Shukla, Alok; Vedula, Prakash A hybrid classical-quantum algorithm for solution of nonlinear ordinary differential equations. (English) Zbl 1511.65077 Appl. Math. Comput. 442, Article ID 127708, 23 p. (2023). MSC: 65L99 68Q12 34-04 PDFBibTeX XMLCite \textit{A. Shukla} and \textit{P. Vedula}, Appl. Math. Comput. 442, Article ID 127708, 23 p. (2023; Zbl 1511.65077) Full Text: DOI arXiv
Shukla, Alok; Vedula, Prakash A hybrid classical-quantum algorithm for digital image processing. (English) Zbl 1508.81533 Quantum Inf. Process. 22, No. 1, Paper No. 3, 19 p. (2023). MSC: 81P68 PDFBibTeX XMLCite \textit{A. Shukla} and \textit{P. Vedula}, Quantum Inf. Process. 22, No. 1, Paper No. 3, 19 p. (2023; Zbl 1508.81533) Full Text: DOI arXiv
Mishra, Vinod; Rani, Dimple Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations. (English) Zbl 1457.65249 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 60, 28 p. (2020). Reviewer: Nikhil Khanna (New Delhi) MSC: 65R10 44A10 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{V. Mishra} and \textit{D. Rani}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 60, 28 p. (2020; Zbl 1457.65249) Full Text: DOI
Malmir, Iman; Sadati, Seyed Hossein Transforming linear time-varying optimal control problems with quadratic criteria into quadratic programming ones via wavelets. (English) Zbl 1440.49040 J. Appl. Anal. 26, No. 1, 131-151 (2020). MSC: 49N10 49N05 93C05 65T60 90C20 34A08 PDFBibTeX XMLCite \textit{I. Malmir} and \textit{S. H. Sadati}, J. Appl. Anal. 26, No. 1, 131--151 (2020; Zbl 1440.49040) Full Text: DOI
Rahimkhani, Parisa; Ordokhani, Yadollah Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions. (English) Zbl 1524.65979 J. Comput. Appl. Math. 365, Article ID 112365, 15 p. (2020). MSC: 65R20 45J05 34A08 65L60 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, J. Comput. Appl. Math. 365, Article ID 112365, 15 p. (2020; Zbl 1524.65979) Full Text: DOI
Biazar, Jafar; Goldoust, Fereshteh Multi-dimensional Legendre wavelets approach on the Black-Scholes and Heston Cox Ingersoll Ross equations. (English) Zbl 1484.91514 AIMS Math. 4, No. 4, 1046-1064 (2019). MSC: 91G60 35Q91 35K10 35R60 60H30 65M70 91G20 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{F. Goldoust}, AIMS Math. 4, No. 4, 1046--1064 (2019; Zbl 1484.91514) Full Text: DOI
Keshavarz, E.; Ordokhani, Y.; Razzaghi, M. The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations. (English) Zbl 1428.42071 Appl. Math. Comput. 351, 83-98 (2019). MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{E. Keshavarz} et al., Appl. Math. Comput. 351, 83--98 (2019; Zbl 1428.42071) Full Text: DOI
Bataineh, Ahmad Sami Bernstein polynomials method and its error analysis for solving nonlinear problems in the calculus of variations: convergence analysis via residual function. (Bernstein polynomials method and it’s error analysis for solving nonlinear problems in the calculus of variations: convergence analysis via residual function.) (English) Zbl 1499.49082 Filomat 32, No. 4, 1379-1393 (2018). MSC: 49M25 49J10 49J21 11C08 11C20 15A99 65L05 41A17 41A35 PDFBibTeX XMLCite \textit{A. S. Bataineh}, Filomat 32, No. 4, 1379--1393 (2018; Zbl 1499.49082) Full Text: DOI
Alinia, N.; Zarebnia, M. Trigonometric tension B-spline method for the solution of problems in calculus of variations. (English) Zbl 1457.65229 Comput. Math. Math. Phys. 58, No. 5, 631-641 (2018). MSC: 65N35 65D07 41A15 35A15 PDFBibTeX XMLCite \textit{N. Alinia} and \textit{M. Zarebnia}, Comput. Math. Math. Phys. 58, No. 5, 631--641 (2018; Zbl 1457.65229) Full Text: DOI
Bazm, Sohrab; Hosseini, Alireza Numerical solution of nonlinear integral equations using alternative Legendre polynomials. (English) Zbl 1444.65073 J. Appl. Math. Comput. 56, No. 1-2, 25-51 (2018). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{S. Bazm} and \textit{A. Hosseini}, J. Appl. Math. Comput. 56, No. 1--2, 25--51 (2018; Zbl 1444.65073) Full Text: DOI
Tabrizidooz, Hamid Reza; Shabanpanah, Khadigeh Bernstein polynomial basis for numerical solution of boundary value problems. (English) Zbl 1381.65058 Numer. Algorithms 77, No. 1, 211-228 (2018). MSC: 65L10 34B05 34B15 65L70 PDFBibTeX XMLCite \textit{H. R. Tabrizidooz} and \textit{K. Shabanpanah}, Numer. Algorithms 77, No. 1, 211--228 (2018; Zbl 1381.65058) Full Text: DOI
Farajeyan, K.; Rashidinia, J.; Jalilian, R. Classes of high-order numerical methods for solution of certain problem in calculus of variations. (English) Zbl 1428.49035 Cogent Math. 4, Article ID 1288307, 15 p. (2017). MSC: 49M99 65L10 65L60 65D07 PDFBibTeX XMLCite \textit{K. Farajeyan} et al., Cogent Math. 4, Article ID 1288307, 15 p. (2017; Zbl 1428.49035) Full Text: DOI
Yüzbaşı, Şuayip; Ismailov, Nurbol A numerical method for the solutions of the HIV infection model of \(\mathrm{CD}4^+\)T-cells. (English) Zbl 1373.92078 Int. J. Biomath. 10, No. 7, Article ID 1750098, 16 p. (2017). MSC: 92C60 65L05 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı} and \textit{N. Ismailov}, Int. J. Biomath. 10, No. 7, Article ID 1750098, 16 p. (2017; Zbl 1373.92078) Full Text: DOI
Mashayekhi, S.; Razzaghi, M. Numerical solution of distributed order fractional differential equations by hybrid functions. (English) Zbl 1349.65253 J. Comput. Phys. 315, 169-181 (2016). MSC: 65L60 35R11 PDFBibTeX XMLCite \textit{S. Mashayekhi} and \textit{M. Razzaghi}, J. Comput. Phys. 315, 169--181 (2016; Zbl 1349.65253) Full Text: DOI
Ghasemi, M. On using cubic spline for the solution of problems in calculus of variations. (English) Zbl 1354.65132 Numer. Algorithms 73, No. 3, 685-710 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J15 49M25 PDFBibTeX XMLCite \textit{M. Ghasemi}, Numer. Algorithms 73, No. 3, 685--710 (2016; Zbl 1354.65132) Full Text: DOI
Mashayekhi, Somayeh; Razzaghi, Mohsen Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation. (English) Zbl 1336.65123 Math. Methods Appl. Sci. 39, No. 3, 353-365 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L10 65L05 65L70 34A08 34A30 34B05 PDFBibTeX XMLCite \textit{S. Mashayekhi} and \textit{M. Razzaghi}, Math. Methods Appl. Sci. 39, No. 3, 353--365 (2016; Zbl 1336.65123) Full Text: DOI
Balakumar, V.; Murugesan, K. Numerical solution of Volterra integral-algebraic equations using block pulse functions. (English) Zbl 1410.65487 Appl. Math. Comput. 263, 165-170 (2015). MSC: 65R20 45D05 45F05 45G10 PDFBibTeX XMLCite \textit{V. Balakumar} and \textit{K. Murugesan}, Appl. Math. Comput. 263, 165--170 (2015; Zbl 1410.65487) Full Text: DOI
Mashayekhi, S.; Razzaghi, M. Numerical solution of nonlinear fractional integro-differential equations by hybrid functions. (English) Zbl 1403.65034 Eng. Anal. Bound. Elem. 56, 81-89 (2015). MSC: 65L60 45J05 PDFBibTeX XMLCite \textit{S. Mashayekhi} and \textit{M. Razzaghi}, Eng. Anal. Bound. Elem. 56, 81--89 (2015; Zbl 1403.65034) Full Text: DOI
Labecca, William; Guimarães, Osvaldo; Piqueira, José Roberto C. Dirac’s formalism combined with complex Fourier operational matrices to solve initial and boundary value problems. (English) Zbl 1510.65172 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2614-2623 (2014). MSC: 65L60 34A45 PDFBibTeX XMLCite \textit{W. Labecca} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2614--2623 (2014; Zbl 1510.65172) Full Text: DOI
Balakumar, V.; Murugesan, K. Single-term Walsh series method for systems of linear Volterra integral equations of the second kind. (English) Zbl 1364.65289 Appl. Math. Comput. 228, 371-376 (2014). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{V. Balakumar} and \textit{K. Murugesan}, Appl. Math. Comput. 228, 371--376 (2014; Zbl 1364.65289) Full Text: DOI
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid Pseudospectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems. (English) Zbl 1304.49064 Int. J. Comput. Math. 91, No. 7, 1552-1573 (2014). MSC: 49M37 65K10 65M70 90C30 PDFBibTeX XMLCite \textit{M. Maleki} et al., Int. J. Comput. Math. 91, No. 7, 1552--1573 (2014; Zbl 1304.49064) Full Text: DOI
Tohidi, Emran; Kılıçman, Adem A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation. (English) Zbl 1299.49043 Math. Probl. Eng. 2013, Article ID 757206, 9 p. (2013). MSC: 49M30 49M25 PDFBibTeX XMLCite \textit{E. Tohidi} and \textit{A. Kılıçman}, Math. Probl. Eng. 2013, Article ID 757206, 9 p. (2013; Zbl 1299.49043) Full Text: DOI
Lotfi, A.; Yousefi, S. A.; Dehghan, Mehdi Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule. (English) Zbl 1286.49030 J. Comput. Appl. Math. 250, 143-160 (2013). MSC: 49M30 26A33 PDFBibTeX XMLCite \textit{A. Lotfi} et al., J. Comput. Appl. Math. 250, 143--160 (2013; Zbl 1286.49030) Full Text: DOI
Zhu, Li; Wang, Yanxin Second Chebyshev wavelet operational matrix of integration and its application in the calculus of variations. (English) Zbl 1282.65078 Int. J. Comput. Math. 90, No. 11, 2338-2352 (2013). MSC: 65K10 49J15 49M25 65T60 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Y. Wang}, Int. J. Comput. Math. 90, No. 11, 2338--2352 (2013; Zbl 1282.65078) Full Text: DOI
Zarebnia, M.; Birjandi, M. The numerical solution of problems in calculus of variation using B-spline collocation method. (English) Zbl 1254.65023 J. Appl. Math. 2012, Article ID 605741, 10 p. (2012). MSC: 65D07 PDFBibTeX XMLCite \textit{M. Zarebnia} and \textit{M. Birjandi}, J. Appl. Math. 2012, Article ID 605741, 10 p. (2012; Zbl 1254.65023) Full Text: DOI
Anderyance, S.; Hadizadeh, M. The computational efficiency of Walsh approximation for two-dimensional Volterra integral equations. (English) Zbl 1220.65183 Asian-Eur. J. Math. 4, No. 2, 263-270 (2011). MSC: 65R20 45D05 65T60 PDFBibTeX XMLCite \textit{S. Anderyance} and \textit{M. Hadizadeh}, Asian-Eur. J. Math. 4, No. 2, 263--270 (2011; Zbl 1220.65183) Full Text: DOI
Kadem, Abdelouhab; Baleanu, Dumitru Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation. (English) Zbl 1221.45008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 491-501 (2010). MSC: 45J05 26A33 42C10 82D75 PDFBibTeX XMLCite \textit{A. Kadem} and \textit{D. Baleanu}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 491--501 (2010; Zbl 1221.45008) Full Text: DOI
Kadem, Abdelouahab; Kilicman, Adem Note on the solution of transport equation by Tau method and Walsh functions. (English) Zbl 1221.35021 Abstr. Appl. Anal. 2010, Article ID 704168, 13 p. (2010). MSC: 35A25 35F05 PDFBibTeX XMLCite \textit{A. Kadem} and \textit{A. Kilicman}, Abstr. Appl. Anal. 2010, Article ID 704168, 13 p. (2010; Zbl 1221.35021) Full Text: DOI EuDML
Wang, Ren-Hong; Dan, Wei Improved Haar and Walsh functions over triangular domains. (English) Zbl 1205.42028 J. Franklin Inst. 347, No. 9, 1782-1794 (2010). MSC: 42C10 42C30 41A30 PDFBibTeX XMLCite \textit{R.-H. Wang} and \textit{W. Dan}, J. Franklin Inst. 347, No. 9, 1782--1794 (2010; Zbl 1205.42028) Full Text: DOI
Yousefi, S. A.; Behroozifar, M. Operational matrices of Bernstein polynomials and their applications. (English) Zbl 1195.65061 Int. J. Syst. Sci. 41, No. 6, 709-716 (2010). MSC: 65F30 65D32 65D25 65K10 65L05 65R10 PDFBibTeX XMLCite \textit{S. A. Yousefi} and \textit{M. Behroozifar}, Int. J. Syst. Sci. 41, No. 6, 709--716 (2010; Zbl 1195.65061) Full Text: DOI
Yousefi, S. A.; Dehghan, Mehdi The use of He’s variational iteration method for solving variational problems. (English) Zbl 1191.65078 Int. J. Comput. Math. 87, No. 6, 1299-1314 (2010). MSC: 65K10 49J15 49M25 PDFBibTeX XMLCite \textit{S. A. Yousefi} and \textit{M. Dehghan}, Int. J. Comput. Math. 87, No. 6, 1299--1314 (2010; Zbl 1191.65078) Full Text: DOI
Maleki, Mohammad; Mashali-Firouzi, Mahmoud A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization. (English) Zbl 1189.65132 J. Comput. Appl. Math. 234, No. 5, 1364-1373 (2010). MSC: 65K10 49J15 49M37 PDFBibTeX XMLCite \textit{M. Maleki} and \textit{M. Mashali-Firouzi}, J. Comput. Appl. Math. 234, No. 5, 1364--1373 (2010; Zbl 1189.65132) Full Text: DOI
Tavassoli Kajani, M.; Hadi Vencheh, A.; Ghasemi, M. The Chebyshev wavelets operational matrix of integration product operation matrix. (English) Zbl 1169.65072 Int. J. Comput. Math. 86, No. 7, 1118-1125 (2009). MSC: 65L05 65T60 34A30 PDFBibTeX XMLCite \textit{M. Tavassoli Kajani} et al., Int. J. Comput. Math. 86, No. 7, 1118--1125 (2009; Zbl 1169.65072) Full Text: DOI
Marzban, H. R.; Hoseini, S. M.; Razzaghi, M. Solution of Volterra’s population model via block-pulse functions and Lagrange-interpolating polynomials. (English) Zbl 1156.65106 Math. Methods Appl. Sci. 32, No. 2, 127-134 (2009). MSC: 65R20 45J05 45G10 92D25 PDFBibTeX XMLCite \textit{H. R. Marzban} et al., Math. Methods Appl. Sci. 32, No. 2, 127--134 (2009; Zbl 1156.65106) Full Text: DOI
Abdulaziz, O.; Hashim, I.; Chowdhury, M. S. H. Solving variational problems by homotopy – perturbation method. (English) Zbl 1195.49039 Int. J. Numer. Methods Eng. 75, No. 6, 709-721 (2008). MSC: 49M30 65K10 PDFBibTeX XMLCite \textit{O. Abdulaziz} et al., Int. J. Numer. Methods Eng. 75, No. 6, 709--721 (2008; Zbl 1195.49039) Full Text: DOI
Bujurke, N. M.; Salimath, C. S.; Shiralashetti, S. C. Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets. (English) Zbl 1152.65086 J. Comput. Appl. Math. 219, No. 1, 90-101 (2008). MSC: 65L15 34L16 65L20 PDFBibTeX XMLCite \textit{N. M. Bujurke} et al., J. Comput. Appl. Math. 219, No. 1, 90--101 (2008; Zbl 1152.65086) Full Text: DOI
Babolian, E.; Mokhtari, R.; Salmani, M. Using direct method for solving variational problems via triangular orthogonal functions. (English) Zbl 1193.65196 Appl. Math. Comput. 191, No. 1, 206-217 (2007). MSC: 65N30 49M15 PDFBibTeX XMLCite \textit{E. Babolian} et al., Appl. Math. Comput. 191, No. 1, 206--217 (2007; Zbl 1193.65196) Full Text: DOI
Ramezani, M.; Razzaghi, M.; Dehghan, M. Composite spectral functions for solving Volterra’s population model. (English) Zbl 1127.92033 Chaos Solitons Fractals 34, No. 2, 588-593 (2007). MSC: 92D25 45J05 34K07 PDFBibTeX XMLCite \textit{M. Ramezani} et al., Chaos Solitons Fractals 34, No. 2, 588--593 (2007; Zbl 1127.92033) Full Text: DOI
Ghasemi, M.; Babolian, E.; Kajani, M. Tavassoli Numerical solution of linear Fredholm integral equations using sine-cosine wavelets. (English) Zbl 1122.65130 Int. J. Comput. Math. 84, No. 7, 979-987 (2007). MSC: 65R20 45F05 65T60 PDFBibTeX XMLCite \textit{M. Ghasemi} et al., Int. J. Comput. Math. 84, No. 7, 979--987 (2007; Zbl 1122.65130) Full Text: DOI
Dehghan, Mehdi; Tatari, Mehdi The use of Adomian decomposition method for solving problems in calculus of variations. (English) Zbl 1200.65050 Math. Probl. Eng. 2006, No. 6, Article ID 65379, 12 p. (2006). MSC: 65K10 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Tatari}, Math. Probl. Eng. 2006, No. 6, Article ID 65379, 12 p. (2006; Zbl 1200.65050) Full Text: DOI
Arabzadeh, B.; Razzaghi, M.; Ordokhani, Y. Numerical solution of linear time-varying differential equations using the hybrid of block-pulse and rationalized Haar functions. (English) Zbl 1182.65135 J. Vib. Control 12, No. 10, 1081-1092 (2006). MSC: 65L99 PDFBibTeX XMLCite \textit{B. Arabzadeh} et al., J. Vib. Control 12, No. 10, 1081--1092 (2006; Zbl 1182.65135) Full Text: DOI
Khellat, F.; Yousefi, S. A. The linear Legendre mother wavelets operational matrix of integration and its application. (English) Zbl 1127.65105 J. Franklin Inst. 343, No. 2, 181-190 (2006). MSC: 65T60 42C40 65K10 49J15 49M30 PDFBibTeX XMLCite \textit{F. Khellat} and \textit{S. A. Yousefi}, J. Franklin Inst. 343, No. 2, 181--190 (2006; Zbl 1127.65105) Full Text: DOI
Ghasemi, M.; Babolian, E.; Kajani, M. Tavssoli Hybrid Fourier and block-pulse functions for applications in the calculus of variations. (English) Zbl 1114.65071 Int. J. Comput. Math. 83, No. 8-9, 695-702 (2006). MSC: 65K10 49J15 49M15 PDFBibTeX XMLCite \textit{M. Ghasemi} et al., Int. J. Comput. Math. 83, No. 8--9, 695--702 (2006; Zbl 1114.65071) Full Text: DOI
Razzaghi, M.; Sepehrian, B. Single-term Walsh series direct method for the solution of nonlinear problems in the calculus of variations. (English) Zbl 1092.49022 J. Vib. Control 10, No. 7, 1071-1081 (2004). MSC: 49M15 65M70 42C10 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{B. Sepehrian}, J. Vib. Control 10, No. 7, 1071--1081 (2004; Zbl 1092.49022) Full Text: DOI
Glabisz, W. Direct Walsh-wavelet packet method for variational problems. (English) Zbl 1063.65052 Appl. Math. Comput. 159, No. 3, 769-781 (2004). MSC: 65K10 49J15 65T60 49M15 PDFBibTeX XMLCite \textit{W. Glabisz}, Appl. Math. Comput. 159, No. 3, 769--781 (2004; Zbl 1063.65052) Full Text: DOI
Hsiao, Chunhui Solution of variational problems via Haar orthonormal wavelet direct method. (English) Zbl 1059.65058 Int. J. Comput. Math. 81, No. 7, 871-887 (2004). MSC: 65K10 49J15 49M25 65T60 PDFBibTeX XMLCite \textit{C. Hsiao}, Int. J. Comput. Math. 81, No. 7, 871--887 (2004; Zbl 1059.65058) Full Text: DOI
Hsiao, Chun-Hui Haar wavelet direct method for solving variational problems. (English) Zbl 1039.65051 Math. Comput. Simul. 64, No. 5, 569-585 (2004). MSC: 65K10 49J15 49M15 65T60 PDFBibTeX XMLCite \textit{C.-H. Hsiao}, Math. Comput. Simul. 64, No. 5, 569--585 (2004; Zbl 1039.65051) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A Walsh function method for a non-linear Volterra integral equation. (English) Zbl 1023.65141 J. Franklin Inst. 340, No. 1, 25-41 (2003). Reviewer: Søren Christiansen (Lyngby) MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 340, No. 1, 25--41 (2003; Zbl 1023.65141) Full Text: DOI
Razzaghi, M.; Yousefi, S. Sine-cosine wavelets operational matrix of integration and its applications in the calculus of variations. (English) Zbl 1012.65063 Int. J. Syst. Sci. 33, No. 10, 805-810 (2002). MSC: 65K10 49J15 49M15 65T60 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{S. Yousefi}, Int. J. Syst. Sci. 33, No. 10, 805--810 (2002; Zbl 1012.65063) Full Text: DOI
Razzaghi, Mohsen; Ordokhani, Yadollah Solution for a classical problem in the calculus of variations via rationalized Haar functions. (English) Zbl 1265.49023 Kybernetika 37, No. 5, 575-583 (2001). MSC: 49K15 65K10 70Q05 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{Y. Ordokhani}, Kybernetika 37, No. 5, 575--583 (2001; Zbl 1265.49023) Full Text: EuDML Link
Razzaghi, M.; Ordokhani, Y. An application of rationalized Haar functions for variational problems. (English) Zbl 1020.49026 Appl. Math. Comput. 122, No. 3, 353-364 (2001). MSC: 49M25 65T60 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{Y. Ordokhani}, Appl. Math. Comput. 122, No. 3, 353--364 (2001; Zbl 1020.49026) Full Text: DOI
Rassaghi, M.; Yousefi, S. Legendre wavelets method for the solution of nonlinear problems in the calculus of variations. (English) Zbl 0991.65053 Math. Comput. Modelling 34, No. 1-2, 45-54 (2001). MSC: 65K10 49J15 49M25 65T60 PDFBibTeX XMLCite \textit{M. Rassaghi} and \textit{S. Yousefi}, Math. Comput. Modelling 34, No. 1--2, 45--54 (2001; Zbl 0991.65053) Full Text: DOI
Razzaghi, M.; Ordokhani, Y. Solution of differential equations via rationalized Haar functions. (English) Zbl 0987.65063 Math. Comput. Simul. 56, No. 3, 235-246 (2001). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65L05 34A34 65L60 33C47 65T60 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{Y. Ordokhani}, Math. Comput. Simul. 56, No. 3, 235--246 (2001; Zbl 0987.65063) Full Text: DOI
Razzaghi, Mohsen; Marzban, Hamid-Reza A hybrid analysis direct method in the calculus of variations. (English) Zbl 0969.49014 Int. J. Comput. Math. 75, No. 3, 259-269 (2000). MSC: 49M30 65K10 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{H.-R. Marzban}, Int. J. Comput. Math. 75, No. 3, 259--269 (2000; Zbl 0969.49014) Full Text: DOI
Sloss, B. G.; Blyth, W. F. The computational efficiency of a spectral Walsh function method. (English) Zbl 0995.65105 J. Franklin Inst. 335B, No. 6, 1157-1170 (1998). MSC: 65M70 65Y20 35L45 PDFBibTeX XMLCite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 335B, No. 6, 1157--1170 (1998; Zbl 0995.65105) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A variational method using Walsh functions. (English) Zbl 0939.42017 Nonlinear Anal., Theory Methods Appl. 32, No. 4, 549-561 (1998). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 65N30 49J10 65K10 PDFBibTeX XMLCite \textit{B. G. Sloss} and \textit{W. F. Blyth}, Nonlinear Anal., Theory Methods Appl. 32, No. 4, 549--561 (1998; Zbl 0939.42017) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A priori error estimates for Corrington’s Walsh function method. (English) Zbl 0823.34014 J. Franklin Inst. 331B, No. 3, 273-283 (1994). Reviewer: L.Berg (Rostock) MSC: 34A45 65J99 65L70 41A30 PDFBibTeX XMLCite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 331B, No. 3, 273--283 (1994; Zbl 0823.34014) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A pseudospectral Walsh function method. (English) Zbl 0789.65081 J. Franklin Inst. 329, No. 4, 667-678 (1992). MSC: 65M70 35L05 35L45 PDFBibTeX XMLCite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 329, No. 4, 667--678 (1992; Zbl 0789.65081) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Instabilities in the solution of a heat conduction problem using Taylor series and alternative approaches. (English) Zbl 0684.34012 J. Franklin Inst. 326, No. 5, 683-690 (1989). MSC: 34A45 42C05 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 326, No. 5, 683--690 (1989; Zbl 0684.34012) Full Text: DOI
Tsay, Shuh-Chuan; Lee, Tsu-Tian Solution of variational problems via general orthogonal polynomials. (English) Zbl 0639.49015 Int. J. Syst. Sci. 19, No. 3, 413-437 (1988). MSC: 49K05 42C10 49K15 33C45 65K10 PDFBibTeX XMLCite \textit{S.-C. Tsay} and \textit{T.-T. Lee}, Int. J. Syst. Sci. 19, No. 3, 413--437 (1988; Zbl 0639.49015) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Taylor series direct method for variational problems. (English) Zbl 0627.49017 J. Franklin Inst. 325, No. 1, 125-131 (1988). MSC: 49M15 41A58 44A45 49K15 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 325, No. 1, 125--131 (1988; Zbl 0627.49017) Full Text: DOI
Ingrong, Horng; Jyhhorng, Chou Shifted Chebyshev direct method for solving variational problems. (English) Zbl 0568.49019 Int. J. Syst. Sci. 16, 855-861 (1985). MSC: 49M05 33C45 49K15 42C10 65K10 PDFBibTeX XMLCite \textit{H. Ingrong} and \textit{C. Jyhhorng}, Int. J. Syst. Sci. 16, 855--861 (1985; Zbl 0568.49019) Full Text: DOI
Mertzios, B. G. Solution and identification of discrete state-space equations via Walsh functions. (English) Zbl 0549.93037 J. Franklin Inst. 318, 383-391 (1984). MSC: 93C55 44A55 93B30 42C10 93C05 93C99 93C35 PDFBibTeX XMLCite \textit{B. G. Mertzios}, J. Franklin Inst. 318, 383--391 (1984; Zbl 0549.93037) Full Text: DOI
Tsai, Mingjong; Chen, Cha’okuang; Kung, Fanchu Analysis of linear time-varying systems by shifted Legendre polynomials. (English) Zbl 0544.93048 J. Franklin Inst. 318, 275-282 (1984). MSC: 93C99 42C10 93C05 33C45 93B17 PDFBibTeX XMLCite \textit{M. Tsai} et al., J. Franklin Inst. 318, 275--282 (1984; Zbl 0544.93048) Full Text: DOI
Wang, Chi-Hsu On the generalization of block pulse operational matrices for fractional and operational calculus. (English) Zbl 0544.44006 J. Franklin Inst. 315, 91-102 (1983). MSC: 44A45 26A33 PDFBibTeX XMLCite \textit{C.-H. Wang}, J. Franklin Inst. 315, 91--102 (1983; Zbl 0544.44006) Full Text: DOI
Paraskevopoulos, P. N. Chebyshev series approach to system identification, analysis and optimal control. (English) Zbl 0538.93013 J. Franklin Inst. 316, 135-157 (1983). Reviewer: N.Christov MSC: 93B30 33C45 93B50 42C10 93B40 93C05 93C99 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos}, J. Franklin Inst. 316, 135--157 (1983; Zbl 0538.93013) Full Text: DOI
Hwang, C.; Shih, Y. P. Laguerre series direct method for variational problems. (English) Zbl 0481.49005 J. Optimization Theory Appl. 39, 143-149 (1983). MSC: 49J05 33C45 42C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{Y. P. Shih}, J. Optim. Theory Appl. 39, 143--149 (1983; Zbl 0481.49005) Full Text: DOI
Chang, R. Y.; Wang, M. W. Shifted Legendre direct method for variational problems. (English) Zbl 0481.49004 J. Optimization Theory Appl. 39, 299-307 (1983). MSC: 49J05 33C55 42C10 PDFBibTeX XMLCite \textit{R. Y. Chang} and \textit{M. W. Wang}, J. Optim. Theory Appl. 39, 299--307 (1983; Zbl 0481.49004) Full Text: DOI