Roul, Pradip A fourth order numerical method based on B-spline functions for pricing Asian options. (English) Zbl 1446.65133 Comput. Math. Appl. 80, No. 3, 504-521 (2020). MSC: 65M70 65M06 65N35 65D07 65M12 91G20 91G60 35Q91 PDF BibTeX XML Cite \textit{P. Roul}, Comput. Math. Appl. 80, No. 3, 504--521 (2020; Zbl 1446.65133) Full Text: DOI
Tok-Onarcan, Aysun; Adar, Nihat; Dag, Idiris Wave simulations of Gray-Scott reaction-diffusion system. (English) Zbl 1427.65137 Math. Methods Appl. Sci. 42, No. 16, 5566-5581 (2019). MSC: 65L60 35K57 42A10 65D07 PDF BibTeX XML Cite \textit{A. Tok-Onarcan} et al., Math. Methods Appl. Sci. 42, No. 16, 5566--5581 (2019; Zbl 1427.65137) Full Text: DOI
Allouche, H.; Tazdayte, A.; Tigma, K. Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation. (English) Zbl 1416.65215 Mediterr. J. Math. 16, No. 3, Paper No. 72, 27 p. (2019). MSC: 65L10 34B16 41A15 41A21 65D07 PDF BibTeX XML Cite \textit{H. Allouche} et al., Mediterr. J. Math. 16, No. 3, Paper No. 72, 27 p. (2019; Zbl 1416.65215) Full Text: DOI
Roul, Pradip; Thula, Kiran; Goura, VMK Prasad An optimal sixth-order quartic B-spline collocation method for solving Bratu-type and Lane-Emden-type problems. (English) Zbl 1416.65235 Math. Methods Appl. Sci. 42, No. 8, 2613-2630 (2019). MSC: 65L60 65L10 34B16 PDF BibTeX XML Cite \textit{P. Roul} et al., Math. Methods Appl. Sci. 42, No. 8, 2613--2630 (2019; Zbl 1416.65235) Full Text: DOI
Irk, Dursun; Keskin Yildiz, Pınar; Zorşahin Görgülü, Melis Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation. (English) Zbl 1417.65172 Turk. J. Math. 43, No. 1, 112-125 (2019). MSC: 65M60 76B25 65D07 PDF BibTeX XML Cite \textit{D. Irk} et al., Turk. J. Math. 43, No. 1, 112--125 (2019; Zbl 1417.65172) Full Text: DOI
Shali, Jafar Ahmadi; Haghighi, Ahmadreza; Asghary, Nasim; Soleymani, Elham Convergence of integro quartic and sextic B-spline interpolation. (English) Zbl 1413.41004 Sahand Commun. Math. Anal. 10, No. 1, 97-108 (2018). MSC: 41A05 41A15 PDF BibTeX XML Cite \textit{J. A. Shali} et al., Sahand Commun. Math. Anal. 10, No. 1, 97--108 (2018; Zbl 1413.41004) Full Text: DOI
Roul, Pradip; Thula, Kiran A new high-order numerical method for solving singular two-point boundary value problems. (English) Zbl 1453.65175 J. Comput. Appl. Math. 343, 556-574 (2018). MSC: 65L10 65L60 34B16 65L20 PDF BibTeX XML Cite \textit{P. Roul} and \textit{K. Thula}, J. Comput. Appl. Math. 343, 556--574 (2018; Zbl 1453.65175) Full Text: DOI
Zhu, Yuan-Peng; Han, Xu-Li A class of spline curves with four local shape parameters. (English) Zbl 1382.65049 Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 979-988 (2017). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{Y.-P. Zhu} and \textit{X.-L. Han}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 979--988 (2017; Zbl 1382.65049) Full Text: DOI
Mustafa, Ghulam; Hameed, Rabia Families of univariate and bivariate subdivision schemes originated from quartic B-spline. (English) Zbl 1381.65015 Adv. Comput. Math. 43, No. 5, 1131-1161 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D17 65D07 65D10 PDF BibTeX XML Cite \textit{G. Mustafa} and \textit{R. Hameed}, Adv. Comput. Math. 43, No. 5, 1131--1161 (2017; Zbl 1381.65015) Full Text: DOI
Zarebnia, M.; Parvaz, R. A collocation method for the Kuramoto-Sivashinsky equation using B-spline. (English) Zbl 1369.41014 Nonlinear Stud. 24, No. 2, 273-283 (2017). MSC: 41A15 65N35 PDF BibTeX XML Cite \textit{M. Zarebnia} and \textit{R. Parvaz}, Nonlinear Stud. 24, No. 2, 273--283 (2017; Zbl 1369.41014) Full Text: Link
Lang, Feng-Gong; Xu, Xiao-Ping An enhanced quartic B-spline method for a class of non-linear fifth-order boundary value problems. (English) Zbl 1349.34260 Mediterr. J. Math. 13, No. 6, 4481-4496 (2016). MSC: 34K10 34K28 65D07 PDF BibTeX XML Cite \textit{F.-G. Lang} and \textit{X.-P. Xu}, Mediterr. J. Math. 13, No. 6, 4481--4496 (2016; Zbl 1349.34260) Full Text: DOI
Bae, Sung Chul; Ahn, Young Joon Approximation order of \(C^3\) quartic B-spline approximation of circular arc. (English) Zbl 1347.65040 J. Korean Soc. Ind. Appl. Math. 20, No. 2, 151-161 (2016). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{S. C. Bae} and \textit{Y. J. Ahn}, J. Korean Soc. Ind. Appl. Math. 20, No. 2, 151--161 (2016; Zbl 1347.65040) Full Text: DOI Link
Zhanlav, T.; Mijiddorj, R. On local integro quartic splines. (English) Zbl 1410.65040 Appl. Math. Comput. 269, 301-307 (2015). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{T. Zhanlav} and \textit{R. Mijiddorj}, Appl. Math. Comput. 269, 301--307 (2015; Zbl 1410.65040) Full Text: DOI
Saka, Bülent A quartic B-spline collocation method for solving the nonlinear Schrödinger equation. (English) Zbl 1342.35353 Appl. Comput. Math. 14, No. 1, 75-86 (2015). MSC: 35Q55 35Q51 65D07 65M70 PDF BibTeX XML Cite \textit{B. Saka}, Appl. Comput. Math. 14, No. 1, 75--86 (2015; Zbl 1342.35353) Full Text: Link
Karakoc, S. Battal Gazi; Geyikli, Turabi; Bashan, Ali A numerical solution of the modified regularized long wave (MRLW) equation using quartic B-splines. (English) Zbl 1308.65167 TWMS J. Appl. Eng. Math. 3, No. 2, 231-244 (2013). MSC: 65M60 35L75 65M12 PDF BibTeX XML Cite \textit{S. B. G. Karakoc} et al., TWMS J. Appl. Eng. Math. 3, No. 2, 231--244 (2013; Zbl 1308.65167)
Rostami, Sobhan; Shojaee, Saeed; Moeinadini, Ali A parabolic acceleration time integration method for structural dynamics using quartic B-spline functions. (English) Zbl 1254.65021 Appl. Math. Modelling 36, No. 11, 5162-5182 (2012). MSC: 65D07 70-08 PDF BibTeX XML Cite \textit{S. Rostami} et al., Appl. Math. Modelling 36, No. 11, 5162--5182 (2012; Zbl 1254.65021) Full Text: DOI
Lang, Feng-Gong; Xu, Xiao-Ping On integro quartic spline interpolation. (English) Zbl 1248.65018 J. Comput. Appl. Math. 236, No. 17, 4214-4226 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D05 65D07 PDF BibTeX XML Cite \textit{F.-G. Lang} and \textit{X.-P. Xu}, J. Comput. Appl. Math. 236, No. 17, 4214--4226 (2012; Zbl 1248.65018) Full Text: DOI
Szilvási-Nagy, Márta; Szilvia Béla B-spline patches fitting on surfaces and triangular meshes. (English) Zbl 1259.65030 KoG 15, 17-24 (2011). MSC: 65D17 65D07 65D10 PDF BibTeX XML Cite \textit{M. Szilvási-Nagy} and \textit{Szilvia Béla}, KoG 15, 17--24 (2011; Zbl 1259.65030)
Lang, Feng-Gong; Xu, Xiao-Ping Quartic B-spline collocation method for fifth order boundary value problems. (English) Zbl 1228.65115 Computing 92, No. 4, 365-378 (2011). MSC: 65L10 65L60 34B15 34B05 65L20 PDF BibTeX XML Cite \textit{F.-G. Lang} and \textit{X.-P. Xu}, Computing 92, No. 4, 365--378 (2011; Zbl 1228.65115) Full Text: DOI
Dehghan, Mehdi; Fakhar-Izadi, Farhad The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves. (English) Zbl 1219.65106 Math. Comput. Modelling 53, No. 9-10, 1865-1877 (2011). MSC: 65M70 35Q53 76U05 76M25 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{F. Fakhar-Izadi}, Math. Comput. Modelling 53, No. 9--10, 1865--1877 (2011; Zbl 1219.65106) Full Text: DOI
Han, Xuli A class of general quartic spline curves with shape parameters. (English) Zbl 1221.65040 Comput. Aided Geom. Des. 28, No. 3, 151-163 (2011). Reviewer: Jong Hyuk Park (Ulsan) MSC: 65D07 41A15 65D17 65D05 PDF BibTeX XML Cite \textit{X. Han}, Comput. Aided Geom. Des. 28, No. 3, 151--163 (2011; Zbl 1221.65040) Full Text: DOI
Zhang, Taofeng; Sun, Jianan; Tao, Na; Chen, Jiyu; Shi, Yuren Numerical solutions of Kuramoto-Sivashinsky equations by a quartic B-spline Galerkin finite element method. (Chinese. English summary) Zbl 1240.65302 J. Lanzhou Jiaotong Univ., Nat. Sci. 29, No. 6, 172-177 (2010). MSC: 65M60 35Q35 PDF BibTeX XML Cite \textit{T. Zhang} et al., J. Lanzhou Jiaotong Univ., Nat. Sci. 29, No. 6, 172--177 (2010; Zbl 1240.65302)
Saka, Bülent; Dağ, İdris Quartic B-spline Galerkin approach to the numerical solution of the KdVB equation. (English) Zbl 1175.65112 Appl. Math. Comput. 215, No. 2, 746-758 (2009). MSC: 65M60 35Q53 35Q51 PDF BibTeX XML Cite \textit{B. Saka} and \textit{İ. Dağ}, Appl. Math. Comput. 215, No. 2, 746--758 (2009; Zbl 1175.65112) Full Text: DOI
Liu, Xingxia; Sun, Jianan; Dou, Fuquan; Liu, Wanhai Galerkin quartic B-spline finite element method for solving KdV equation. (Chinese. English summary) Zbl 1199.65334 J. Northwest Norm. Univ., Nat. Sci. 44, No. 4, 66-70 (2008). MSC: 65M60 35Q53 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Northwest Norm. Univ., Nat. Sci. 44, No. 4, 66--70 (2008; Zbl 1199.65334)
Wang, Yan; Tan, Jieqing Quartic C-curves with given tangent polygons. (Chinese. English summary) Zbl 1199.68455 J. Hefei Univ. Technol., Nat. Sci. 31, No. 12, 2053-2058 (2008). MSC: 68U05 65D18 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Tan}, J. Hefei Univ. Technol., Nat. Sci. 31, No. 12, 2053--2058 (2008; Zbl 1199.68455)
Saka, Bülent; Dağ, İdris A numerical solution of the RLW equation by Galerkin method using quartic B-splines. (English) Zbl 1156.65085 Commun. Numer. Methods Eng. 24, No. 11, 1339-1361 (2008). MSC: 65M60 35L75 PDF BibTeX XML Cite \textit{B. Saka} and \textit{İ. Dağ}, Commun. Numer. Methods Eng. 24, No. 11, 1339--1361 (2008; Zbl 1156.65085) Full Text: DOI
Li, Chongjun; Wang, Renhong The multivariate quartic NURBS surfaces. (English) Zbl 1048.65017 J. Comput. Appl. Math. 163, No. 1, 155-164 (2004). MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{C. Li} and \textit{R. Wang}, J. Comput. Appl. Math. 163, No. 1, 155--164 (2004; Zbl 1048.65017) Full Text: DOI
Wu, Hongyi; Zhu, Gongqin Modifiable quartic and quintic curves with shape-parameters. (English) Zbl 0994.65008 Numer. Math., J. Chin. Univ. 10, No. 1, 9-19 (2001). MSC: 65D17 PDF BibTeX XML Cite \textit{H. Wu} and \textit{G. Zhu}, Numer. Math., J. Chin. Univ. 10, No. 1, 9--19 (2001; Zbl 0994.65008)
Wu, Hongyi A class of \(C^3\)-continuous \(B\)-type spline curves and their interpolation and approximation properties. (Chinese. English summary) Zbl 1014.41008 Acta Math. Appl. Sin. 22, No. 1, 1-9 (1999). Reviewer: Ying Guang Shi (Beijing) MSC: 41A15 65D07 PDF BibTeX XML Cite \textit{H. Wu}, Acta Math. Appl. Sin. 22, No. 1, 1--9 (1999; Zbl 1014.41008)
Wagner, Michael G. Planar rational \(B\)-spline motions. (English) Zbl 0817.65016 Comput.-Aided Des. 27, No. 2, 129-137 (1995). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 70B10 68U07 PDF BibTeX XML Cite \textit{M. G. Wagner}, Comput.-Aided Des. 27, No. 2, 129--137 (1995; Zbl 0817.65016) Full Text: DOI
Barry, P. J. A unimodality property of quartic \(B\)-splines. (English) Zbl 0828.41005 Laurent, Pierre-Jean (ed.) et al., Curves and surfaces in geometric design. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 19-26 (1994). MSC: 41A15 PDF BibTeX XML Cite \textit{P. J. Barry}, in: Curves and surfaces in geometric design. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 19--26 (1994; Zbl 0828.41005)
Eck, Matthias; Lasser, Dieter B-spline-Bézier representation of geometric spline curves: Quartics and quintics. (English) Zbl 0762.65004 Comput. Math. Appl. 23, No. 11, 23-39 (1992). Reviewer: E.Neuman (Carbondale) MSC: 65D17 65D07 PDF BibTeX XML Cite \textit{M. Eck} and \textit{D. Lasser}, Comput. Math. Appl. 23, No. 11, 23--39 (1992; Zbl 0762.65004) Full Text: DOI
Chui, Charles K.; Wang, Renhong Spaces of bivariate cubic and quartic splines on type-1 triangulations. (English) Zbl 0597.41013 J. Math. Anal. Appl. 101, 540-554 (1984). MSC: 41A15 PDF BibTeX XML Cite \textit{C. K. Chui} and \textit{R. Wang}, J. Math. Anal. Appl. 101, 540--554 (1984; Zbl 0597.41013) Full Text: DOI