9 citations · 26 across the 13 of their papers we have counts for
11 papers · 1 filter
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…
Haar wavelets collocation on a class of Emden-Fowler equation via Newton's quasilinearization and Newton-Raphson techniques
Amit Kumar Verma, Narendra Kumar
In this paper we have considered generalized Emden-Fowler equation, \begin{equation*} y''(t)+σt^γy^β(t)=0, ~~~~~~~~t \in ]0,1[ \end{equation*} subject to the following boundary con…
A note on derivative dependent singular boundary value problems arising in physiology
R. K. Pandey, A. K. Verma
In this note we establish existence of solutions of singular boundary value problem for and , $α_{1}y(b)+β_{1}…
On a seventh order convergent weakly -stable Newton Cotes formula with application on Burger's equation
Amit Kumar Verma, Mukesh Kumar Rawani, Ravi P. Agarwal
In this paper we derive order convergent integration formula in time which is weakly -stable. To derive the method we use, Newton Cotes formula, fifth-order Hermite int…
Numerical solutions for a class of singular boundary value problems arising in the theory of epitaxial growth
Amit Kumar Verma, Biswajit Pandit, Carlos Escudero
The existence of numerical solutions to a fourth order singular boundary value problem arising in the theory of epitaxial growth is studied. An iterative numerical method is applie…
Existence and nonexistence results of radial solutions to singular BVPs arising in epitaxial growth theory
Amit Kumar Verma, Biswajit Pandit
The existence and nonexistence of stationary radial solutions to the elliptic partial differential equation arising in the molecular beam epitaxy are studied. The fourth-order radi…
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…