Zhang, Hui; Jiang, Xiaoyun; Zheng, Rumeng Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation. (English) Zbl 07202178 Numer. Algorithms 84, No. 2, 513-536 (2020). MSC: 65 PDF BibTeX XML Cite \textit{H. Zhang} et al., Numer. Algorithms 84, No. 2, 513--536 (2020; Zbl 07202178) Full Text: DOI
Yousefi, A.; Javadi, S.; Babolian, E.; Moradi, E. Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. (English) Zbl 1426.65221 J. Comput. Appl. Math. 358, 97-110 (2019). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45J05 45B05 34A08 65L60 PDF BibTeX XML Cite \textit{A. Yousefi} et al., J. Comput. Appl. Math. 358, 97--110 (2019; Zbl 1426.65221) Full Text: DOI
Alharbi, F. M.; Abdou, M. A. Boundary and initial value problems and integral operator. (English) Zbl 1433.45006 Adv. Differ. Equ. Control Process. 19, No. 4, 391-404 (2018). MSC: 45J05 65R20 45B05 45E10 65R10 PDF BibTeX XML Cite \textit{F. M. Alharbi} and \textit{M. A. Abdou}, Adv. Differ. Equ. Control Process. 19, No. 4, 391--404 (2018; Zbl 1433.45006) Full Text: DOI
Cui, Na; Huang, Wei A second order accurate mixed Chebyshev-Legendre-spherical harmonic pseudospectral method for Allen-Cahn equation. (Chinese. English summary) Zbl 1399.65347 Commun. Appl. Math. Comput. 31, No. 4, 454-461 (2017). MSC: 65N35 65M06 41A05 42A15 PDF BibTeX XML Cite \textit{N. Cui} and \textit{W. Huang}, Commun. Appl. Math. Comput. 31, No. 4, 454--461 (2017; Zbl 1399.65347) Full Text: DOI
Guo, Jinzhu; Lv, Shujuan Chebyshev-Legendre spectral method for the initial boundary value problem of the Burgers-Fisher equation. (Chinese. English summary) Zbl 1374.65179 J. Nat. Sci. Heilongjiang Univ. 33, No. 4, 421-428 (2016). MSC: 65M70 65M12 35Q53 65M15 PDF BibTeX XML Cite \textit{J. Guo} and \textit{S. Lv}, J. Nat. Sci. Heilongjiang Univ. 33, No. 4, 421--428 (2016; Zbl 1374.65179) 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
Wu, Hua; Xu, Lingfang A Chebyshev-Legendre spectral collocation method for second kind Volterra integral equations. (Chinese. English summary) Zbl 1313.65342 Commun. Appl. Math. Comput. 28, No. 2, 175-188 (2014). MSC: 65R20 45A05 45D05 PDF BibTeX XML Cite \textit{H. Wu} and \textit{L. Xu}, Commun. Appl. Math. Comput. 28, No. 2, 175--188 (2014; Zbl 1313.65342) Full Text: DOI
Ahmed, Shazad Shawki; Salih, Shokhan Ahmed Hama The approximate solution of multi-higher order linear Volterra integro-fractional differential equations with variable coefficients in terms of orthogonal polynomials. (English) Zbl 1310.65161 J. Concr. Appl. Math. 11, No. 2, 215-229 (2013). MSC: 65R20 45D05 45J05 26A33 PDF BibTeX XML Cite \textit{S. S. Ahmed} and \textit{S. A. H. Salih}, J. Concr. Appl. Math. 11, No. 2, 215--229 (2013; Zbl 1310.65161)
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
Zhao, Tinggang; Zhang, Xiaoxian; Huo, Jinxia; Su, Wanghui; Liu, Yongli; Wu, Yujiang Optimal error estimate of Chebyshev-Legendre spectral method for the generalised Benjamin-Bona-Mahony-Burgers equations. (English) Zbl 1246.65176 Abstr. Appl. Anal. 2012, Article ID 106343, 22 p. (2012). MSC: 65M20 35Q53 65M06 65M70 65M12 65M15 65Y20 PDF BibTeX XML Cite \textit{T. Zhao} et al., Abstr. Appl. Anal. 2012, Article ID 106343, 22 p. (2012; Zbl 1246.65176) Full Text: DOI
Zhang, Wen; Ma, Heping Chebyshev-Legendre method for discretizing optimal control problems. (English) Zbl 1212.65257 J. Shanghai Univ. 13, No. 2, 113-118 (2009). MSC: 65K10 49J20 90C30 49M37 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{H. Ma}, J. Shanghai Univ. 13, No. 2, 113--118 (2009; Zbl 1212.65257) Full Text: DOI
Zhang, Wen A numerical method for solving nonsmooth optimal control problems. (Chinese. English summary) Zbl 1199.65221 Appl. Math., Ser. A (Chin. Ed.) 24, No. 2, 207-220 (2009). MSC: 65K10 49J20 49M25 PDF BibTeX XML Cite \textit{W. Zhang}, Appl. Math., Ser. A (Chin. Ed.) 24, No. 2, 207--220 (2009; Zbl 1199.65221)
Zhang, Wen; Ma, Heping The Chebyshev-Legendre pseudospectral method for solving the linear-quadratic optimal control problems. (Chinese. English summary) Zbl 1199.65222 J. Numer. Methods Comput. Appl. 30, No. 2, 100-112 (2009). MSC: 65K10 49N10 49M37 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{H. Ma}, J. Numer. Methods Comput. Appl. 30, No. 2, 100--112 (2009; Zbl 1199.65222)
Zhang, Wen; Ma, Heping The Chebyshev-Legendre collocation method for a class of optimal control problems. (English) Zbl 1159.49039 Int. J. Comput. Math. 85, No. 2, 225-240 (2008). Reviewer: Rudolf Kodnár (Bratislava) MSC: 49M30 65N35 49J15 90C30 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{H. Ma}, Int. J. Comput. Math. 85, No. 2, 225--240 (2008; Zbl 1159.49039) Full Text: DOI
Chen, Yuehui Chebychev-Legendre pseudospectral viscosity method for the conservative equation. (English) Zbl 1086.65097 J. Math. Study 38, No. 1, 10-18 (2005). Reviewer: Jiří Vaníček (Praha) MSC: 65M70 35L65 65M12 PDF BibTeX XML Cite \textit{Y. Chen}, J. Math. Study 38, No. 1, 10--18 (2005; Zbl 1086.65097)
Wu, Hua; Ma, Heping; Li, Huiyuan Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. (English) Zbl 1050.65083 SIAM J. Numer. Anal. 41, No. 2, 659-672 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 35Q53 65M70 65M20 65M06 PDF BibTeX XML Cite \textit{H. Wu} et al., SIAM J. Numer. Anal. 41, No. 2, 659--672 (2003; Zbl 1050.65083) Full Text: DOI
Ma, Heping Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws. (English) Zbl 0912.35105 SIAM J. Numer. Anal. 35, No. 3, 893-908 (1998). Reviewer: A.Meister (Hamburg) MSC: 35L65 65M99 65N99 65M15 PDF BibTeX XML Cite \textit{H. Ma}, SIAM J. Numer. Anal. 35, No. 3, 893--908 (1998; Zbl 0912.35105) Full Text: DOI
Shen, Jie Efficient spectral-Galerkin methods. III: Polar and cylindrical geometries. (English) Zbl 0890.65117 SIAM J. Sci. Comput. 18, No. 6, 1583-1604 (1997). Reviewer: J.Vaníček (Praha) MSC: 65N35 35J25 35J40 35J05 PDF BibTeX XML Cite \textit{J. Shen}, SIAM J. Sci. Comput. 18, No. 6, 1583--1604 (1997; Zbl 0890.65117) Full Text: DOI
Don, Wai Sun; Gottlieb, David The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points. (English) Zbl 0815.65106 SIAM J. Numer. Anal. 31, No. 6, 1519-1534 (1994). Reviewer: K.Najzar (Praha) MSC: 65M70 65M12 35K05 PDF BibTeX XML Cite \textit{W. S. Don} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 31, No. 6, 1519--1534 (1994; Zbl 0815.65106) Full Text: DOI
Paik, Seungho; Nguyen, Hoa D.; Chung, Jacob N. Transient conjugated heat transfer analysis from a sphere with nonlinear boundary conditions. (English) Zbl 0814.65100 J. Comput. Phys. 115, No. 2, 423-430 (1994). Reviewer: H.K.Verma (Ludhiana) MSC: 65M70 80A20 35K55 35Q72 PDF BibTeX XML Cite \textit{S. Paik} et al., J. Comput. Phys. 115, No. 2, 423--430 (1994; Zbl 0814.65100) Full Text: DOI
Nguyen, Hoa D.; Paik, Seungho; Chung, Jacob N. Unsteady mixed convection heat transfer from a solid sphere: The conjugate problem. (English) Zbl 0815.76076 Int. J. Heat Mass Transfer 36, No. 18, 4443-4453 (1993). Reviewer: V.M.Soundalgekar (Thane) MSC: 76R05 76R10 80A20 PDF BibTeX XML Cite \textit{H. D. Nguyen} et al., Int. J. Heat Mass Transfer 36, No. 18, 4443--4453 (1993; Zbl 0815.76076) Full Text: DOI
Paik, Seungho; Nguyen, Hoa D.; Chung, Jacob N. A study of argon thermal plasma flow over a solid sphere. (English) Zbl 0777.76100 J. Fluid Mech. 252, 543-564 (1993). MSC: 76X05 80A20 PDF BibTeX XML Cite \textit{S. Paik} et al., J. Fluid Mech. 252, 543--564 (1993; Zbl 0777.76100) Full Text: DOI