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

IF 4.4 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Results in Physics Pub Date : 2025-01-01 DOI:10.1016/j.rinp.2024.108070

Mohammad Ivan Azis

引用次数: 0

Abstract

A combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for a spatio-temporal coefficient modified Helmholtz-type equation with arbitrary initial conditions and source terms, addressing problems in a distinct class of anisotropic functionally graded materials (FGMs). The process involves deriving a domain-boundary integral equation by transforming the variable coefficient equation into a constant coefficient equation and applying the Laplace transform. Numerical solutions are then obtained using the standard domain-boundary element method and the Stehfest formula. This study demonstrated the accuracy of numerical solutions.

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来源期刊

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

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