1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...

Boundary Element Methods (BEM) have emerged as a robust numerical technique for addressing wave propagation problems across diverse fields such as acoustics, elastodynamics, and electromagnetics.

This repository contains the solution to a boundary value problem. The task involves solving a boundary value problem using the finite element method (FEM) in Python. This repository covers the ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

Abstract: This paper introduces the development and implementation of a Top-order Multi-step Block Method (TMBM) tailored for the numerical solution of third-order boundary value problems (BVPs) in ...

Abstract: In this paper we consider boundary integral methods applied to boundary value problems for the positive definite Helmholtz‐type problem −ΔU + α 2 U = 0 in a bounded or unbounded domain, with ...

ABSTRACT: There are few numerical techniques available to solve the Bagley-Torvik equation which occurs considerably frequently in various offshoots of applied mathematics and mechanics. In this paper ...

This is a preview. Log in through your library . Abstract This is the first in a series of papers in which we discuss a numerical method to solve a certain class of steady state free boundary problems ...

This is a preview. Log in through your library . Abstract This paper concerns the application of Ortiz' recursive formulation of the Tau method to the construction of ...

Far-from-equilibrium dynamics controls a broad range of processes in nature and technology, from celestial events to atoms. Examples include supernovae, climate change, turbulence, nanofabrication and ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...