B. P. Poddar Institute of Management & Technology

About: B. P. Poddar Institute of Management & Technology is a based out in . It is known for research contribution in the topics: Logic gate & Birefringence. The organization has 119 authors who have published 276 publications receiving 2433 citations.

An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

Abstract: The aim of the present analysis is to apply Adomian decomposition method for the solution of a nonlinear fractional differential equation. Finally, the solution obtained by the decomposition method has been numerically evaluated and presented in the form of tables and then compared with those obtained by truncated series method. A good agreement of the results is observed.

Grey-based taguchi method for optimization of bead geometry in submerged arc bead-on-plate welding

Abstract: A multi-response optimization problem has been developed in search of an optimal parametric combination to yield favorable bead geometry of submerged arc bead-on-plate weldment. Taguchi’s L25 orthogonal array (OA) design and the concept of signal-to-noise ratio (S/N ratio) have been used to derive objective functions to be optimized within experimental domain. The objective functions have been selected in relation to parameters of bead geometry viz. bead width, bead reinforcement, depth of penetration and depth of HAZ. The Taguchi approach followed by Grey relational analysis has been applied to solve this multi-response optimization problem. The significance of the factors on overall output feature of the weldment has also been evaluated quantitatively by analysis of variance method (ANOVA). Optimal result has been verified through additional experiment. This indicates application feasibility of the Grey-based Taguchi technique for continuous improvement in product quality in manufacturing industry.

Analytical solution of the Bagley Torvik equation by Adomian decomposition method

Abstract: The fractional derivative has been occurring in many physical problems such as frequency dependent damping behavior of materials, motion of a large thin plate in a Newtonian fluid, creep and relaxation functions for viscoelastic materials, the PI λ D μ controller for the control of dynamical systems, etc. Phenomena in electromagnetics, acoustics, viscoelasticity, electrochemistry and material science are also described by differential equations of fractional order. The solution of the differential equation containing fractional derivative is much involved. Instead of application of the existing methods, an attempt has been made in the present analysis to obtain the solution of Bagley–Torvik equation [R.L. Bagley, P.J. Torvik, On the appearance of the fractional derivative in the behavior of real materials, ASME J. Appl. Mech., 51 (1984) 294–298; I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, CA, USA, 1999] by the relatively new Adomian decomposition method. The results obtained by this method are then graphically represented and then compared with those available in the work of Podlubny [I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, CA, USA, 1999]. A good agreement of the results is observed.

Analytical solution of a fractional diffusion equation by Adomian decomposition method

Abstract: This paper presents an analytical solution of a fractional diffusion equation by Adomian decomposition method. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

A numerical solution of the coupled sine-Gordon equation using the modified decomposition method

Abstract: The modified decomposition method has been implemented for solving a coupled sine-Gordon equation. We consider a system of coupled sine-Gordon equation, which models one-dimensional nonlinear wave processes in two-component media. By using an initial value system, the numerical solutions of coupled sine-Gordon equation have been represented graphically.