{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T23:45:44Z","timestamp":1778715944377,"version":"3.51.4"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2019,2]]},"abstract":"<jats:p> In this paper, time-fractional Sharma\u2013Tasso\u2013Olver (STO) equation has been solved numerically through the Petrov\u2013Galerkin approach utilizing a quintic B-spline function as the test function and a linear hat function as the trial function. The Petrov\u2013Galerkin technique is effectively implemented to the fractional STO equation for acquiring the approximate solution numerically. The numerical outcomes are observed in adequate compatibility with those obtained from variational iteration method (VIM) and exact solutions. For fractional order, the numerical outcomes of fractional Sharma\u2013Tasso\u2013Olver equations are also compared with those obtained by variational iteration method (VIM) in Song et al. [Song L., Wang Q., Zhang H., Rational approximation solution of the fractional Sharma\u2013Tasso\u2013Olver equation, J. Comput. Appl. Math. 224:210\u2013218, 2009]. Numerical experiments exhibit the accuracy and efficiency of the approach in order to solve nonlinear fractional STO equation. <\/jats:p>","DOI":"10.1142\/s1793962319410071","type":"journal-article","created":{"date-parts":[[2018,11,6]],"date-time":"2018-11-06T21:11:01Z","timestamp":1541538661000},"page":"1941007","source":"Crossref","is-referenced-by-count":5,"title":["The Petrov\u2013Galerkin finite element method for the numerical solution of time-fractional Sharma\u2013Tasso\u2013Olver equation"],"prefix":"10.1142","volume":"10","author":[{"given":"A. K.","family":"Gupta","sequence":"first","affiliation":[{"name":"KIIT University, School of Applied Sciences, Bhubaneswar 751024, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. 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