51 citations · 57 across the 12 of their papers we have counts for
12 papers
Inverted finite elements approximation of the Neumann problem for second order elliptic equations in exterior two-dimensional domains
R Belbaki, S K Bhowmik, T Z Boulmezaoud +2
We use inverted finite elements method for approximating solutions of second order elliptic equations with non-constant coefficients varying to infinity in the exterior of a 2D bou…
Numerical solutions of the generalized equal width wave equation using Petrov Galerkin method
Samir Kumar Bhowmik, Seydi Battal Gazi Karakoc
In this article we consider a generalized equal width wave (GEW) equation which is a significant nonlinear wave equation as it can be used to model many problems occurring in appli…
Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method
Seydi Battal Gazi Karakoc, Samir Kumar Bhowmik
The generalized regularized long wave (GRLW) equation has been developed to model a variety of physical phenomena such as ion-acoustic and magnetohydrodynamic waves in plasma, nonl…
Equilibrium solutions of a nonlinear integro-differential equation
Ali Alshomrani, Samir Kumar Bhowmik
Integral operators play an important role modeling various physical and biological processes. In this article we consider such a nonlinear integro-differential equation. We study s…
Tchebychev Polynomial Approximations for Order Boundary Value Problems
Samir Kumar Bhowmik
Higher order boundary value problems (BVPs) play an important role modeling various scientific and engineering problems. In this article we develop an efficient numerical scheme fo…
Spatiotemporal Orthogonal Polynomial Approximation for Partial Differential Equations
Samir Kumar Bhowmik, Sharanjeet Dhawan
Starting with some fundamental concepts, in this article we present the essential aspects of spectral methods and their applications to the numerical solution of Partial Differenti…
A multigrid method for the Helmholtz equation with optimized coarse grid corrections
Christiaan C. Stolk, Mostak Ahmed, Samir K. Bhowmik
We study the convergence of multigrid schemes for the Helmholtz equation, focusing in particular on the choice of the coarse scale operators. Let G_c denote the number of points pe…
Fast and Efficient Numerical Methods for an Extended Black-Scholes Model
Samir Kumar Bhowmik
An efficient linear solver plays an important role while solving partial differential equations (PDEs) and partial integro-differential equations (PIDEs) type mathematical models.…
Numerical approximation of a linear elasticity model
Samir Kumar Bhowmik
We consider a nonlocal linear elastic wave model. We approximate the model using a spectral Galerkin method in space and analyze error in such an approximation. We perform some num…
Preconditioners based on Windowed Fourier Frames Applied to Elliptic Partial Differential Equations
Samir K. Bhowmik, Christiaan C. Stolk
We investigate the application of windowed Fourier frames (WFFs) to the numerical solution of partial differential equations, focussing on elliptic equations. The action of a parti…
Numerical convergence of a one step approximation of an intrgro-differential equation
Samir Kumar Bhowmik
We consider a linear partial integro-differential equation that arises in the modeling of various physical and biological processes. We study the problem in a spatial periodic doma…
Finite to infinite steady state solutions, bifurcations of an integro-differential equation
S. K. Bhowmik, D. B. Duncan, M. Grinfeld +1
We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid--solid phase transitions on a circle. We study the bifurcations of t…