Choudhary, Renu; Kumar, Devendra Collocation-based numerical simulation of fractional order Allen-Cahn equation. (English) Zbl 07796548 J. Math. Chem. 62, No. 1, 145-168 (2024). MSC: 65L05 35R11 34K37 65D07 65M12 65M70 65D07 PDFBibTeX XMLCite \textit{R. Choudhary} and \textit{D. Kumar}, J. Math. Chem. 62, No. 1, 145--168 (2024; Zbl 07796548) Full Text: DOI
Choudhary, Renu; Kumar, Devendra Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic \(B\)-splines. (English) Zbl 1524.35684 Int. J. Comput. Math. 100, No. 7, 1512-1531 (2023). MSC: 35R11 34K37 PDFBibTeX XMLCite \textit{R. Choudhary} and \textit{D. Kumar}, Int. J. Comput. Math. 100, No. 7, 1512--1531 (2023; Zbl 1524.35684) Full Text: DOI
Choudhary, Renu; Kumar, Devendra; Singh, Satpal Second-order convergent scheme for time-fractional partial differential equations with a delay in time. (English) Zbl 07643849 J. Math. Chem. 61, No. 1, 21-46 (2023). MSC: 65-XX 26A33 65D07 34K37 65M12 65M70 35R11 PDFBibTeX XMLCite \textit{R. Choudhary} et al., J. Math. Chem. 61, No. 1, 21--46 (2023; Zbl 07643849) Full Text: DOI
Ahmadinia, M.; Safari, Z. Numerical solution of singularly perturbed boundary value problems by improved least squares method. (English) Zbl 1377.65092 J. Comput. Appl. Math. 331, 156-165 (2018). MSC: 65L10 65L11 34E15 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{M. Ahmadinia} and \textit{Z. Safari}, J. Comput. Appl. Math. 331, 156--165 (2018; Zbl 1377.65092) Full Text: DOI
Roman, Fabio; Manni, Carla; Speleers, Hendrik Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. (English) Zbl 1361.65049 Numer. Math. 135, No. 1, 169-216 (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L10 15A18 15B05 65L60 34B05 PDFBibTeX XMLCite \textit{F. Roman} et al., Numer. Math. 135, No. 1, 169--216 (2017; Zbl 1361.65049) Full Text: DOI Link
Briol, François-Xavier; Cockayne, Jon; Teymur, Onur; Yoo, William Weimin; Schober, Michael; Hennig, Philipp Contributed discussion on article by Chkrebtii, Campbell, Calderhead and Girolami. (English) Zbl 1357.62106 Bayesian Anal. 11, No. 4, 1285-1293 (2016). MSC: 62F15 65C60 65C05 34K99 35R99 PDFBibTeX XMLCite \textit{F.-X. Briol} et al., Bayesian Anal. 11, No. 4, 1285--1293 (2016; Zbl 1357.62106) Full Text: DOI arXiv Euclid
de Suarez, Oscar Alfredo Garcia; Rossi, Rodrigo; Altafini, Carlos Roberto; Ávila da Silva, Cláudio R. On the numerical determination of eigenvalues/eigenvectors using a high regularity finite element method. (English) Zbl 1428.74089 Appl. Math. Modelling 39, No. 1, 396-413 (2015). MSC: 74H15 34L16 74S05 PDFBibTeX XMLCite \textit{O. A. G. de Suarez} et al., Appl. Math. Modelling 39, No. 1, 396--413 (2015; Zbl 1428.74089) Full Text: DOI
Yazdani, A.; Gharbavi, S. B-spline finite element method for solving linear system of second-order boundary value problems. (English) Zbl 1415.34047 Casp. J. Math. Sci. 3, No. 2, 227-232 (2014). MSC: 34B05 80M10 PDFBibTeX XMLCite \textit{A. Yazdani} and \textit{S. Gharbavi}, Casp. J. Math. Sci. 3, No. 2, 227--232 (2014; Zbl 1415.34047) Full Text: Link
Sun, Jiachang Multi-neighboring grids schemes for solving PDE eigen-problems. (English) Zbl 1306.65273 Sci. China, Math. 56, No. 12, 2677-2700 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N35 35P15 65L15 34L16 PDFBibTeX XMLCite \textit{J. Sun}, Sci. China, Math. 56, No. 12, 2677--2700 (2013; Zbl 1306.65273) Full Text: DOI
Fukuda, Naohiro; Kinoshita, Tamotu; Kubo, Takayuki On the Galerkin-wavelet method for higher-order differential equations. (English) Zbl 1277.65064 Bull. Korean Math. Soc. 50, No. 3, 963-982 (2013). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L60 34B05 65L10 65T60 PDFBibTeX XMLCite \textit{N. Fukuda} et al., Bull. Korean Math. Soc. 50, No. 3, 963--982 (2013; Zbl 1277.65064) Full Text: DOI Link
Gupta, Y.; Kumar, M. Anthology of spline based numerical techniques for singularly perturbed boundary value problems. (English) Zbl 1246.65128 Int. J. Pure Appl. Math. 74, No. 4, 437-454 (2012). MSC: 65L11 65L60 65-02 65L10 34B15 65D07 PDFBibTeX XMLCite \textit{Y. Gupta} and \textit{M. Kumar}, Int. J. Pure Appl. Math. 74, No. 4, 437--454 (2012; Zbl 1246.65128) Full Text: Link
Viswanadham, K. N. S. Kasi; Krishna, P. Murali; Koneru, Rao S. Numerical solutions of fourth order boundary value problems by Galerkin method with quintic B-splines. (English) Zbl 1215.65135 Int. J. Nonlinear Sci. 10, No. 2, 222-230 (2010). MSC: 65L10 65L60 65L70 34B05 34B15 PDFBibTeX XMLCite \textit{K. N. S. K. Viswanadham} et al., Int. J. Nonlinear Sci. 10, No. 2, 222--230 (2010; Zbl 1215.65135)
Pop, Daniel N. A collocation method using cubic \(B\)-splines functions for solving second order linear value problems with conditions inside the interval \([0,1]\). (English) Zbl 1224.65182 Stud. Univ. Babeș-Bolyai, Math. 55, No. 2, 177-188 (2010). MSC: 65L10 34B05 65L60 PDFBibTeX XMLCite \textit{D. N. Pop}, Stud. Univ. Babeș-Bolyai, Math. 55, No. 2, 177--188 (2010; Zbl 1224.65182)
Rashidinia, Jalil; Ghasemi, M.; Jalilian, R. An \(O(h^6)\) numerical solution of general nonlinear fifth-order two point boundary value problems. (English) Zbl 1209.65079 Numer. Algorithms 55, No. 4, 403-428 (2010). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L10 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{J. Rashidinia} et al., Numer. Algorithms 55, No. 4, 403--428 (2010; Zbl 1209.65079) Full Text: DOI
Abukhaled, Marwan; Khuri, S. A.; Sayfy, Ali A B-spline collocation approach for the solution of a class of boundary value problems. (English) Zbl 1200.41007 Int. J. Numer. Methods Appl. 3, No. 1, 49-63 (2010). MSC: 41A15 34B15 PDFBibTeX XMLCite \textit{M. Abukhaled} et al., Int. J. Numer. Methods Appl. 3, No. 1, 49--63 (2010; Zbl 1200.41007) Full Text: Link
Loghmani, G. B.; Ahmadinia, M. Numerical solution of singularly perturbed boundary value problems based on optimal control strategy. (English) Zbl 1200.65068 Acta Appl. Math. 112, No. 1, 69-78 (2010). MSC: 65L10 34B05 34E15 65L60 PDFBibTeX XMLCite \textit{G. B. Loghmani} and \textit{M. Ahmadinia}, Acta Appl. Math. 112, No. 1, 69--78 (2010; Zbl 1200.65068) Full Text: DOI
Mošová, Vratislava Numerical solution of boundary value problems by means of B-splines. (English) Zbl 1201.65136 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 14. Proceedings of the seminar, DolníMaxov, Czech Republic, June 1–6, 2008. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-55-4). 157-163 (2008). MSC: 65L60 65L10 34B05 PDFBibTeX XMLCite \textit{V. Mošová}, in: Programs and algorithms of numerical mathematics 14. Proceedings of the seminar, Dolní\ Maxov, Czech Republic, June 1--6, 2008. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 157--163 (2008; Zbl 1201.65136)
Bosner, Tina; Rogina, Mladen Collocation by singular splines. (English) Zbl 1178.65093 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 217-227 (2008). MSC: 65L60 34B16 65L10 PDFBibTeX XMLCite \textit{T. Bosner} and \textit{M. Rogina}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 217--227 (2008; Zbl 1178.65093) Full Text: DOI
Loghmani, G. B. Application of least square method to arbitrary-order problems with separated boundary conditions. (English) Zbl 1168.65043 J. Comput. Appl. Math. 222, No. 2, 500-510 (2008). Reviewer: J. B. Butler jun. (Portland) MSC: 65L10 65L60 34B05 34B15 65L20 PDFBibTeX XMLCite \textit{G. B. Loghmani}, J. Comput. Appl. Math. 222, No. 2, 500--510 (2008; Zbl 1168.65043) Full Text: DOI
Radunović, Desanka Multiresolution exponential B-splines and singularly perturbed boundary problem. (English) Zbl 1139.65053 Numer. Algorithms 47, No. 2, 191-210 (2008). MSC: 65L10 34B05 34E15 65L60 65T60 PDFBibTeX XMLCite \textit{D. Radunović}, Numer. Algorithms 47, No. 2, 191--210 (2008; Zbl 1139.65053) Full Text: DOI
Viswanadham, K. N. S. Kasi Galerkin method for solving a class of singular perturbation problems with \(b\)-splines. (English) Zbl 1152.65454 Int. J. Log. Based Intell. Syst. 1, No. 1-2, 1-13 (2007). MSC: 65L10 65L60 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{K. N. S. K. Viswanadham}, Int. J. Log. Based Intell. Syst. 1, No. 1--2, 1--13 (2007; Zbl 1152.65454)
Viswanadham, K. N. S. Kasi Numerical solution of some singular boundary value problems by Galerkin method with B-splines. (English) Zbl 1148.65063 Int. J. Sci. Comput. 1, No. 2, 105-113 (2007). MSC: 65L10 34B05 65L60 PDFBibTeX XMLCite \textit{K. N. S. K. Viswanadham}, Int. J. Sci. Comput. 1, No. 2, 105--113 (2007; Zbl 1148.65063)
Apaydin, Gökhan; Seker, Selim; Ari, Niyazi Weighted extended B-splines for one-dimensional electromagnetic problems. (English) Zbl 1122.65372 Appl. Math. Comput. 190, No. 2, 1125-1135 (2007). MSC: 65L10 34B05 65L60 78A25 PDFBibTeX XMLCite \textit{G. Apaydin} et al., Appl. Math. Comput. 190, No. 2, 1125--1135 (2007; Zbl 1122.65372) Full Text: DOI
Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato B-spline linear multistep methods and their continuous extensions. (English) Zbl 1128.65057 SIAM J. Numer. Anal. 44, No. 5, 1954-1973 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L20 65L60 65L05 34A34 PDFBibTeX XMLCite \textit{F. Mazzia} et al., SIAM J. Numer. Anal. 44, No. 5, 1954--1973 (2006; Zbl 1128.65057) Full Text: DOI
Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato BS linear multistep methods on non-uniform meshes. (English) Zbl 1120.65090 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 1, 131-144 (2006). Reviewer: R. Militaru (Craiova) MSC: 65L10 65L06 34B15 65L50 PDFBibTeX XMLCite \textit{F. Mazzia} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 1, 131--144 (2006; Zbl 1120.65090)
Caglar, Nazan; Caglar, Hikmet B-spline solution of singular boundary value problems. (English) Zbl 1107.65062 Appl. Math. Comput. 182, No. 2, 1509-1513 (2006). MSC: 65L10 34B05 34C05 PDFBibTeX XMLCite \textit{N. Caglar} and \textit{H. Caglar}, Appl. Math. Comput. 182, No. 2, 1509--1513 (2006; Zbl 1107.65062) Full Text: DOI
Nikolopoulos, L. A. A. A finite element approach for the continuum spectrum of the Dirac radial equation. (English) Zbl 1073.65073 J. Math. Chem. 37, No. 3, 203-210 (2005). MSC: 65L15 34L16 34L40 81V05 PDFBibTeX XMLCite \textit{L. A. A. Nikolopoulos}, J. Math. Chem. 37, No. 3, 203--210 (2005; Zbl 1073.65073) Full Text: DOI
Nikolopoulos, L. A. A. A numerical basis for the accurate representation of the continuum spectrum of atomic Hamiltonians. (English) Zbl 1073.65072 J. Math. Chem. 37, No. 3, 191-199 (2005). MSC: 65L15 34L16 34L40 34M60 PDFBibTeX XMLCite \textit{L. A. A. Nikolopoulos}, J. Math. Chem. 37, No. 3, 191--199 (2005; Zbl 1073.65072) Full Text: DOI
Caglar, N.; Caglar, H.; Cagal, B. Spline solution of nonlinear beam problems. (English) Zbl 1064.65061 J. Concr. Appl. Math. 1, No. 3, 253-258 (2003). MSC: 65L10 34B15 74K10 65L60 74S25 PDFBibTeX XMLCite \textit{N. Caglar} et al., J. Concr. Appl. Math. 1, No. 3, 253--258 (2003; Zbl 1064.65061)
Tasci, Fatih On the approximative solution of boundary value problems by collocation. (English) Zbl 1047.65062 Far East J. Appl. Math. 12, No. 1, 11-20 (2003). MSC: 65L60 65L10 34B15 PDFBibTeX XMLCite \textit{F. Tasci}, Far East J. Appl. Math. 12, No. 1, 11--20 (2003; Zbl 1047.65062)
Costantini, Paolo; Kvasov, Boris I.; Manni, Carla On discrete hyperbolic tension splines. (English) Zbl 0951.65013 Adv. Comput. Math. 11, No. 4, 331-354 (1999). Reviewer: Jacek Gilewicz (Marseille) MSC: 65D07 34B10 39A70 41A15 41A29 PDFBibTeX XMLCite \textit{P. Costantini} et al., Adv. Comput. Math. 11, No. 4, 331--354 (1999; Zbl 0951.65013) Full Text: DOI
Çaglar, H. N.; Çaglar, S. H.; Twizell, E. H. The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. (English) Zbl 0941.65073 Appl. Math. Lett. 12, No. 5, 25-30 (1999). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{H. N. Çaglar} et al., Appl. Math. Lett. 12, No. 5, 25--30 (1999; Zbl 0941.65073) Full Text: DOI
Caglar, H. N.; Caglar, S. H.; Twizell, E. H. The numerical solution of third-order boundary-value problems with fourth-degree \(B\)-spline functions. (English) Zbl 0929.65048 Int. J. Comput. Math. 71, No. 3, 373-381 (1999). Reviewer: M.Calvo (Zaragoza) MSC: 65L10 65L20 65L60 34B05 34B15 PDFBibTeX XMLCite \textit{H. N. Caglar} et al., Int. J. Comput. Math. 71, No. 3, 373--381 (1999; Zbl 0929.65048) Full Text: DOI
Yi, Xuming; Ye, Biquan; Sun, Jianhua; Shen, Yuantong Numerical detection of boundary layer with wavelet. (Chinese. English summary) Zbl 0921.65055 J. Wuhan Univ., Nat. Sci. Ed. 44, No. 1, 24-28 (1998). MSC: 65L10 34B05 34C05 PDFBibTeX XMLCite \textit{X. Yi} et al., J. Wuhan Univ., Nat. Sci. Ed. 44, No. 1, 24--28 (1998; Zbl 0921.65055)
Žitňan, Peter The Rayleigh-Ritz method still competitive. (English) Zbl 0822.65053 J. Comput. Appl. Math. 54, No. 3, 297-306 (1994). Reviewer: A.L.Andrew (Bundoora) MSC: 65L15 65L70 65L60 34L15 34L40 81Q05 PDFBibTeX XMLCite \textit{P. Žitňan}, J. Comput. Appl. Math. 54, No. 3, 297--306 (1994; Zbl 0822.65053) Full Text: DOI
Mühlig, Heiner Parameter identification for differential equations by means of \(B\)-splines. (Parameteridentifikation bei Differentialgleichungen mit Hilfe von B- Splines.) (German) Zbl 0765.65073 Wiss. Z. Tech. Univ. Dres. 41, No. 5, 3-6 (1992). Reviewer: R.Lamour (Berlin) MSC: 65L05 34A55 34A34 PDFBibTeX XMLCite \textit{H. Mühlig}, Wiss. Z. Tech. Univ. Dres. 41, No. 5, 3--6 (1992; Zbl 0765.65073)
Gregory, John; Sarker, Tejandra; Zeman, Marvin Higher order discretization methods for \(y''=f(x,y,y')\). (English) Zbl 0664.65079 J. Math. Anal. Appl. 136, No. 1, 141-156 (1988). Reviewer: T.Mitsui MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{J. Gregory} et al., J. Math. Anal. Appl. 136, No. 1, 141--156 (1988; Zbl 0664.65079) Full Text: DOI
Swartz, Blair Conditioning collocation. (English) Zbl 0639.65048 SIAM J. Numer. Anal. 25, No. 1, 124-147 (1988). Reviewer: N.Parhi MSC: 65L10 65L05 65D07 34B15 PDFBibTeX XMLCite \textit{B. Swartz}, SIAM J. Numer. Anal. 25, No. 1, 124--147 (1988; Zbl 0639.65048) Full Text: DOI
Fadeev, S. I. On the solution of a system of transcendental equations with a parameter by the Newton method. (Russian) Zbl 0618.65039 Vychisl. Sist. 108, 78-93 (1985). Reviewer: J.Hřebíček MSC: 65H10 65L10 34B15 65L60 PDFBibTeX XMLCite \textit{S. I. Fadeev}, Vychisl. Sist. 108, 78--93 (1985; Zbl 0618.65039)
Neuman, E. On generalized symmetric means and Stirling numbers of the second kind. (English) Zbl 0604.26015 Zastosow. Mat. 18, 645-656 (1985). Reviewer: J.Aczél MSC: 26D15 26A51 34K99 05A17 PDFBibTeX XMLCite \textit{E. Neuman}, Zastosow. Mat. 18, 645--656 (1985; Zbl 0604.26015)
Xu, Yuesheng Recurrence formula for B-splines with respect to a class of differential operators. (English) Zbl 0588.65056 Appl. Math. Mech., Engl. Ed. 6, 277-281 (1985). Reviewer: T.Mitsui MSC: 65L10 65D07 34B05 PDFBibTeX XMLCite \textit{Y. Xu}, Appl. Math. Mech., Engl. Ed. 6, 277--281 (1985; Zbl 0588.65056) Full Text: DOI
Dunn, Mark H.; Hariharan, S. I. Numerical computations on one-dimensional inverse scattering problems. (English) Zbl 0541.65056 J. Comput. Phys. 55, 157-165 (1984). MSC: 65L15 78A45 34L99 34A55 PDFBibTeX XMLCite \textit{M. H. Dunn} and \textit{S. I. Hariharan}, J. Comput. Phys. 55, 157--165 (1984; Zbl 0541.65056) Full Text: DOI Link
Bakiev, R. R. A method for approximate solution of the Cauchy problem by means of cubic splines. (Russian) Zbl 0622.65055 Dokl. Akad. Nauk UzSSR 1982, No. 7, 9-11 (1982). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{R. R. Bakiev}, Dokl. Akad. Nauk UzSSR 1982, No. 7, 9--11 (1982; Zbl 0622.65055)
Jia, Rongqing B-splines associated with a linear differential operator. II. (Chinese. English summary) Zbl 0566.41030 Math. Numer. Sin. 4, 264-271 (1982). MSC: 41A15 47E05 34A30 PDFBibTeX XMLCite \textit{R. Jia}, Math. Numer. Sin. 4, 264--271 (1982; Zbl 0566.41030)
Jia, Rongqing B-splines associated with a linear differential operator. (Chinese. English summary) Zbl 0539.41009 Math. Numer. Sin. 4, 128-138 (1982). MSC: 41A15 47E05 34A34 PDFBibTeX XMLCite \textit{R. Jia}, Math. Numer. Sin. 4, 128--138 (1982; Zbl 0539.41009)
Labbe, Z. Fernando Collocation method applied to problems of boundary layer type. (Spanish. English summary) Zbl 0531.65048 Scientia 46, 61-71 (1981). MSC: 65L10 34B15 34E15 PDFBibTeX XMLCite \textit{Z. F. Labbe}, Scientia 46, 61--71 (1981; Zbl 0531.65048)
Ascher, U.; Christiansen, J.; Russell, R. D. A collocation solver for mixed order systems of boundary value problems. (English) Zbl 0407.65035 Math. Comput. 33, 659-679 (1979). MSC: 65L10 65D07 65-04 34B10 68Q25 PDFBibTeX XMLCite \textit{U. Ascher} et al., Math. Comput. 33, 659--679 (1979; Zbl 0407.65035) Full Text: DOI