Borri, Alessandro; Carravetta, Francesco; Palumbo, Pasquale Quadratized Taylor series methods for ODE numerical integration. (English) Zbl 07736280 Appl. Math. Comput. 458, Article ID 128237, 18 p. (2023). MSC: 65Lxx 34Axx 65Dxx PDFBibTeX XMLCite \textit{A. Borri} et al., Appl. Math. Comput. 458, Article ID 128237, 18 p. (2023; Zbl 07736280) Full Text: DOI
Lóczi, Lajos Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function. (English) Zbl 1510.41012 Appl. Math. Comput. 433, Article ID 127406, 22 p. (2022). MSC: 41A58 33B10 33F05 PDFBibTeX XMLCite \textit{L. Lóczi}, Appl. Math. Comput. 433, Article ID 127406, 22 p. (2022; Zbl 1510.41012) Full Text: DOI
Feng, Qiwei; Han, Bin; Minev, Peter A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients. (English) Zbl 1510.76109 Appl. Math. Comput. 431, Article ID 127314, 24 p. (2022). MSC: 76M20 65N06 35J15 41A58 76S05 PDFBibTeX XMLCite \textit{Q. Feng} et al., Appl. Math. Comput. 431, Article ID 127314, 24 p. (2022; Zbl 1510.76109) Full Text: DOI arXiv
Chu, Yu-Ming; Ullah, Saif; Ali, Muzaher; Tuzzahrah, Ghulam Fatima; Munir, Taj Numerical investigation of Volterra integral equations of second kind using optimal homotopy asymptotic method. (English) Zbl 1510.65325 Appl. Math. Comput. 430, Article ID 127304, 14 p. (2022). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Y.-M. Chu} et al., Appl. Math. Comput. 430, Article ID 127304, 14 p. (2022; Zbl 1510.65325) Full Text: DOI
Izadi, Mohammad; Roul, Pradip Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications. (English) Zbl 1510.65260 Appl. Math. Comput. 429, Article ID 127226, 14 p. (2022). MSC: 65M70 35K57 41A10 41A58 PDFBibTeX XMLCite \textit{M. Izadi} and \textit{P. Roul}, Appl. Math. Comput. 429, Article ID 127226, 14 p. (2022; Zbl 1510.65260) Full Text: DOI
Georgiev, Svetlin G.; Erhan, İnci M. The Taylor series method and trapezoidal rule on time scales. (English) Zbl 1488.65169 Appl. Math. Comput. 378, Article ID 125200, 13 p. (2020). MSC: 65L05 34N05 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{İ. M. Erhan}, Appl. Math. Comput. 378, Article ID 125200, 13 p. (2020; Zbl 1488.65169) Full Text: DOI
Lima, F. N.; De Sousa, Jose Moreira Mathematical methods of diagonalization of quadratic forms applied to the study of stability of thermodynamic systems. (English) Zbl 1465.74006 Appl. Math. Comput. 378, Article ID 125176, 11 p. (2020). MSC: 74A15 74S99 80A17 PDFBibTeX XMLCite \textit{F. N. Lima} and \textit{J. M. De Sousa}, Appl. Math. Comput. 378, Article ID 125176, 11 p. (2020; Zbl 1465.74006) Full Text: DOI arXiv
Costarelli, D.; Krivoshein, A.; Skopina, M.; Vinti, G. Quasi-projection operators with applications to differential-difference expansions. (English) Zbl 1433.41010 Appl. Math. Comput. 363, Article ID 124623, 15 p. (2019). MSC: 41A58 41A25 41A63 65Q10 PDFBibTeX XMLCite \textit{D. Costarelli} et al., Appl. Math. Comput. 363, Article ID 124623, 15 p. (2019; Zbl 1433.41010) Full Text: DOI
Alvandi, Azizallah; Paripour, Mahmoud The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel. (English) Zbl 1429.65305 Appl. Math. Comput. 355, 151-160 (2019). MSC: 65R20 34K07 45J05 45G10 PDFBibTeX XMLCite \textit{A. Alvandi} and \textit{M. Paripour}, Appl. Math. Comput. 355, 151--160 (2019; Zbl 1429.65305) Full Text: DOI
Du, Mingjing; Qiao, Xiaohua; Wang, Biao; Wang, Yulan; Gao, Bo A novel method for numerical simulation of sand motion model in beach formation based on fractional Taylor-Jumarie series expansion and piecewise interpolation technique. (English) Zbl 1428.82082 Appl. Math. Comput. 347, 15-21 (2019). MSC: 82M99 82C22 35R11 PDFBibTeX XMLCite \textit{M. Du} et al., Appl. Math. Comput. 347, 15--21 (2019; Zbl 1428.82082) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E. Boosting the computation of the matrix exponential. (English) Zbl 1429.65093 Appl. Math. Comput. 340, 206-220 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 340, 206--220 (2019; Zbl 1429.65093) Full Text: DOI
Benjemaa, Mondher Taylor’s formula involving generalized fractional derivatives. (English) Zbl 1427.26002 Appl. Math. Comput. 335, 182-195 (2018). MSC: 26A24 26A33 34A08 41A58 44A15 45K05 PDFBibTeX XMLCite \textit{M. Benjemaa}, Appl. Math. Comput. 335, 182--195 (2018; Zbl 1427.26002) Full Text: DOI arXiv
Hueso, José L.; Martínez, Eulalia; Gupta, D. K.; Cevallos, Fabricio A note on “Convergence radius of Osada’s method under Hölder continuous condition”. (English) Zbl 1426.65066 Appl. Math. Comput. 321, 689-699 (2018). MSC: 65H05 65J15 41A58 37F10 37F50 PDFBibTeX XMLCite \textit{J. L. Hueso} et al., Appl. Math. Comput. 321, 689--699 (2018; Zbl 1426.65066) Full Text: DOI Link
Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio Two algorithms for computing the matrix cosine function. (English) Zbl 1426.65059 Appl. Math. Comput. 312, 66-77 (2017). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 312, 66--77 (2017; Zbl 1426.65059) Full Text: DOI Link
Ghosh, Suchismita; Deb, Anish; Sarkar, Gautam Taylor series approach for function approximation using ‘estimated’ higher derivatives. (English) Zbl 1410.41044 Appl. Math. Comput. 284, 89-101 (2016). MSC: 41A58 41A46 65D15 PDFBibTeX XMLCite \textit{S. Ghosh} et al., Appl. Math. Comput. 284, 89--101 (2016; Zbl 1410.41044) Full Text: DOI
Mishra, T. N.; Rai, K. N. Numerical solution of FSPL heat conduction equation for analysis of thermal propagation. (English) Zbl 1410.80020 Appl. Math. Comput. 273, 1006-1017 (2016). MSC: 80M20 65M06 80A20 PDFBibTeX XMLCite \textit{T. N. Mishra} and \textit{K. N. Rai}, Appl. Math. Comput. 273, 1006--1017 (2016; Zbl 1410.80020) Full Text: DOI
Gokmen, Elcin; Isik, Osman Rasit; Sezer, Mehmet Taylor collocation approach for delayed Lotka-Volterra predator-prey system. (English) Zbl 1410.65251 Appl. Math. Comput. 268, 671-684 (2015). MSC: 65L05 92D25 34K18 PDFBibTeX XMLCite \textit{E. Gokmen} et al., Appl. Math. Comput. 268, 671--684 (2015; Zbl 1410.65251) Full Text: DOI
Abad, A.; Barrio, R.; Marco-Buzunariz, M.; Rodríguez, M. Automatic implementation of the numerical Taylor series method: a Mathematica and Sage approach. (English) Zbl 1410.65243 Appl. Math. Comput. 268, 227-245 (2015). MSC: 65L05 PDFBibTeX XMLCite \textit{A. Abad} et al., Appl. Math. Comput. 268, 227--245 (2015; Zbl 1410.65243) Full Text: DOI
Liu, Suzhen; Song, Yongzhong; Zhou, Xiaojian Convergence radius of Halley’s method for multiple roots under center-Hölder continuous condition. (English) Zbl 1410.65165 Appl. Math. Comput. 265, 1011-1018 (2015). MSC: 65H05 41A58 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Comput. 265, 1011--1018 (2015; Zbl 1410.65165) Full Text: DOI
Phung-Duc, Tuan Asymptotic analysis for Markovian queues with two types of nonpersistent retrial customers. (English) Zbl 1410.90056 Appl. Math. Comput. 265, 768-784 (2015). MSC: 90B22 60K25 68M20 PDFBibTeX XMLCite \textit{T. Phung-Duc}, Appl. Math. Comput. 265, 768--784 (2015; Zbl 1410.90056) Full Text: DOI arXiv
Kim, Kyunghoon; Jang, Bongsoo A novel semi-analytical approach for solving nonlinear Volterra integro-differential equations. (English) Zbl 1410.65496 Appl. Math. Comput. 263, 25-35 (2015). MSC: 65R20 45J05 34K07 45D05 PDFBibTeX XMLCite \textit{K. Kim} and \textit{B. Jang}, Appl. Math. Comput. 263, 25--35 (2015; Zbl 1410.65496) Full Text: DOI
Bülbül, Berna; Sezer, Mehmet A numerical approach for solving generalized Abel-type nonlinear differential equations. (English) Zbl 1410.65244 Appl. Math. Comput. 262, 169-177 (2015). MSC: 65L05 PDFBibTeX XMLCite \textit{B. Bülbül} and \textit{M. Sezer}, Appl. Math. Comput. 262, 169--177 (2015; Zbl 1410.65244) Full Text: DOI
El-Ajou, Ahmad; Abu Arqub, Omar; Al-Smadi, Mohammed A general form of the generalized Taylor’s formula with some applications. (English) Zbl 1338.40007 Appl. Math. Comput. 256, 851-859 (2015). MSC: 40A25 PDFBibTeX XMLCite \textit{A. El-Ajou} et al., Appl. Math. Comput. 256, 851--859 (2015; Zbl 1338.40007) Full Text: DOI
Fernández, Francisco M. On the homotopy perturbation method for Boussinesq-like equations. (English) Zbl 1410.35017 Appl. Math. Comput. 230, 208-210 (2014). MSC: 35C07 35Q53 35B10 65L05 PDFBibTeX XMLCite \textit{F. M. Fernández}, Appl. Math. Comput. 230, 208--210 (2014; Zbl 1410.35017) Full Text: DOI arXiv Link
Yang, Changqing An efficient numerical method for solving Abel integral equation. (English) Zbl 1364.65301 Appl. Math. Comput. 227, 656-661 (2014). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{C. Yang}, Appl. Math. Comput. 227, 656--661 (2014; Zbl 1364.65301) Full Text: DOI
Mortici, Cristinel Sharp bounds for gamma function in terms of \(x^{x - 1}\). (English) Zbl 1338.33007 Appl. Math. Comput. 249, 278-285 (2014). MSC: 33B15 26A48 26D07 41A58 PDFBibTeX XMLCite \textit{C. Mortici}, Appl. Math. Comput. 249, 278--285 (2014; Zbl 1338.33007) Full Text: DOI
Chang, Shih-Hsiang New algorithms for Taylor coefficients of indefinite integrals and their applications. (English) Zbl 1338.41019 Appl. Math. Comput. 247, 872-879 (2014). MSC: 41A58 65Q30 PDFBibTeX XMLCite \textit{S.-H. Chang}, Appl. Math. Comput. 247, 872--879 (2014; Zbl 1338.41019) Full Text: DOI
Zhou, Xiaojian; Song, Yongzhong Convergence radius of Osada’s method under center-Hölder continuous condition. (English) Zbl 1336.65086 Appl. Math. Comput. 243, 809-816 (2014). MSC: 65H05 41A58 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{Y. Song}, Appl. Math. Comput. 243, 809--816 (2014; Zbl 1336.65086) Full Text: DOI
Xu, Ling A proportional differential control method for a time-delay system using the Taylor expansion approximation. (English) Zbl 1334.93125 Appl. Math. Comput. 236, 391-399 (2014). MSC: 93C80 65L99 41A58 PDFBibTeX XMLCite \textit{L. Xu}, Appl. Math. Comput. 236, 391--399 (2014; Zbl 1334.93125) Full Text: DOI
Huy, Vu Nhat; Ngô, Quoc-Anh A new Ostrowski-Grüss inequality involving \(3n\) knots. (English) Zbl 1334.26047 Appl. Math. Comput. 235, 272-282 (2014). MSC: 26D15 41A17 PDFBibTeX XMLCite \textit{V. N. Huy} and \textit{Q.-A. Ngô}, Appl. Math. Comput. 235, 272--282 (2014; Zbl 1334.26047) Full Text: DOI
Chang, Shih-Hsiang Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science. (English) Zbl 1337.65095 Appl. Math. Comput. 235, 110-117 (2014). MSC: 65L11 65L10 34B16 PDFBibTeX XMLCite \textit{S.-H. Chang}, Appl. Math. Comput. 235, 110--117 (2014; Zbl 1337.65095) Full Text: DOI
López, José L.; Pérez Sinusía, Ester New series expansions for the confluent hypergeometric function \(M(a,b,z)\). (English) Zbl 1334.33019 Appl. Math. Comput. 235, 26-31 (2014). MSC: 33C15 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. Pérez Sinusía}, Appl. Math. Comput. 235, 26--31 (2014; Zbl 1334.33019) Full Text: DOI
Wang, Xinwei; Duan, Guohui Discrete singular convolution element method for static, buckling and free vibration analysis of beam structures. (English) Zbl 1298.74239 Appl. Math. Comput. 234, 36-51 (2014). MSC: 74S05 65L10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Duan}, Appl. Math. Comput. 234, 36--51 (2014; Zbl 1298.74239) Full Text: DOI
Karamanli, A.; Mugan, A. Strong form meshless implementation of Taylor series method. (English) Zbl 1291.65227 Appl. Math. Comput. 219, No. 17, 9069-9080 (2013). MSC: 65L10 34B05 35J05 65N30 65N15 65L70 65N12 65L20 PDFBibTeX XMLCite \textit{A. Karamanli} and \textit{A. Mugan}, Appl. Math. Comput. 219, No. 17, 9069--9080 (2013; Zbl 1291.65227) Full Text: DOI
Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro; Defez, Emilio Efficient computation of the matrix cosine. (English) Zbl 1288.65059 Appl. Math. Comput. 219, No. 14, 7575-7585 (2013). MSC: 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 219, No. 14, 7575--7585 (2013; Zbl 1288.65059) Full Text: DOI
Salkuyeh, Davod Khojasteh; Bastani, Mehdi Solution of the complex modified Korteweg-de Vries equation by the projected differential transform method. (English) Zbl 1284.35379 Appl. Math. Comput. 219, No. 10, 5105-5112 (2013). MSC: 35Q53 35A15 PDFBibTeX XMLCite \textit{D. K. Salkuyeh} and \textit{M. Bastani}, Appl. Math. Comput. 219, No. 10, 5105--5112 (2013; Zbl 1284.35379) Full Text: DOI
Xu, Qing-Hua; Xiao, Hai-Gen; Srivastava, H. M. A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems. (English) Zbl 1284.30009 Appl. Math. Comput. 218, No. 23, 11461-11465 (2012). MSC: 30C45 30C50 PDFBibTeX XMLCite \textit{Q.-H. Xu} et al., Appl. Math. Comput. 218, No. 23, 11461--11465 (2012; Zbl 1284.30009) Full Text: DOI
Bervillier, C. Status of the differential transformation method. (English) Zbl 1246.65107 Appl. Math. Comput. 218, No. 20, 10158-10170 (2012). MSC: 65L05 PDFBibTeX XMLCite \textit{C. Bervillier}, Appl. Math. Comput. 218, No. 20, 10158--10170 (2012; Zbl 1246.65107) Full Text: DOI arXiv
López, J. L.; Sinusía, Ester Pérez Two-point Taylor approximations of the solutions of two-dimensional boundary value problems. (English) Zbl 1245.65097 Appl. Math. Comput. 218, No. 18, 9107-9115 (2012). MSC: 65L10 35C05 35C10 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. P. Sinusía}, Appl. Math. Comput. 218, No. 18, 9107--9115 (2012; Zbl 1245.65097) Full Text: DOI
Burg, Clarence O. E. Derivative-based closed Newton-Cotes numerical quadrature. (English) Zbl 1246.65043 Appl. Math. Comput. 218, No. 13, 7052-7065 (2012). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{C. O. E. Burg}, Appl. Math. Comput. 218, No. 13, 7052--7065 (2012; Zbl 1246.65043) Full Text: DOI
Erbe, Lynn; Mert, Raziye; Peterson, Allan Spectral parameter power series for Sturm-Liouville equations on time scales. (English) Zbl 1245.34088 Appl. Math. Comput. 218, No. 14, 7671-7678 (2012). MSC: 34N05 34B24 34A25 PDFBibTeX XMLCite \textit{L. Erbe} et al., Appl. Math. Comput. 218, No. 14, 7671--7678 (2012; Zbl 1245.34088) Full Text: DOI
Abbasbandy, S.; Bervillier, C. Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. (English) Zbl 1234.34009 Appl. Math. Comput. 218, No. 5, 2178-2199 (2011). MSC: 34A25 34B15 34A45 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{C. Bervillier}, Appl. Math. Comput. 218, No. 5, 2178--2199 (2011; Zbl 1234.34009) Full Text: DOI arXiv
Xu, Shengqiang; Duan, Jinqiao A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions. (English) Zbl 1220.65007 Appl. Math. Comput. 217, No. 23, 9532-9542 (2011). MSC: 65C30 60H15 35R60 35C10 35Q56 60H35 35Q40 PDFBibTeX XMLCite \textit{S. Xu} and \textit{J. Duan}, Appl. Math. Comput. 217, No. 23, 9532--9542 (2011; Zbl 1220.65007) Full Text: DOI
Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F. Breaking the limits: The Taylor series method. (English) Zbl 1219.65064 Appl. Math. Comput. 217, No. 20, 7940-7954 (2011). MSC: 65L05 34A34 34A25 65L70 34-04 65Y15 PDFBibTeX XMLCite \textit{R. Barrio} et al., Appl. Math. Comput. 217, No. 20, 7940--7954 (2011; Zbl 1219.65064) Full Text: DOI
Liu, Jincun; Hou, Guolin Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method. (English) Zbl 1213.65131 Appl. Math. Comput. 217, No. 16, 7001-7008 (2011). MSC: 65M70 35Q53 35R11 PDFBibTeX XMLCite \textit{J. Liu} and \textit{G. Hou}, Appl. Math. Comput. 217, No. 16, 7001--7008 (2011; Zbl 1213.65131) Full Text: DOI
Prentice, J. S. C. Truncation and roundoff errors in three-point approximations of first and second derivatives. (English) Zbl 1207.65025 Appl. Math. Comput. 217, No. 9, 4576-4581 (2011). MSC: 65D25 PDFBibTeX XMLCite \textit{J. S. C. Prentice}, Appl. Math. Comput. 217, No. 9, 4576--4581 (2011; Zbl 1207.65025) Full Text: DOI
Gao, Zhen; Hesthaven, Jan S. On ANOVA expansions and strategies for choosing the anchor point. (English) Zbl 1206.65125 Appl. Math. Comput. 217, No. 7, 3274-3285 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A58 41A63 41A55 PDFBibTeX XMLCite \textit{Z. Gao} and \textit{J. S. Hesthaven}, Appl. Math. Comput. 217, No. 7, 3274--3285 (2010; Zbl 1206.65125) Full Text: DOI Link
Aydoğdu, Halil; Şenoğlu, Birdal; Kara, Mahmut Parameter estimation in geometric process with Weibull distribution. (English) Zbl 1200.62097 Appl. Math. Comput. 217, No. 6, 2657-2665 (2010). MSC: 62M09 62F12 65C05 PDFBibTeX XMLCite \textit{H. Aydoğdu} et al., Appl. Math. Comput. 217, No. 6, 2657--2665 (2010; Zbl 1200.62097) Full Text: DOI
Odibat, Zaid M. A study on the convergence of homotopy analysis method. (English) Zbl 1203.65105 Appl. Math. Comput. 217, No. 2, 782-789 (2010). Reviewer: Werner M. Seiler (Kassel) MSC: 65L05 41A58 34A25 34A34 65L70 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 217, No. 2, 782--789 (2010; Zbl 1203.65105) Full Text: DOI
Huy, Vu Nhat; Ngô, Quôc-Anh On an Iyengar-type inequality involving quadratures in \(n\) knots. (English) Zbl 1202.26030 Appl. Math. Comput. 217, No. 1, 289-294 (2010). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{V. N. Huy} and \textit{Q.-A. Ngô}, Appl. Math. Comput. 217, No. 1, 289--294 (2010; Zbl 1202.26030) Full Text: DOI
Asaithambi, Asai Numerical solution of the Burgers’ equation by automatic differentiation. (English) Zbl 1193.65154 Appl. Math. Comput. 216, No. 9, 2700-2708 (2010). MSC: 65M06 35Q53 68W30 65D25 PDFBibTeX XMLCite \textit{A. Asaithambi}, Appl. Math. Comput. 216, No. 9, 2700--2708 (2010; Zbl 1193.65154) Full Text: DOI
Jang, Ming-Jyi; Yeh, Yen-Liang; Chen, Chieh-Li; Yeh, Wei-Chih Differential transformation approach to thermal conductive problems with discontinuous boundary condition. (English) Zbl 1193.65175 Appl. Math. Comput. 216, No. 8, 2339-2350 (2010). MSC: 65M70 35K05 PDFBibTeX XMLCite \textit{M.-J. Jang} et al., Appl. Math. Comput. 216, No. 8, 2339--2350 (2010; Zbl 1193.65175) Full Text: DOI
Liu, Cheng-Shi The essence of the homotopy analysis method. (English) Zbl 1194.34010 Appl. Math. Comput. 216, No. 4, 1299-1303 (2010). MSC: 34A25 34A45 PDFBibTeX XMLCite \textit{C.-S. Liu}, Appl. Math. Comput. 216, No. 4, 1299--1303 (2010; Zbl 1194.34010) Full Text: DOI arXiv
van Gorder, Robert A. Computation of certain infinite series of the form \(\sum f(n)n^k \) for arbitrary real-valued \(k\). (English) Zbl 1177.65010 Appl. Math. Comput. 215, No. 3, 1209-1216 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 PDFBibTeX XMLCite \textit{R. A. van Gorder}, Appl. Math. Comput. 215, No. 3, 1209--1216 (2009; Zbl 1177.65010) Full Text: DOI
Yalcin, Hasan Serter; Arikoglu, Aytac; Ozkol, Ibrahim Free vibration analysis of circular plates by differential transformation method. (English) Zbl 1182.74116 Appl. Math. Comput. 212, No. 2, 377-386 (2009). Reviewer: Yuri N. Sankin (Ul’yanovsk) MSC: 74H45 74K20 74H15 74S30 PDFBibTeX XMLCite \textit{H. S. Yalcin} et al., Appl. Math. Comput. 212, No. 2, 377--386 (2009; Zbl 1182.74116) Full Text: DOI
López, José L.; Pérez Sinusía, Ester; Temme, Nico M. Multi-point Taylor approximations in one-dimensional linear boundary value problems. (English) Zbl 1158.65051 Appl. Math. Comput. 207, No. 2, 519-527 (2009). MSC: 65L10 PDFBibTeX XMLCite \textit{J. L. López} et al., Appl. Math. Comput. 207, No. 2, 519--527 (2009; Zbl 1158.65051) Full Text: DOI
Basu, Dhiman From third to fourth order variant of Newton’s method for simple roots. (English) Zbl 1147.65037 Appl. Math. Comput. 202, No. 2, 886-892 (2008). MSC: 65H05 PDFBibTeX XMLCite \textit{D. Basu}, Appl. Math. Comput. 202, No. 2, 886--892 (2008; Zbl 1147.65037) Full Text: DOI
Wu, Shanhe; Srivastava, H. M. A further refinement of a Jordan type inequality and its application. (English) Zbl 1142.26019 Appl. Math. Comput. 197, No. 2, 914-923 (2008). MSC: 26D15 PDFBibTeX XMLCite \textit{S. Wu} and \textit{H. M. Srivastava}, Appl. Math. Comput. 197, No. 2, 914--923 (2008; Zbl 1142.26019) Full Text: DOI
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat Generalized differential transform method: Application to differential equations of fractional order. (English) Zbl 1141.65092 Appl. Math. Comput. 197, No. 2, 467-477 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 26A33 34K05 34K07 45J05 65L05 65L20 PDFBibTeX XMLCite \textit{Z. Odibat} et al., Appl. Math. Comput. 197, No. 2, 467--477 (2008; Zbl 1141.65092) Full Text: DOI
Ramos, J. I. Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators. (English) Zbl 1135.65344 Appl. Math. Comput. 196, No. 2, 483-493 (2008). MSC: 65L05 34A34 34C10 65L60 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 196, No. 2, 483--493 (2008; Zbl 1135.65344) Full Text: DOI
Noor, Muhammad Aslam Some iterative methods free from second derivatives for nonlinear equations. (English) Zbl 1193.65070 Appl. Math. Comput. 192, No. 1, 101-106 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{M. A. Noor}, Appl. Math. Comput. 192, No. 1, 101--106 (2007; Zbl 1193.65070) Full Text: DOI
Noor, Muhammad Aslam New classes of iterative methods for nonlinear equations. (English) Zbl 1193.65069 Appl. Math. Comput. 191, No. 1, 128-131 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{M. A. Noor}, Appl. Math. Comput. 191, No. 1, 128--131 (2007; Zbl 1193.65069) Full Text: DOI
Noor, Muhammad Aslam; Gupta, Vijay Modified Householder iterative method free from second derivatives for nonlinear equations. (English) Zbl 1122.65343 Appl. Math. Comput. 190, No. 2, 1701-1706 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{M. A. Noor} and \textit{V. Gupta}, Appl. Math. Comput. 190, No. 2, 1701--1706 (2007; Zbl 1122.65343) Full Text: DOI
Noor, Khalida Inayat; Noor, Muhammad Aslam; Momani, Shaher Modified Householder iterative method for nonlinear equations. (English) Zbl 1122.65341 Appl. Math. Comput. 190, No. 2, 1534-1539 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{K. I. Noor} et al., Appl. Math. Comput. 190, No. 2, 1534--1539 (2007; Zbl 1122.65341) Full Text: DOI
Youssef, I. K.; El-Arabawy, H. A. Picard iteration algorithm combined with Gauss-Seidel technique for initial value problems. (English) Zbl 1122.65369 Appl. Math. Comput. 190, No. 1, 345-355 (2007). MSC: 65L05 34A34 65L06 68W30 65L20 PDFBibTeX XMLCite \textit{I. K. Youssef} and \textit{H. A. El-Arabawy}, Appl. Math. Comput. 190, No. 1, 345--355 (2007; Zbl 1122.65369) Full Text: DOI
Asaithambi, Asai Numerical solution of Stefan problems using automatic differentiation. (English) Zbl 1122.65090 Appl. Math. Comput. 189, No. 1, 943-948 (2007). MSC: 65M70 35K05 80A22 35R35 PDFBibTeX XMLCite \textit{A. Asaithambi}, Appl. Math. Comput. 189, No. 1, 943--948 (2007; Zbl 1122.65090) Full Text: DOI
Ertürk, Vedat Suat; Momani, Shaher Comparing numerical methods for solving fourth-order boundary value problems. (English) Zbl 1119.65066 Appl. Math. Comput. 188, No. 2, 1963-1968 (2007). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{V. S. Ertürk} and \textit{S. Momani}, Appl. Math. Comput. 188, No. 2, 1963--1968 (2007; Zbl 1119.65066) Full Text: DOI
Boyd, John P. A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series. (English) Zbl 1121.65049 Appl. Math. Comput. 188, No. 2, 1780-1789 (2007). MSC: 65H05 41A50 41A10 41A58 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Math. Comput. 188, No. 2, 1780--1789 (2007; Zbl 1121.65049) Full Text: DOI
Darania, P.; Ebadian, Ali A method for the numerical solution of the integro-differential equations. (English) Zbl 1121.65127 Appl. Math. Comput. 188, No. 1, 657-668 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{P. Darania} and \textit{A. Ebadian}, Appl. Math. Comput. 188, No. 1, 657--668 (2007; Zbl 1121.65127) Full Text: DOI
Tremblay, R.; Fugère, B.-J. The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions. (English) Zbl 1116.33001 Appl. Math. Comput. 187, No. 1, 507-529 (2007). Reviewer: Ravinder Krishen Raina (Udaipur) MSC: 26A33 30B10 33C99 PDFBibTeX XMLCite \textit{R. Tremblay} and \textit{B. J. Fugère}, Appl. Math. Comput. 187, No. 1, 507--529 (2007; Zbl 1116.33001) Full Text: DOI
Rabbani, M.; Maleknejad, K.; Aghazadeh, N. Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method. (English) Zbl 1114.65371 Appl. Math. Comput. 187, No. 2, 1143-1146 (2007). MSC: 65R20 45F05 PDFBibTeX XMLCite \textit{M. Rabbani} et al., Appl. Math. Comput. 187, No. 2, 1143--1146 (2007; Zbl 1114.65371) Full Text: DOI
Shidfar, A.; Fakhraie, M.; Pourgholi, R.; Ebrahimi, M. A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem. (English) Zbl 1173.65336 Appl. Math. Comput. 184, No. 2, 308-315 (2007). MSC: 65M32 35K55 35R30 65M06 65M60 65M12 PDFBibTeX XMLCite \textit{A. Shidfar} et al., Appl. Math. Comput. 184, No. 2, 308--315 (2007; Zbl 1173.65336) Full Text: DOI
Neher, Markus Verified integration of linear \(n\)th order ODEs using large steps. (English) Zbl 1114.65082 Appl. Math. Comput. 186, No. 1, 879-890 (2007). MSC: 65L05 34A30 65G40 PDFBibTeX XMLCite \textit{M. Neher}, Appl. Math. Comput. 186, No. 1, 879--890 (2007; Zbl 1114.65082) Full Text: DOI
Aminataei, A.; Hosseini, S. S. The comparison of the stability of the Adomian decomposition method with numerical methods of equation solution. (English) Zbl 1114.65077 Appl. Math. Comput. 186, No. 1, 665-669 (2007). MSC: 65L05 65L20 34A30 65L10 34B05 65L06 65R20 45D05 PDFBibTeX XMLCite \textit{A. Aminataei} and \textit{S. S. Hosseini}, Appl. Math. Comput. 186, No. 1, 665--669 (2007; Zbl 1114.65077) 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
Maleknejad, K.; Arzhang, A. Numerical solution of the Fredholm singular integro-differential equation with Cauchy kernel by using Taylor-series expansion and Galerkin method. (English) Zbl 1107.65118 Appl. Math. Comput. 182, No. 1, 888-897 (2006). MSC: 65R20 45J05 45E05 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{A. Arzhang}, Appl. Math. Comput. 182, No. 1, 888--897 (2006; Zbl 1107.65118) 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
Asaithambi, Asai A shooting method for nonlinear heat transfer using automatic differentiation. (English) Zbl 1106.65064 Appl. Math. Comput. 180, No. 1, 264-269 (2006). MSC: 65L10 34B16 PDFBibTeX XMLCite \textit{A. Asaithambi}, Appl. Math. Comput. 180, No. 1, 264--269 (2006; Zbl 1106.65064) 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
Maleknejad, K.; Aghazadeh, N.; Rabbani, M. Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method. (English) Zbl 1093.65124 Appl. Math. Comput. 175, No. 2, 1229-1234 (2006). MSC: 65R20 45F05 45F15 PDFBibTeX XMLCite \textit{K. Maleknejad} et al., Appl. Math. Comput. 175, No. 2, 1229--1234 (2006; Zbl 1093.65124) Full Text: DOI
Arikoglu, Aytac; Ozkol, Ibrahim Solution of boundary value problems for integro-differential equations by using differential transform method. (English) Zbl 1090.65145 Appl. Math. Comput. 168, No. 2, 1145-1158 (2005). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. Arikoglu} and \textit{I. Ozkol}, Appl. Math. Comput. 168, No. 2, 1145--1158 (2005; Zbl 1090.65145) 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
Liu, Kuo-Chi; Lin, Chien-Nan; Wang, Jiun-Shen Numerical solutions for the hyperbolic heat conduction problems in a layered solid cylinder with radiation surface. (English) Zbl 1070.65103 Appl. Math. Comput. 164, No. 3, 805-820 (2005). MSC: 65M70 35L15 35A22 80A20 80M25 44A10 PDFBibTeX XMLCite \textit{K.-C. Liu} et al., Appl. Math. Comput. 164, No. 3, 805--820 (2005; Zbl 1070.65103) Full Text: DOI
Barrio, Roberto Performance of the Taylor series method for ODEs/DAEs. (English) Zbl 1067.65063 Appl. Math. Comput. 163, No. 2, 525-545 (2005). MSC: 65L05 65L80 34A09 34A34 PDFBibTeX XMLCite \textit{R. Barrio}, Appl. Math. Comput. 163, No. 2, 525--545 (2005; Zbl 1067.65063) Full Text: DOI
Ramos, J. I. Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations. (English) Zbl 1067.65065 Appl. Math. Comput. 163, No. 3, 1143-1163 (2005). MSC: 65L05 34A34 34E15 65L50 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 163, No. 3, 1143--1163 (2005; Zbl 1067.65065) Full Text: DOI
Maleknejad, K.; Aghazadeh, N. Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method. (English) Zbl 1061.65145 Appl. Math. Comput. 161, No. 3, 915-922 (2005). MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{N. Aghazadeh}, Appl. Math. Comput. 161, No. 3, 915--922 (2005; Zbl 1061.65145) Full Text: DOI
Asaithambi, Asai Using automatic differentiation to solve concentration dependent diffusion problems. (English) Zbl 1063.65095 Appl. Math. Comput. 159, No. 3, 641-650 (2004). MSC: 65M20 35K55 65M06 35R35 PDFBibTeX XMLCite \textit{A. Asaithambi}, Appl. Math. Comput. 159, No. 3, 641--650 (2004; Zbl 1063.65095) Full Text: DOI
Odekunle, M. R.; Oye, N. D.; Adee, S. O.; Ademiluyi, R. A. A class of inverse Runge-Kutta schemes for the numerical integration of singular problems. (English) Zbl 1061.65065 Appl. Math. Comput. 158, No. 1, 149-158 (2004). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. R. Odekunle} et al., Appl. Math. Comput. 158, No. 1, 149--158 (2004; Zbl 1061.65065) Full Text: DOI
Kaya, Doǧan A reliable method for the numerical solution of the kinetics problems. (English) Zbl 1057.65042 Appl. Math. Comput. 156, No. 1, 261-270 (2004). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 156, No. 1, 261--270 (2004; Zbl 1057.65042) Full Text: DOI
Faghihi, F.; Hadad, K. Numerical solutions of coupled differential equations and initial values using Maple software. (English) Zbl 1055.65081 Appl. Math. Comput. 155, No. 2, 563-572 (2004). MSC: 65L05 68W30 65L06 34A34 65Y15 PDFBibTeX XMLCite \textit{F. Faghihi} and \textit{K. Hadad}, Appl. Math. Comput. 155, No. 2, 563--572 (2004; Zbl 1055.65081) Full Text: DOI
Abdel-Halim Hassan, I. H. Differential transformation technique for solving higher-order initial value problems. (English) Zbl 1054.65069 Appl. Math. Comput. 154, No. 2, 299-311 (2004). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{I. H. Abdel-Halim Hassan}, Appl. Math. Comput. 154, No. 2, 299--311 (2004; Zbl 1054.65069) Full Text: DOI
Keşan, Cenk Taylor polynomial solutions of second order linear partial differential equations. (English) Zbl 1055.35032 Appl. Math. Comput. 152, No. 1, 29-41 (2004). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35C05 35C10 35G15 PDFBibTeX XMLCite \textit{C. Keşan}, Appl. Math. Comput. 152, No. 1, 29--41 (2004; Zbl 1055.35032) Full Text: DOI
Wu, Xin-Yuan; Xia, Jian-Lin New vector forms of elemental functions with Taylor series. (English) Zbl 1043.65082 Appl. Math. Comput. 141, No. 2-3, 307-312 (2003). Reviewer: Lubomír Bakule (Praha) MSC: 65L05 34A30 65F10 PDFBibTeX XMLCite \textit{X.-Y. Wu} and \textit{J.-L. Xia}, Appl. Math. Comput. 141, No. 2--3, 307--312 (2003; Zbl 1043.65082) Full Text: DOI
Shiraishi, Fumihide; Voit, Eberhard O. Solution of a two-point boundary value model of immobilized enzyme reactions, using an \(S\)-system-based root-finding method. (English) Zbl 1016.92013 Appl. Math. Comput. 127, No. 2-3, 289-310 (2002). MSC: 92C45 65L10 92C40 34C60 PDFBibTeX XMLCite \textit{F. Shiraishi} and \textit{E. O. Voit}, Appl. Math. Comput. 127, No. 2--3, 289--310 (2002; Zbl 1016.92013) Full Text: DOI
Shiraishi, F.; Takeuchi, H.; Hasegawa, T.; Nagasue, H. A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems. (English) Zbl 1023.65064 Appl. Math. Comput. 127, No. 1, 103-123 (2002). MSC: 65L05 92D25 70F05 34A34 65L50 65L20 PDFBibTeX XMLCite \textit{F. Shiraishi} et al., Appl. Math. Comput. 127, No. 1, 103--123 (2002; Zbl 1023.65064) Full Text: DOI
Nedialkov, N. S.; Jackson, K. R.; Corliss, G. F. Validated solutions of initial value problems for ordinary differential equations. (English) Zbl 0934.65073 Appl. Math. Comput. 105, No. 1, 21-68 (1999). Reviewer: D.Petcu (Timişoara) MSC: 65L05 65L50 34A34 65G20 65G40 PDFBibTeX XMLCite \textit{N. S. Nedialkov} et al., Appl. Math. Comput. 105, No. 1, 21--68 (1999; Zbl 0934.65073) Full Text: DOI
Wazwaz, Abdul-Majid A comparison between Adomian decomposition method and Taylor series method in the series solutions. (English) Zbl 0943.65084 Appl. Math. Comput. 97, No. 1, 37-44 (1998). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 97, No. 1, 37--44 (1998; Zbl 0943.65084) Full Text: DOI
Chen, Chieh-Li; Liu, Yung-Chin Differential transformation technique for steady nonlinear heat conduction problems. (English) Zbl 0943.65082 Appl. Math. Comput. 95, No. 2-3, 155-164 (1998). MSC: 65L05 34A34 35J65 PDFBibTeX XMLCite \textit{C.-L. Chen} and \textit{Y.-C. Liu}, Appl. Math. Comput. 95, No. 2--3, 155--164 (1998; Zbl 0943.65082) Full Text: DOI
Frankel, Jay I.; Choudhury, S. Roy Some new observations on the classical logistic equation with heredity. (English) Zbl 0853.92016 Appl. Math. Comput. 58, No. 2-3, 275-308 (1993). MSC: 92D25 34K99 PDFBibTeX XMLCite \textit{J. I. Frankel} and \textit{S. R. Choudhury}, Appl. Math. Comput. 58, No. 2--3, 275--308 (1993; Zbl 0853.92016) Full Text: DOI
Cicci, David A.; Hall, Roger L. Optimal weighting of a priori statistics in linear estimation theory. (English) Zbl 0776.62081 Appl. Math. Comput. 57, No. 2-3, 221-231 (1993). MSC: 62N99 62P99 62J05 70M20 PDFBibTeX XMLCite \textit{D. A. Cicci} and \textit{R. L. Hall}, Appl. Math. Comput. 57, No. 2--3, 221--231 (1993; Zbl 0776.62081) Full Text: DOI