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The proposed method, known as the modified reduced differential transform method (MRDTM), extends the interval of convergence with less computing time. An interesting aspect of this method is its capability to produce an analytic exact solution with only a few computable terms. The paper provides practical applications through notable examples encompassing the Klein\u2013Gordon equation, the Schr\u00f6dinger equation, the nonlinear reaction\u2013diffusion\u2013convection equation, and systems of linear and nonlinear PDEs. Primary results on certain test problems demonstrate the efficiency and ability of the method in solving diverse classes of partial differential equations, and therefore, it can be used as an alternative for dealing with such problems that do not have analytic solutions.<\/jats:p>","DOI":"10.1155\/jama\/6866952","type":"journal-article","created":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T09:04:41Z","timestamp":1748509481000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Study of Solutions for Some Classes of PDEs Arising in Physics and Engineering Using Modified Reduced Differential Transform Method"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1062-9270","authenticated-orcid":false,"given":"Osama","family":"Alkhazaleh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1143-5993","authenticated-orcid":false,"given":"Osama","family":"Ala\u2019yed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,5,29]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(99)00018-3"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.padiff.2024.101065"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.13189\/ms.2020.080505"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/208375"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.07.015"},{"key":"e_1_2_10_6_2","first-page":"1013","volume-title":"AIP Conference Proceedings","author":"Anakira N. 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