A boundary collocation method for anomalous heat conduction analysis in functionally graded materials

ZJ Fu, LW Yang, Q Xi, CS Liu - Computers & Mathematics with Applications, 2021 - Elsevier
This paper applies a semi-analytical boundary collocation method, the singular boundary
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …

An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations

M Dehghan, M Abbaszadeh - Applied Numerical Mathematics, 2018 - Elsevier
The main aim of the current paper is to propose an efficient numerical technique for solving
two-dimensional space-multi-time fractional Bloch–Torrey equations. The current research …

Dual reciprocity boundary element method: Methodology and applications in structural engineering

MF Samaan - Computers & Structures, 2024 - Elsevier
Abstract The Dual Reciprocity Boundary Element Method (DRBEM) is a numerical technique
that has been widely employed in structural engineering for solving boundary value …

A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations

ZJ Fu, LW Yang, HQ Zhu, WZ Xu - Engineering Analysis with Boundary …, 2019 - Elsevier
This study presents a semi-analytical boundary-only collocation technique for solving multi-
term time-fractional diffusion-wave equations. In the present collocation technique, the …

Unsteady MHD mixed convection flow in a lid-driven cavity with a heated wavy wall

FS Oğlakkaya, C Bozkaya - International Journal of Mechanical Sciences, 2018 - Elsevier
The unsteady mixed convection flow under the effect of an externally applied uniform
magnetic field is investigated numerically in a lid-driven cavity with a sinusoidal wavy wall …

Application of the modified operational matrices in multiterm variable‐order time‐fractional partial differential equations

H Dehestani, Y Ordokhani… - Mathematical Methods in …, 2019 - Wiley Online Library
In this paper, we present a novel discrete scheme based on Genocchi polynomials and
fractional Laguerre functions to solve multiterm variable‐order time‐fractional partial …

Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo–Fabrizio fractional derivative

L Wei, W Li - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we construct and investigate an accurate numerical scheme for solving a class
of variable-order (VO) fractional diffusion equation based on the Caputo–Fabrizio fractional …

Indirect boundary element formulation with dual reciprocity in elastodynamics

THA Naga, EM Elsheikh, YF Rashed - Engineering Analysis with Boundary …, 2022 - Elsevier
In this paper, a new indirect boundary element formulation for two-dimensional
elastodynamic problems is presented. The formulation makes use of a static fundamental …

A time-stepping DRBEM for nonlinear fractional sub-diffusion bio-heat ultrasonic wave propagation problems during electromagnetic radiation

MA Fahmy - Journal of Umm Al-Qura University for Applied …, 2024 - Springer
The main aim of this study is to develop a new DRBEM methodology for solving nonlinear
fractional sub-diffusion bio-heat ultrasonic wave propagation problems during …

Method of fundamental solutions without fictitious boundary in elastodynamic behavior using dual reciprocity method

THA Naga - Journal of Engineering Mechanics, 2024 - ascelibrary.org
In this paper, a meshless method for analyzing the elastodynamic behavior of two-
dimensional problems is introduced. The nonsingular method of fundamental solutions …