Karaagac, Berat; Esen, Alaattin; Ucar, Yusuf; Yagmurlu, Nuri Murat A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method. (English) Zbl 07674315 Comput. Math. Appl. 136, 127-135 (2023). MSC: 76Z05 35Q92 65D07 65M70 92E20 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Comput. Math. Appl. 136, 127--135 (2023; Zbl 07674315) Full Text: DOI
Ucar, Yusuf; Esen, Alaattin; Karaagac, Berat Numerical solutions of Boussinesq equation using Galerkin finite element method. (English) Zbl 07776035 Numer. Methods Partial Differ. Equations 37, No. 2, 1612-1630 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Ucar} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1612--1630 (2021; Zbl 07776035) Full Text: DOI
Karaagac, Berat; Ucar, Yusuf; Esen, Alaattin Dynamics of modified improved Boussinesq equation via Galerkin finite element method. (English) Zbl 1457.65117 Math. Methods Appl. Sci. 43, No. 17, 10204-10220 (2020). MSC: 65M60 65D07 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Math. Methods Appl. Sci. 43, No. 17, 10204--10220 (2020; Zbl 1457.65117) Full Text: DOI
Uçar, Yusuf; Yağmurlu, Nuri M.; Çelikkaya, İhsan Operator splitting for numerical solution of the modified Burgers’ equation using finite element method. (English) Zbl 1418.65148 Numer. Methods Partial Differ. Equations 35, No. 2, 478-492 (2019). MSC: 65M70 65M60 65D07 65M06 35Q35 PDFBibTeX XMLCite \textit{Y. Uçar} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 478--492 (2019; Zbl 1418.65148) Full Text: DOI
Karaagac, Berat; Ucar, Yusuf; Esen, Alaattin Numerical solutions of the improved Boussinesq equation by the Galerkin quadratic B-spline finite element method. (English) Zbl 1499.65351 Filomat 32, No. 16, 5573-5583 (2018). MSC: 65L60 35C08 41A15 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Filomat 32, No. 16, 5573--5583 (2018; Zbl 1499.65351) Full Text: DOI
Kutluay, Selcuk; Ucar, Yusuf; Yagmurlu, N. Murat Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method. (English) Zbl 1356.65230 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1603-1614 (2016). MSC: 65M70 35Q53 65M15 65M12 65M60 65M06 PDFBibTeX XMLCite \textit{S. Kutluay} et al., Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1603--1614 (2016; Zbl 1356.65230) Full Text: DOI
Ucar, Y.; Karaagac, B.; Esen, A. A new approach on numerical solutions of the improved Boussinesq type equation using quadratic B-spline Galerkin finite element method. (English) Zbl 1410.65381 Appl. Math. Comput. 270, 148-155 (2015). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{Y. Ucar} et al., Appl. Math. Comput. 270, 148--155 (2015; Zbl 1410.65381) Full Text: DOI
Esen, A.; Tasbozan, O.; Ucar, Y.; Yagmurlu, N. M. A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations. (English) Zbl 1342.80013 Tbil. Math. J. 8, No. 2, 181-193 (2015). MSC: 80M10 35R11 80M20 65N35 26A33 65D07 PDFBibTeX XMLCite \textit{A. Esen} et al., Tbil. Math. J. 8, No. 2, 181--193 (2015; Zbl 1342.80013) Full Text: DOI
Esen, A.; Ucar, Y.; Yagmurlu, M.; Tasbozan, O. Solving fractional diffusion and fractional diffusion-wave equations by Petrov-Galerkin finite element method. (English) Zbl 1369.65123 TWMS J. Appl. Eng. Math. 4, No. 2, 155-168 (2014). MSC: 65M60 34K05 35R11 65M15 65D07 PDFBibTeX XMLCite \textit{A. Esen} et al., TWMS J. Appl. Eng. Math. 4, No. 2, 155--168 (2014; Zbl 1369.65123)
Karakoc, Seydi Battal Gazi; Yagmurlu, Nuri Murat; Ucar, Yusuf Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines. (English) Zbl 1284.65142 Bound. Value Probl. 2013, Paper No. 27, 17 p. (2013). MSC: 65M70 65M60 65M12 35L75 65M15 PDFBibTeX XMLCite \textit{S. B. G. Karakoc} et al., Bound. Value Probl. 2013, Paper No. 27, 17 p. (2013; Zbl 1284.65142) Full Text: DOI
Kutluay, S.; Ucar, Y. Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines. (English) Zbl 1282.65120 Int. J. Comput. Math. 90, No. 11, 2353-2371 (2013). MSC: 65M60 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Kutluay} and \textit{Y. Ucar}, Int. J. Comput. Math. 90, No. 11, 2353--2371 (2013; Zbl 1282.65120) Full Text: DOI
Kutluay, S.; Ucar, Y. Numerical solutions of the coupled Burgers equation by the Galerkin quadratic B-spline finite element method. (English) Zbl 1278.65153 Math. Methods Appl. Sci. 36, No. 17, 2403-2415 (2013). MSC: 65M60 65D07 35Q53 PDFBibTeX XMLCite \textit{S. Kutluay} and \textit{Y. Ucar}, Math. Methods Appl. Sci. 36, No. 17, 2403--2415 (2013; Zbl 1278.65153) Full Text: DOI
Tasbozan, O.; Esen, A.; Yagmurlu, N. M.; Ucar, Y. A numerical solution to fractional diffusion equation for force-free case. (English) Zbl 1275.65063 Abstr. Appl. Anal. 2013, Article ID 187383, 6 p. (2013). MSC: 65M60 35R11 35K05 65M70 PDFBibTeX XMLCite \textit{O. Tasbozan} et al., Abstr. Appl. Anal. 2013, Article ID 187383, 6 p. (2013; Zbl 1275.65063) Full Text: DOI
Esen, Alaattin; Ucar, Yusuf; Yagmurlu, Nuri; Tasbozan, Orkun A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations. (English) Zbl 1266.65026 Math. Model. Anal. 18, No. 2, 260-273 (2013). MSC: 65D07 65M60 35R11 26A33 65M15 PDFBibTeX XMLCite \textit{A. Esen} et al., Math. Model. Anal. 18, No. 2, 260--273 (2013; Zbl 1266.65026) Full Text: DOI
Kutluay, Selcuk; Ucar, Yusuf A quadratic B-spline Galerkin approach for solving a coupled KdV equation. (English) Zbl 1267.65133 Math. Model. Anal. 18, No. 1, 103-121 (2013). MSC: 65M60 65M12 35Q53 PDFBibTeX XMLCite \textit{S. Kutluay} and \textit{Y. Ucar}, Math. Model. Anal. 18, No. 1, 103--121 (2013; Zbl 1267.65133) Full Text: DOI
Karakoc, S. Battal Gazi; Ucar, Yusuf; Yagmurlu, N. Murat Different linearization techniques for the numerical solution of the MEW equation. (English) Zbl 1272.65076 Selçuk J. Appl. Math. 13, No. 2, 43-62 (2012). MSC: 65M60 35L75 65M70 65M12 PDFBibTeX XMLCite \textit{S. B. G. Karakoc} et al., Selçuk J. Appl. Math. 13, No. 2, 43--62 (2012; Zbl 1272.65076)