Md. Amirul Islam
This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite efficient and practically well suited for solving these problems. In order to verify the ac-curacy,...
Mudassir Shams, Nasreen Kausar, Cuauhtémoc Samaniego, Praveen Agarwal et al.
This research paper introduces a novel fractional Caputo-type simultaneous method for finding all simple and multiple roots of polynomial equations. Without any additional polynomial and derivative evaluations using suitable correction, the order of convergence of the basic Aberth–Ehrlich simultaneo...
Sadia Akter Lima, Md. Kamrujjaman, Md. Shafiqul Islam
This study contemplates the Finite Element Method (FEM), a well-known numerical method, to find numerical approximations of the Convection–Diffusion–Reaction (CDR) equation. We concentrate on analyzing the convergence and stability of the nonlinear parabolic partial equations. The method is generall...
Md. Amirul Islam
In this paper, we consider fourth order Runge-Kutta method for solving ordinary differential equations in initial value problems. The proposed methods are quite efficient and are practically well suited for solving these problems. Several examples are presented to demonstrate the accuracy and easy i...
Jie Zhang
Summary A comprehensive study of A‐stable linear two‐step time integration methods for structural dynamics analysis is presented in this paper. An optimal A‐stable linear two‐step (OALTS) time integration method is revealed with desirable performance on low‐frequency accuracy and high‐frequency nume...
Md. Mamunur Roshid, Md. Habibul Bashar
In this work, we confer the propagation of nonlinear Kinky periodic wave and breather wave for the dominant nonlinear pseudo-parabolic physical models: the one-dimensional Oskolkov equation is explored. By executing simple equation method, compilation of disguise adaptation of exact nonlinear wave s...
M. H. Rashid, ShaoYing Yu, C. Li, Shih-Ying Wu
Md. Shamsul Alam, M. A. K. Azad, Md. Azizul Hoque
María C. Maciel, Sandra A. Santos, Graciela N. Sottosanto
Nepal Chandra Roy, M. A. Hossain
Jie Zhang
Abstract A spectral consistent starting procedure is proposed for the first‐order‐type A‐stable linear two‐step (LTS) time integration methods in structural dynamics analysis. The accuracy analysis for the LTS methods in structural dynamics is presented based on the first‐order model, which enables ...
Md. Babul Hossain
In this paper, Butcher’s fifth order Runge-Kutta (RK5) and fourth order Runge-Kutta (RK4) methods have been employed to solve the Initial Value Problems (IVP) involving third order Ordinary Differential Equations (ODE). These two proposed methods are quite proficient and practically well suited for ...
Samir Kumar Bhowmik
We study a linear partial integro-differential equation which arises in the modeling of various physical and biological sciences. We analyze numerical stability and numerical convergence of a one step approximation of the problem with smooth and non-smooth initial functions. © 2010 Wiley Periodicals...
Md. Jashim Uddin, Mir Md. Moheuddin, Md. Kowsher
The main goal of this research is to give the complete conception about numerical integration including Newton-Cotes formulas and aimed at comparing the rate of performance or the rate of accuracy of Trapezoidal, Simpson's 1/3, and Simpson's 3/8. To verify the accuracy, we compare each rules demonst...
LS Andallah, M. Saleha Khatun
This paper presents numerical simulation of one-dimensional advection-diffusion equation. We study the analytical solution of advection diffusion equation as an initial value problem in infinite space and realize the qualitative behavior of the solution in terms of advection and diffusion co-efficie...
M. Ali Akbar, Md. Shamsul Alam, M. A. Sattar
Md. Shamsul Alam
Rameswar Debnath, Haruhisa Takahashi
The support vector machine (SVM) problem is a convex quadratic programming problem which scales with the training data size. If the training size is large, the problem cannot be solved by straighforward methods. The large-scale SVM problems are tackled by applying chunking (decomposition) technique....
Md. Shahadat Hossain Mojumder, Md. Nazmul Haque, Md. Joni Alam
In this paper, we investigate and analyze one-dimensional heat equation with appropriate initial and boundary condition using finite difference method. Finite difference method is a well-known numerical technique for obtaining the approximate solutions of an initial boundary value problem. We develo...
Bazle Z. Haque, Md Monir Hossain, Md Bostami, Md. Monir Hossain
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