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An investigation of discontinuities in time-dependent 2D and 3D parabolic partial differential equations utilizing collocation methods: a comparative analysis of complex interface problems

Crossref DOI link: https://doi.org/10.1007/s40314-025-03539-7

Published Online: 2025-12-15

Published Print: 2026-04

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Faheem, Muhammad

Asif, Muhammad

Amin, Rohul

Haider, Nadeem

Jarad, Fahd https://orcid.org/0000-0002-3303-0623
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Text and Data Mining valid from 2025-12-15

Version of Record valid from 2025-12-15
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Article History

Received: 15 August 2025

Revised: 5 November 2025

Accepted: 11 November 2025

First Online: 15 December 2025

Declarations

:

: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

: Not applicable.

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