ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the numerical solution of Maxwell’s equations, enabling detailed electromagnetic analysis across a wide range of applications.

Abstract: A numerical algorithm is presented that simulates large deformations of heterogeneous, viscoelastic materials in two dimensions. The algorithm is based on a spectral/finite difference method ...

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

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

Abstract: The aim of this article is to present a hybrid finite element/finite difference method which is used for reconstructions of electromagnetic properties within a realistic breast phantom. This ...