Gülsu, Mustafa; Öztürk, Yalçın; Anapali, Ayşe Numerical solution the fractional Bagley-Torvik equation arising in fluid mechanics. (English) Zbl 06724299 Int. J. Comput. Math. 94, No. 1, 173-184 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Gülsu} et al., Int. J. Comput. Math. 94, No. 1, 173--184 (2017; Zbl 06724299) Full Text: DOI
Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse A collocation method for solving fractional Riccati differential equation. (English) Zbl 1305.34014 Adv. Appl. Math. Mech. 5, No. 6, 872-884 (2013). MSC: 34A08 65N35 30K05 PDFBibTeX XMLCite \textit{M. Gulsu} et al., Adv. Appl. Math. Mech. 5, No. 6, 872--884 (2013; Zbl 1305.34014) Full Text: DOI Euclid
Gülsu, Mustafa; Öztürk, Yalçın; Anapalı, Ayşe Numerical approach for solving fractional relaxation-oscillation equation. (English) Zbl 1278.65099 Appl. Math. Modelling 37, No. 8, 5927-5937 (2013). MSC: 65L05 34A08 34A34 34C26 PDFBibTeX XMLCite \textit{M. Gülsu} et al., Appl. Math. Modelling 37, No. 8, 5927--5937 (2013; Zbl 1278.65099) Full Text: DOI Link
Gülsu, Mustafa; Öztürk, Yalçın; Anapalı, Ayşe Numerical approach for solving fractional Fredholm integro-differential equation. (English) Zbl 1311.65165 Int. J. Comput. Math. 90, No. 7, 1413-1434 (2013). MSC: 65R20 34A08 45K05 41A58 33F05 PDFBibTeX XMLCite \textit{M. Gülsu} et al., Int. J. Comput. Math. 90, No. 7, 1413--1434 (2013; Zbl 1311.65165) Full Text: DOI
Gülsu, Mustafa; Yalman, Hatice; Öztürk, Yalçın; Sezer, Mehmet A new Hermite collocation method for solving differential difference equations. (English) Zbl 1238.41019 Appl. Appl. Math. 6, No. 1, 116-129 (2011). MSC: 41A58 41A10 34K28 39A10 PDFBibTeX XMLCite \textit{M. Gülsu} et al., Appl. Appl. Math. 6, No. 1, 116--129 (2011; Zbl 1238.41019) Full Text: Link
Gülsu, Mustafa; Sezer, Mehmet A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments. (English) Zbl 1209.65147 Numer. Methods Partial Differ. Equations 27, No. 2, 447-459 (2011). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Numer. Methods Partial Differ. Equations 27, No. 2, 447--459 (2011; Zbl 1209.65147) Full Text: DOI
Sezer, Mehmet; Tanay, Bekir; Gülsu, Mustafa Numerical solution of a class of complex differential equations by the Taylor collocation method in elliptic domains. (English) Zbl 1197.65098 Numer. Methods Partial Differ. Equations 26, No. 5, 1191-1205 (2010). MSC: 65L60 34M03 65E05 PDFBibTeX XMLCite \textit{M. Sezer} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1191--1205 (2010; Zbl 1197.65098) Full Text: DOI
Bülbül, Berna; Gülsu, Mustafa; Sezer, Mehmet A new Taylor collocation method for nonlinear Fredholm-Volterra integro-differential equations. (English) Zbl 1197.65222 Numer. Methods Partial Differ. Equations 26, No. 5, 1006-1020 (2010). MSC: 65R20 45J05 45G10 65H10 PDFBibTeX XMLCite \textit{B. Bülbül} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1006--1020 (2010; Zbl 1197.65222) Full Text: DOI
Sezer, Mehmet; Yalçinbaş, Salih; Gülsu, Mustafa A Taylor polynomial approach for solving generalized pantograph equations with nonhomogeneous term. (English) Zbl 1145.65048 Int. J. Comput. Math. 85, No. 7, 1055-1063 (2008). MSC: 65L05 34K28 PDFBibTeX XMLCite \textit{M. Sezer} et al., Int. J. Comput. Math. 85, No. 7, 1055--1063 (2008; Zbl 1145.65048) Full Text: DOI
Sezer, Mehmet; Gülsu, Mustafa Polynomial solution of the most general linear Fredholm–Volterra integrodifferential-difference equations by means of Taylor collocation method. (English) Zbl 1107.65353 Appl. Math. Comput. 185, No. 1, 646-657 (2007). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. Sezer} and \textit{M. Gülsu}, Appl. Math. Comput. 185, No. 1, 646--657 (2007; Zbl 1107.65353) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet Approximations to the solution of linear Fredholm integro-differential-difference equation of high order. (English) Zbl 1113.65122 J. Franklin Inst. 343, No. 7, 720-737 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45L05 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, J. Franklin Inst. 343, No. 7, 720--737 (2006; Zbl 1113.65122) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations. (English) Zbl 1109.65113 Int. J. Comput. Math. 83, No. 4, 429-448 (2006). MSC: 65R20 45J05 68W30 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Int. J. Comput. Math. 83, No. 4, 429--448 (2006; Zbl 1109.65113) Full Text: DOI
Sezer, Mehmet; Gülsu, Mustafa; Tanay, Bekir A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains. (English) Zbl 1106.65061 Appl. Math. Comput. 182, No. 1, 498-508 (2006). MSC: 65L05 65L60 34M20 PDFBibTeX XMLCite \textit{M. Sezer} et al., Appl. Math. Comput. 182, No. 1, 498--508 (2006; Zbl 1106.65061) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet On the solution of the Riccati equation by the Taylor matrix method. (English) Zbl 1093.65072 Appl. Math. Comput. 176, No. 2, 414-421 (2006). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Appl. Math. Comput. 176, No. 2, 414--421 (2006; Zbl 1093.65072) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet A Taylor polynomial approach for solving differential-difference equations. (English) Zbl 1078.65551 J. Comput. Appl. Math. 186, No. 2, 349-364 (2006). MSC: 65L05 34K28 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, J. Comput. Appl. Math. 186, No. 2, 349--364 (2006; Zbl 1078.65551) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials. (English) Zbl 1082.65592 Appl. Math. Comput. 168, No. 1, 76-88 (2005). MSC: 65Q05 39A10 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Appl. Math. Comput. 168, No. 1, 76--88 (2005; Zbl 1082.65592) Full Text: DOI