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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences


Nonlinear Klein-Gordon and Schrodinger Equations by the Projected Differential Transform Method

DC Field Value Language Do, Younghae ko Jang, Bongsoo ko 2014-04-09T07:59:16Z - 2013-06-19 ko 2012-07 ko
dc.identifier.citation ABSTRACT AND APPLIED ANALYSIS, v.2012, pp.1 - 15 ko
dc.identifier.issn 1085-3375 ko
dc.identifier.uri -
dc.description.abstract The differential transform method (DTM) is based on the Taylor series for all variables, but it differs from the traditional Taylor series in calculating coefficients. Even if the DTM is an effective numerical method for solving many nonlinear partial differential equations, there are also some difficulties due to the complex nonlinearity. To overcome difficulties arising in DTM, we present the new modified version of DTM, namely, the projected differential transform method (PDTM), for solving nonlinear partial differential equations. The proposed method is applied to solve the various nonlinear Klein-Gordon and Schrodinger equations. Numerical approximations performed by the PDTM are presented and compared with the results obtained by other numerical methods. The results reveal that PDTM is a simple and effective numerical algorithm. ko
dc.description.statementofresponsibility open -
dc.language 영어 ko
dc.title Nonlinear Klein-Gordon and Schrodinger Equations by the Projected Differential Transform Method ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84866116672 ko
dc.identifier.wosid 000308148000001 ko
dc.type.rims ART ko
dc.description.wostc 1 *
dc.description.scopustc 1 * 2015-02-28 * 2014-08-19 *
dc.identifier.doi 10.1155/2012/150527 ko
dc.identifier.url ko
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