Yazdani, Allahbakhsh; Kiasari, Morteza Mohammadnezhad A Chebyshev pseudo spectral method for solving fractional differential equations. (English) Zbl 1452.65377 Proyecciones 39, No. 3, 711-720 (2020). MSC: 65N35 65M70 34A08 65D25 PDF BibTeX XML Cite \textit{A. Yazdani} and \textit{M. M. Kiasari}, Proyecciones 39, No. 3, 711--720 (2020; Zbl 1452.65377) Full Text: DOI
Soleymani, Fazlollah Pricing multi-asset option problems: a Chebyshev pseudo-spectral method. (English) Zbl 1419.91654 BIT 59, No. 1, 243-270 (2019). MSC: 91G60 65M70 91G20 PDF BibTeX XML Cite \textit{F. Soleymani}, BIT 59, No. 1, 243--270 (2019; Zbl 1419.91654) Full Text: DOI
Hessari, Peyman Pseudo-spectral least squares method for linear elasticity. (English) Zbl 1434.65295 Comput. Math. Appl. 76, No. 6, 1356-1371 (2018). MSC: 65N35 74B05 35Q74 74S25 PDF BibTeX XML Cite \textit{P. Hessari}, Comput. Math. Appl. 76, No. 6, 1356--1371 (2018; Zbl 1434.65295) Full Text: DOI
Shivanian, Elyas; Abbasbandy, Saeid Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method. (English) Zbl 1412.65055 Int. J. Nonlinear Anal. Appl. 9, No. 2, 47-57 (2018). MSC: 65L10 34L05 PDF BibTeX XML Cite \textit{E. Shivanian} and \textit{S. Abbasbandy}, Int. J. Nonlinear Anal. Appl. 9, No. 2, 47--57 (2018; Zbl 1412.65055) Full Text: DOI
Ghaznavi, M.; Skandari, M. H. Noori An efficient pseudo-spectral method for nonsmooth dynamical systems. (English) Zbl 1397.65118 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 635-646 (2018). MSC: 65L60 PDF BibTeX XML Cite \textit{M. Ghaznavi} and \textit{M. H. N. Skandari}, Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 635--646 (2018; Zbl 1397.65118) Full Text: DOI
Skandari, M. H. Noori; Ghaznavi, M. A numerical method for solving shortest path problems. (English) Zbl 1388.49035 Calcolo 55, No. 1, Paper No. 14, 18 p. (2018). MSC: 49M37 49J15 65N35 PDF BibTeX XML Cite \textit{M. H. N. Skandari} and \textit{M. Ghaznavi}, Calcolo 55, No. 1, Paper No. 14, 18 p. (2018; Zbl 1388.49035) Full Text: DOI
Noori Skandari, M. H.; Ghaznavi, M. Chebyshev pseudo-spectral method for Bratu’s problem. (English) Zbl 1448.65255 Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 913-921 (2017). MSC: 65N35 65N25 65K05 65N12 65N15 90C30 PDF BibTeX XML Cite \textit{M. H. Noori Skandari} and \textit{M. Ghaznavi}, Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 913--921 (2017; Zbl 1448.65255) Full Text: DOI
Alzahrani, Ebraheem O.; Al-Aidarous, Eman S.; Younas, Arshad M. M.; Ahmad, Fayyaz; Ahmad, Shamshad; Ahmad, Shahid A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations. (English) Zbl 1379.65080 J. Nonlinear Sci. Appl. 9, No. 12, 6210-6227 (2016). MSC: 65M70 35F21 65M12 PDF BibTeX XML Cite \textit{E. O. Alzahrani} et al., J. Nonlinear Sci. Appl. 9, No. 12, 6210--6227 (2016; Zbl 1379.65080) Full Text: DOI Link
Ellahi, R.; Shivanian, E.; Abbasbandy, S.; Hayat, T. Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition. (English) Zbl 1356.76427 Int. J. Numer. Methods Heat Fluid Flow 26, No. 5, 1433-1445 (2016). MSC: 76W05 76A05 76M22 PDF BibTeX XML Cite \textit{R. Ellahi} et al., Int. J. Numer. Methods Heat Fluid Flow 26, No. 5, 1433--1445 (2016; Zbl 1356.76427) Full Text: DOI
Hessari, Peyman; Jang, Bongsoo Least squares spectral method for velocity-flux form of the coupled Stokes-Darcy equations. (English) Zbl 1338.65255 ETNA, Electron. Trans. Numer. Anal. 45, 160-182 (2016). MSC: 65N35 65N12 PDF BibTeX XML Cite \textit{P. Hessari} and \textit{B. Jang}, ETNA, Electron. Trans. Numer. Anal. 45, 160--182 (2016; Zbl 1338.65255) Full Text: EMIS
Fakhar-Izadi, Farhad; Dehghan, Mehdi A spectral element method using the modal basis and its application in solving second-order nonlinear partial differential equations. (English) Zbl 1307.65138 Math. Methods Appl. Sci. 38, No. 3, 478-504 (2015). MSC: 65M70 65M06 65M20 65T50 PDF BibTeX XML Cite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 38, No. 3, 478--504 (2015; Zbl 1307.65138) Full Text: DOI
Rashid, Abdur; Abbas, Muhammad; Ismail, Ahmad Izani Md.; Majid, Ahmad Abd Numerical solution of the coupled viscous Burgers equations by Chebyshev-Legendre pseudo-spectral method. (English) Zbl 1336.65177 Appl. Math. Comput. 245, 372-381 (2014). MSC: 65M70 PDF BibTeX XML Cite \textit{A. Rashid} et al., Appl. Math. Comput. 245, 372--381 (2014; Zbl 1336.65177) Full Text: DOI
Yang, Yin A Chebyshev pseudo-spectral method for a class of space fractional partial differential equations with variable coefficients. (English) Zbl 1324.65131 Chin. J. Eng. Math. 31, No. 5, 745-752 (2014). MSC: 65M70 65M06 35R11 PDF BibTeX XML Cite \textit{Y. Yang}, Chin. J. Eng. Math. 31, No. 5, 745--752 (2014; Zbl 1324.65131) Full Text: DOI
Khader, M. M.; Sweilam, N. H. On the approximate solutions for system of fractional integro-differential equations using Chebyshev pseudo-spectral method. (English) Zbl 1427.65419 Appl. Math. Modelling 37, No. 24, 9819-9828 (2013). MSC: 65R20 34K37 45J05 65M70 65M12 PDF BibTeX XML Cite \textit{M. M. Khader} and \textit{N. H. Sweilam}, Appl. Math. Modelling 37, No. 24, 9819--9828 (2013; Zbl 1427.65419) Full Text: DOI
Rostamy, Davood; Karimi, Kobra; Zabihi, Fateme; Alipour, Mohsen Numerical solution of electrodynamic flow by using pseudo-spectral collocation method. (English) Zbl 1301.76080 Vietnam J. Math. 41, No. 1, 43-49 (2013). MSC: 76W05 65L60 34A45 PDF BibTeX XML Cite \textit{D. Rostamy} et al., Vietnam J. Math. 41, No. 1, 43--49 (2013; Zbl 1301.76080) Full Text: DOI
Zhao, Tinggang; Wu, Yujiang; Ma, Heping Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation. (English) Zbl 1255.65185 J. Sci. Comput. 52, No. 3, 588-602 (2012). MSC: 65M70 PDF BibTeX XML Cite \textit{T. Zhao} et al., J. Sci. Comput. 52, No. 3, 588--602 (2012; Zbl 1255.65185) Full Text: DOI
Zhao, Tinggang; Li, Can; Zang, Zilong; Wu, Yujiang Chebyshev-Legendre pseudo-spectral method for the generalised Burgers-Fisher equation. (English) Zbl 1243.65126 Appl. Math. Modelling 36, No. 3, 1046-1056 (2012). MSC: 65M70 35Q53 PDF BibTeX XML Cite \textit{T. Zhao} et al., Appl. Math. Modelling 36, No. 3, 1046--1056 (2012; Zbl 1243.65126) Full Text: DOI
Abbasbandy, S.; Shivanian, E. Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method. (English) Zbl 1221.76189 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745-2752 (2011). MSC: 76S05 76M22 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745--2752 (2011; Zbl 1221.76189) Full Text: DOI
Chen, Hsin-Chu; Horng, Tzyy-Leng; Yang, Yu-Hsiang Reflexive decompositions for solving Poisson equation by Chebyshev pseudospectral method. (English) Zbl 1222.65129 Ladde, G. S. (ed.) et al., Proceedings of neural, parallel, and scientific computations. Vol. 4. Proceedings of the 4th international conference, Atlanta, GA, USA, August 11–14, 2010. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-05-2/pbk). 98-103 (2010). MSC: 65N35 35J05 65Y05 PDF BibTeX XML Cite \textit{H.-C. Chen} et al., in: Proceedings of neural, parallel, and scientific computations. Vol. 4. Proceedings of the 4th international conference, Atlanta, GA, USA, August 11--14, 2010. Atlanta, GA: Dynamic Publishers. 98--103 (2010; Zbl 1222.65129)
Sweilam, N. H.; Khader, M. M. A Chebyshev pseudo-spectral method for solving fractional-order integro-differential equations. (English) Zbl 1216.65187 ANZIAM J. 51, No. 4, 464-475 (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 26A33 45J05 PDF BibTeX XML Cite \textit{N. H. Sweilam} and \textit{M. M. Khader}, ANZIAM J. 51, No. 4, 464--475 (2010; Zbl 1216.65187) Full Text: DOI
Dehghan, Mehdi; Taleei, Ameneh Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. (English) Zbl 1195.65137 Numer. Methods Partial Differ. Equations 26, No. 4, 979-992 (2010). MSC: 65M70 35Q55 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{A. Taleei}, Numer. Methods Partial Differ. Equations 26, No. 4, 979--992 (2010; Zbl 1195.65137) Full Text: DOI
Ogundare, B. S. On the pseudo-spectral method of solving linear ordinary differential equations. (English) Zbl 1186.65108 J. Math. Stat. 5, No. 2, 136-140 (2009). MSC: 65L60 65L05 65L10 34A30 34B05 PDF BibTeX XML Cite \textit{B. S. Ogundare}, J. Math. Stat. 5, No. 2, 136--140 (2009; Zbl 1186.65108) Full Text: DOI Link
Shen, Jie; Wang, Li-Lian Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations. (English) Zbl 1173.65342 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3785-3797 (2007). MSC: 65M70 35L50 65M12 PDF BibTeX XML Cite \textit{J. Shen} and \textit{L.-L. Wang}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3785--3797 (2007; Zbl 1173.65342) Full Text: DOI
Traore, Aboubakari; Mampassi, Benjamin; Saley, Bisso A numerical approach of the sentinel method for distributed parameter systems. (English) Zbl 1154.65075 Cent. Eur. J. Math. 5, No. 4, 751-763 (2007). Reviewer: Kai Schneider (Marseille) MSC: 65M32 65M70 35K55 35R30 65M12 PDF BibTeX XML Cite \textit{A. Traore} et al., Cent. Eur. J. Math. 5, No. 4, 751--763 (2007; Zbl 1154.65075) Full Text: DOI
Pham, Chi-Tuong; Nore, Caroline; Brachet, Marc-Étienne Boundary layers and emitted excitations in nonlinear Schrödinger superflow past a disk. (English) Zbl 1078.35116 Physica D 210, No. 3-4, 203-226 (2005). MSC: 35Q55 82D50 76P05 65N35 PDF BibTeX XML Cite \textit{C.-T. Pham} et al., Physica D 210, No. 3--4, 203--226 (2005; Zbl 1078.35116) Full Text: DOI
Feng, Bao-Feng; Kawahara, Takuji Stationary travelling-wave solutions of an unstable KdV-Burgers equation. (English) Zbl 0943.35081 Physica D 137, No. 3-4, 228-236 (2000). MSC: 35Q53 37K05 65M70 PDF BibTeX XML Cite \textit{B.-F. Feng} and \textit{T. Kawahara}, Physica D 137, No. 3--4, 228--236 (2000; Zbl 0943.35081) Full Text: DOI
Heinrichs, Wilhelm High-order time splitting for the Stokes equations. (English) Zbl 0901.76056 J. Sci. Comput. 11, No. 4, 397-410 (1996). Reviewer: J.Siekmann (Essen) MSC: 76M25 76D07 65N35 PDF BibTeX XML Cite \textit{W. Heinrichs}, J. Sci. Comput. 11, No. 4, 397--410 (1996; Zbl 0901.76056) Full Text: DOI
Burrage, K.; Jackiewicz, Z.; Renaut, R. A. The performance of preconditioned waveform relaxation techniques for pseudospectral methods. (English) Zbl 0863.65063 Numer. Methods Partial Differ. Equations 12, No. 2, 245-263 (1996). Reviewer: J.Gilewicz (Marseille) MSC: 65M70 35K05 65L05 65Y05 65Y20 65F35 65M20 PDF BibTeX XML Cite \textit{K. Burrage} et al., Numer. Methods Partial Differ. Equations 12, No. 2, 245--263 (1996; Zbl 0863.65063) Full Text: DOI
Bayliss, Alvin; Garbey, Marc; Matkowsky, Bernard J. Adaptive pseudo-spectral domain decomposition and the approximation of multiple layers. (English) Zbl 0855.65105 J. Comput. Phys. 119, No. 1, 132-141 (1995). MSC: 65M55 35K55 65M70 PDF BibTeX XML Cite \textit{A. Bayliss} et al., J. Comput. Phys. 119, No. 1, 132--141 (1995; Zbl 0855.65105) Full Text: DOI
Ismail, I. A.; Gomaa, M. I. Accurate solution of the 1-D Helmholtz equation by expansion in Chebyshev polynomials. (English) Zbl 0823.65076 J. Math. Phys. Sci. 27, No. 3, 193-201 (1993). Reviewer: A.J.Meir (Auburn) MSC: 65L10 65L60 34B05 PDF BibTeX XML Cite \textit{I. A. Ismail} and \textit{M. I. Gomaa}, J. Math. Phys. Sci. 27, No. 3, 193--201 (1993; Zbl 0823.65076)
Xiang, Xinmin; Liu, Shujuan The Chebyshev pseudo-spectral method for the initial boundary value problem of the three-dimensional nonlinear generalized nerve transmission type pseudo-hyperbolic equation. (Chinese. English summary) Zbl 0782.65124 J. Nat. Sci. Heilongjiang Univ. 8, No. 3, 35-44 (1991). MSC: 65M70 65M15 35L70 35Q80 92C20 PDF BibTeX XML Cite \textit{X. Xiang} and \textit{S. Liu}, J. Nat. Sci. Heilongjiang Univ. 8, No. 3, 35--44 (1991; Zbl 0782.65124)
Bonazzola, Silvano; Marck, Jean-Alain A 1D exact treatment of shock waves within spectral methods in plane geometry. (English) Zbl 0738.76056 J. Comput. Phys. 97, No. 2, 535-552 (1991). MSC: 76M25 76L05 65N35 PDF BibTeX XML Cite \textit{S. Bonazzola} and \textit{J.-A. Marck}, J. Comput. Phys. 97, No. 2, 535--552 (1991; Zbl 0738.76056) Full Text: DOI
Mulholland, L. S.; Sloan, D. M. The effect of filtering on the pseudospectral solution of evolutionary partial differential equations. (English) Zbl 0735.65069 J. Comput. Phys. 96, No. 2, 369-390 (1991). Reviewer: J.Albrycht MSC: 65M70 65M12 35G10 35K25 35Q53 PDF BibTeX XML Cite \textit{L. S. Mulholland} and \textit{D. M. Sloan}, J. Comput. Phys. 96, No. 2, 369--390 (1991; Zbl 0735.65069) Full Text: DOI
Bayliss, A.; Gottlieb, D.; Matkowsky, B. J.; Minkoff, M. An adaptive pseudo-spectral method for reaction diffusion problems. (English) Zbl 0668.65092 J. Comput. Phys. 81, No. 2, 421-443 (1989). Reviewer: J.Vaníček MSC: 65N35 65N30 35K57 80A25 PDF BibTeX XML Cite \textit{A. Bayliss} et al., J. Comput. Phys. 81, No. 2, 421--443 (1989; Zbl 0668.65092) Full Text: DOI
Bayliss, A.; Matkowsky, B. J. Fronts, relaxation oscillations, and period doubling in solid fuel combustion. (English) Zbl 0616.65133 J. Comput. Phys. 71, 147-168 (1987). Reviewer: C.Schmidt-Lainé MSC: 65Z05 65N35 80A25 35Q99 35B32 PDF BibTeX XML Cite \textit{A. Bayliss} and \textit{B. J. Matkowsky}, J. Comput. Phys. 71, 147--168 (1987; Zbl 0616.65133) Full Text: DOI
Gottlieb, D.; Lustman, L.; Orszag, S. A. Spectral computations of one dimensional inviscid compressible flows. (English) Zbl 0561.76076 SIAM J. Sci. Stat. Comput. 2, 296-310 (1981). Reviewer: M.Thompson MSC: 76N10 76M99 65N35 35L65 PDF BibTeX XML Cite \textit{D. Gottlieb} et al., SIAM J. Sci. Stat. Comput. 2, 296--310 (1981; Zbl 0561.76076) Full Text: DOI