DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties
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 functio...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724007551 |
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| author | Mohammad Ivan Azis |
| author_facet | Mohammad Ivan Azis |
| author_sort | Mohammad Ivan Azis |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e779a4c0c98c47129e52536c1af469ad |
| institution | Kabale University |
| issn | 2211-3797 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj-art-e779a4c0c98c47129e52536c1af469ad2025-01-18T05:04:28ZengElsevierResults in Physics2211-37972025-01-0168108070DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent propertiesMohammad Ivan Azis0Department of Mathematics, Hasanuddin University, Makassar, IndonesiaA 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.http://www.sciencedirect.com/science/article/pii/S2211379724007551Anisotropic functionally graded materialsVariable coefficientsModified Helmholtz-type equationLaplace transformDomain-boundary element method |
| spellingShingle | Mohammad Ivan Azis DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties Results in Physics Anisotropic functionally graded materials Variable coefficients Modified Helmholtz-type equation Laplace transform Domain-boundary element method |
| title | DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties |
| title_full | DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties |
| title_fullStr | DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties |
| title_full_unstemmed | DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties |
| title_short | DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties |
| title_sort | dbem solutions to modified helmholtz problems for fgms of space time dependent properties |
| topic | Anisotropic functionally graded materials Variable coefficients Modified Helmholtz-type equation Laplace transform Domain-boundary element method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724007551 |
| work_keys_str_mv | AT mohammadivanazis dbemsolutionstomodifiedhelmholtzproblemsforfgmsofspacetimedependentproperties |