Applying a Set of Orthogonal Basis Functions in Numerical Solution of Hallen's Integral Equation for Dipole Antenna of Perfectly Conducting Material

S Hatamzadeh, Z Masouri - Journal of Modern Materials, 2022 - journals.aijr.org
The focus of this paper is on solving Hallen's integral equation for a diploe antenna of
perfectly conducting material. A special representation of orthogonal triangular basis …

A numerical investigation of unsteady space–time dependent coefficients anisotropic-diffusion convection reaction equation

MI Azis - Engineering Analysis with Boundary Elements, 2023 - Elsevier
Two dimensional transient problems for anisotropic FGMs governed by a diffusion
convection reaction (DCR) equation of time–space dependent coefficients are considered …

An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs

MI Azis, M Abbaszadeh, M Dehghan - International Journal of …, 2022 - Taylor & Francis
An LT-BEM is used to find numerical solutions to an unsteady variable coefficients diffusion-
convection equation governing problems of another class of anisotropic functionally graded …

[HTML][HTML] DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties

MI Azis - Results in Physics, 2025 - Elsevier
A combined Laplace transform (LT) and domain-boundary element method (DBEM) are
utilized to obtain numerical solutions for a spatio-temporal coefficient modified Helmholtz …

[HTML][HTML] 2D-xtDCR-LTBEM: A Fortran code for numerical solutions to the unsteady anisotropic-DCR equation of spatio-temporal coefficients

MI Azis - SoftwareX, 2023 - Elsevier
Variable coefficient equations are usually used as governing equations for modeling
problems which are associated with Functionally Graded Materials (FGM). 2D-xtDCR …

A numerical investigation of 2D transient heat conduction problems in anisotropic FGMs with time-dependent conductivity

MI Azis, S Toaha, S Hamzah, I Solekhudin - Journal of Computational …, 2023 - Elsevier
A class of two-dimensional (2D) transient heat conduction problems for anisotropic
Functionally Graded Materials (FGMs) of space–time dependent conductivity and coefficient …

A combined BEM and Laplace transform for unsteady modified-Helmholtz equation of time–space variable coefficients for anisotropic media

MI Azis - Engineering Computations, 2023 - emerald.com
Purpose Two-dimensional (2D) problems are governed by unsteady anisotropic modified-
Helmholtz equation of time–space dependent coefficients are considered. The problems are …

[HTML][HTML] Version [1.1]-[2D-xtDCR-LTBEM: A Fortran code for numerical solutions to the unsteady anisotropic-DCR equation of spatio-temporal coefficients]

MI Azis - SoftwareX, 2024 - Elsevier
Variable coefficient equations are usually used as governing equations for modeling
problems which are associated with Functionally Graded Materials (FGM). Version 1.1-2D …

A numerical solution for unsteady anisotropic diffusion reaction equation of time–space variable coefficients

MI Azis - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
Two‐dimensional transient problems for anisotropic functionally graded materials governed
by a diffusion reaction equation of time–space dependent coefficients are considered. Using …

Real-time solutions of time-varying separable integral equations (TVSIE) using Zhang equivalency

Y Zhang, W Yang - 2021 China Automation Congress (CAC), 2021 - ieeexplore.ieee.org
As technology rapidly increases, the integral equation becomes an important mathematical
tool to solve different problems. In addition, the time-varying problems are also one of the …