma, Diksha Tiwari
We propose a new class of SBVPs which deals with exothermic reactions. We also propose four computationally stable methods to solve singular nonlinear BVPs by using Hermite wavelet…
A generalized novel approach based on orthonormal polynomial wavelets with an application to Lane-Emden equation
Amit K. Verma, Diksha Tiwari, Carlo Cattani
Capturing solution near the singular point of any nonlinear SBVPs is challenging because coefficients involved in the differential equation blow up near singularities. In this arti…