{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:30:52Z","timestamp":1747189852118,"version":"3.40.5"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371029"],"award-info":[{"award-number":["11371029"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2021,10]]},"abstract":"<jats:p> Based on the equivalent integro-differential form of the considered problem, a numerical approach to solving the two-dimensional nonlinear time fractional wave equations (NTFWEs) is considered in this paper. To this end, an alternating direction implicit (ADI) numerical scheme is derived. The scheme is established by combining the second-order convolution quadrature formula and Crank\u2013Nicolson technique in time and a fourth-order difference approach in space. The convergence and unconditional stability of the proposed compact ADI scheme are strictly discussed after a concise solvability analysis. A numerical example is shown to demonstrate the theoretical analysis. <\/jats:p>","DOI":"10.1142\/s1793962321500409","type":"journal-article","created":{"date-parts":[[2021,2,27]],"date-time":"2021-02-27T01:18:33Z","timestamp":1614388713000},"page":"2150040","source":"Crossref","is-referenced-by-count":0,"title":["A compact scheme for two-dimensional nonlinear time fractional wave equations"],"prefix":"10.1142","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1591-6818","authenticated-orcid":false,"given":"Guanghui","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Ren","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,3,31]]},"reference":[{"key":"S1793962321500409BIB001","doi-asserted-by":"publisher","DOI":"10.1115\/1.3167616"},{"key":"S1793962321500409BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S1793962320500397"},{"key":"S1793962321500409BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2006.04.034"},{"volume-title":"Fractional Differential Equations","year":"1999","author":"Podlubny I.","key":"S1793962321500409BIB004"},{"volume-title":"The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type","year":"2004","author":"Diethelm K.","key":"S1793962321500409BIB005"},{"key":"S1793962321500409BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/3779"},{"key":"S1793962321500409BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7949(01)00026-8"},{"key":"S1793962321500409BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-012-9681-9"},{"key":"S1793962321500409BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.06.022"},{"key":"S1793962321500409BIB010","doi-asserted-by":"publisher","DOI":"10.4208\/eajam.110312.240412a"},{"key":"S1793962321500409BIB011","doi-asserted-by":"publisher","DOI":"10.1142\/S1793962310000195"},{"key":"S1793962321500409BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2017.09.011"},{"key":"S1793962321500409BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.02.001"},{"key":"S1793962321500409BIB014","doi-asserted-by":"publisher","DOI":"10.4208\/eajam.260318.220618"},{"key":"S1793962321500409BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S1793962319410058"},{"key":"S1793962321500409BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2005.03.003"},{"key":"S1793962321500409BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.02.045"},{"key":"S1793962321500409BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9689-0"},{"key":"S1793962321500409BIB019","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s12190-020-01341-8","volume":"64","author":"Huang J. F.","year":"2020","journal-title":"J. Appl. Math. Comput."},{"key":"S1793962321500409BIB020","doi-asserted-by":"publisher","DOI":"10.4208\/eajam.230718.131018"},{"key":"S1793962321500409BIB021","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1956-0084194-4"},{"key":"S1793962321500409BIB022","doi-asserted-by":"publisher","DOI":"10.1002\/num.21976"},{"key":"S1793962321500409BIB023","doi-asserted-by":"publisher","DOI":"10.1137\/110840959"},{"key":"S1793962321500409BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2020.09.003"},{"key":"S1793962321500409BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.11.005"},{"key":"S1793962321500409BIB026","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2014.915960"}],"container-title":["International Journal of Modeling, Simulation, and Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793962321500409","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T17:00:48Z","timestamp":1630947648000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793962321500409"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,31]]},"references-count":26,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["10.1142\/S1793962321500409"],"URL":"https:\/\/doi.org\/10.1142\/s1793962321500409","relation":{},"ISSN":["1793-9623","1793-9615"],"issn-type":[{"type":"print","value":"1793-9623"},{"type":"electronic","value":"1793-9615"}],"subject":[],"published":{"date-parts":[[2021,3,31]]}}}