Faculty of Science
http://repository.library.du.ac.bd:8080/xmlui/xmlui/handle/123456789/16
2020-02-20T11:12:10ZStudies on Eigenvalue Analysis for a Class of Differential Equations by the Methods of Weighted Residuals
http://repository.library.du.ac.bd:8080/xmlui/xmlui/handle/123456789/1545
Studies on Eigenvalue Analysis for a Class of Differential Equations by the Methods of Weighted Residuals
Farzana, Humaira
This thesis submitted for the degree of Doctor of Philosophy in The University of Dhaka.
2019-12-10T00:00:00ZNumerical convergence of a one step approximation of an integro-differential equation
http://repository.library.du.ac.bd:8080/xmlui/xmlui/handle/123456789/1187
Numerical convergence of a one step approximation of an integro-differential equation
Bhowmik, Samir Kumar
We consider a linear partial integro-differential equation that arises in modeling various physical and biological processes. We study the problem in a spatial periodic domain. We analyze numerical stability and numerical convergence of a one step approximation of the problem with smooth and non-smooth initial functions.
2012-08-17T00:00:00ZFinite to Infinite Steady State Solutions, Bifurcations of an Integro-Differential Equation
http://repository.library.du.ac.bd:8080/xmlui/xmlui/handle/123456789/1186
Finite to Infinite Steady State Solutions, Bifurcations of an Integro-Differential Equation
Bhowmik, Samir K.; Duncan, Dugald B.; Grinfeld, Michael; Lord, Gabriel J.
We consider a bistable integral equation which governs the sta- tionary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is increased to examine the transition from an uncountably infinite number of steady states to three for the continuum limit of the semi– discretised system. We show how the symmetry of the problem is responsible for the generation and stabilisation of equilibria and comment on the puzzling connection between continuity and stability that exists in this problem.
2011-07-01T00:00:00ZNumerical approximation of a convolution model of ˙ θ-neuron networks
http://repository.library.du.ac.bd:8080/xmlui/xmlui/handle/123456789/1185
Numerical approximation of a convolution model of ˙ θ-neuron networks
Bhowmik, Samir Kumar
In this article, we consider a nonlinear integro-differential equation that arises in a ˙ θ-neural networks modeling. We analyze boundedness and invertibility of the model operator, construct approximate solutions using piecewise polynomials in space, and estimate the theoretical convergence rate of such spatial approximations. We present some numerical experimental results to demonstrate the scheme.
2010-12-22T00:00:00Z