Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method

M Dehghan, A Ghesmati - Engineering Analysis with Boundary Elements, 2010 - Elsevier
In this paper, we use a numerical method based on the boundary integral equation (BIE)
and an application of the dual reciprocity method (DRM) to solve the second-order one …

A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media

A Gillman, AH Barnett, PG Martinsson - BIT Numerical Mathematics, 2015 - Springer
This paper presents a direct solution technique for the scattering of time-harmonic waves
from a bounded region of the plane in which the wavenumber varies smoothly in space. The …

Iterative multi-domain BEM solution for water wave reflection by perforated caisson breakwaters

Y Liu, HJ Li - Engineering Analysis with Boundary Elements, 2017 - Elsevier
This study develops a full solution for water wave reflection by a partially perforated caisson
breakwater with a rubble mound foundation using multi-domain BEM (boundary element …

Wave interaction with a submerged semicircular porous breakwater placed on a porous seabed

S Koley, T Sahoo - Engineering Analysis with Boundary Elements, 2017 - Elsevier
In the present study, a coupled eigenfunction expansion-boundary element method is
developed and used to analyze the interaction of surface gravity waves with a submerged …

A new analytical solution for wave scattering by a submerged horizontal porous plate with finite thickness

Y Liu, HJ Li, YC Li - Ocean Engineering, 2012 - Elsevier
This study gives a new analytical solution for water wave scattering by a submerged
horizontal porous plate breakwater with finite thickness in the context of linear potential …

The BEM and DRBEM schemes for the numerical solution of the two-dimensional time-fractional diffusion-wave equations

P Alipour - arXiv preprint arXiv:2305.12117, 2023 - arxiv.org
In this paper we apply the boundary elements method (BEM) and the dual reciprocity
boundary elements method (DRBEM) for the numerical solution of two-dimensional time …

The dual reciprocity boundary element method for one-dimensional nonlinear parabolic partial differential equations

P Alipour - Journal of Mathematical Sciences, 2024 - Springer
This article describes a numerical method based on the dual reciprocity boundary element
method (DRBEM) for solving some well-known nonlinear parabolic partial differential …

Hydraulic modelling approaches for ecohydraulic studies: 3D, 2D, 1D and non‐numerical models

D Tonina, K Jorde - Ecohydraulics: An integrated approach, 2013 - Wiley Online Library
This chapter deals with hydraulic modelling for predicting flow properties used in
ecohydraulics, in its broader sense, which encompasses aquatic habitat modelling …

Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein–Gordon equation

M Dehghan, A Ghesmati - Computer Physics Communications, 2010 - Elsevier
This paper aims to obtain approximate solutions of the Nonlinear Klein–Gordon (NLKG)
equation by employing the Boundary Integral Equation (BIE) method and the Dual …

A multigrid method for kernel functions acting on interacting structures with applications to biofluids

W Liu, MW Rostami - Journal of Computational Physics, 2023 - Elsevier
Simulating the dynamics of discretized interacting structures whose relationship is dictated
by a kernel function gives rise to a large dense matrix. We propose a multigrid solver for …