9 citations · 22 across the 11 of their papers we have counts for
12 papers
Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space
Amit K. Verma, Bivek Gupta
In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space and Morrey space. The theory developed generalize and…
A note on continuous fractional wavelet transform in
Amit K. Verma, Bivek Gupta
In this paper, we have studied continuous fractional wavelet transform (CFrWT) in -dimensional Euclidean space with dilation parameter $\boldsymbol a=(a_{1},a_{2}…
An improved Haar wavelet quasilinearization technique for a class of generalized Burger's equation
Amit K. Verma, Mukesh Rawani
Solving Burgers' equation always poses challenge to researchers as for small values of viscosity the analytical solution breaks down. Here we propose to compute numerical solution…
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…
Region of existence of multiple solutions for a class of 4-point BVPs
Amit K. Verma, Nazia Urus
The aim of this article is to prove the existence of solution and compute the region of existence for a class of 4-point BVPs defined as, \begin{eqnarray*} &&-u''(x)=ψ(x,u,u'), \qu…
Regions of existence for a class of nonlinear diffusion type problems
Amit K. Verma, Mandeep Singh, Ravi P. Agarwal
The regions of existence are established for a class of two point nonlinear diffusion type boundary value problems (NDBVP) \begin{eqnarray*} &&\label{abst-intr-1} -s''(x)-ns'(x)-\f…