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Volumn 2011, Issue , 2011, Pages

Spectral shifted Jacobi Tau and collocation methods for solving fifth-order boundary value problems

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EID: 80052684621     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2011/823273     Document Type: Article
Times cited : (9)

References (34)
  • 2
    • 0042719493 scopus 로고
    • Linear dependence relations connecting equal interval Nth degree splines and their derivatives
    • Fyfe D. J., Linear dependence relations connecting equal interval Nth degree splines and their derivatives Journal of the Institute of Mathematics and Its Applications 1971 7 398 406
    • (1971) Journal of the Institute of Mathematics and Its Applications , vol.7 , pp. 398-406
    • Fyfe, D.J.1
  • 4
    • 0002689317 scopus 로고    scopus 로고
    • New research directions in singular perturbation theory: Artificial parameter approach and inverse-perturbation technique
    • Shanghai, China
    • Liu G. L., New research directions in singular perturbation theory: artificial parameter approach and inverse-perturbation technique Proceeding of the 7th Conference of the Modern Mathematics and Mechanics 1997 Shanghai, China
    • (1997) Proceeding of the 7th Conference of the Modern Mathematics and Mechanics
    • Liu, G.L.1
  • 6
    • 0003174082 scopus 로고    scopus 로고
    • The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
    • PII S089396599900052X
    • aglar H. N., aglar S. H., Twizell E. H., The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions Applied Mathematics Letters 1999 12 5 25 30 (Pubitemid 129550712)
    • (1999) Applied Mathematics Letters , vol.12 , Issue.5 , pp. 25-30
    • Caglar, H.N.1    Caglar, S.H.2    Twizell, E.H.3
  • 7
    • 0035501448 scopus 로고    scopus 로고
    • The numerical solution of fifth-order boundary value problems by the decomposition method
    • DOI 10.1016/S0377-0427(00)00618-X, PII S037704270000618X
    • Wazwaz A.-M., The numerical solution of fifth-order boundary value problems by the decomposition method Journal of Computational and Applied Mathematics 2001 136 1-2 259 270 (Pubitemid 32939870)
    • (2001) Journal of Computational and Applied Mathematics , vol.136 , Issue.1-2 , pp. 259-270
    • Wazwaz, A.-M.1
  • 8
    • 33646681257 scopus 로고    scopus 로고
    • A class of methods based on non-polynomial sextic spline functions for the solution of a special fifth-order boundary-value problems
    • DOI 10.1016/j.jmaa.2005.08.023, PII S0022247X0500805X
    • Khan M. A., Siraj-ul-Islam, Tirmizi I. A., Twizell E. H., Ashraf S., A class of methods based on non-polynomial sextic spline functions for the solution of a special fifth-order boundary-value problems Journal of Mathematical Analysis and Applications 2006 321 2 651 660 (Pubitemid 43731337)
    • (2006) Journal of Mathematical Analysis and Applications , vol.321 , Issue.2 , pp. 651-660
    • Khan, M.A.1    Siraj-ul-Islam2    Tirmizi, I.A.3    Twizell, E.H.4    Ashraf, S.5
  • 9
    • 33845319251 scopus 로고    scopus 로고
    • Sextic spline solutions of fifth order boundary value problems
    • DOI 10.1016/j.aml.2006.06.012, PII S0893965906002308
    • Siddiqi S. S., Akram G., Sextic spline solutions of fifth order boundary value problems Applied Mathematics Letters 2007 20 5 591 597 (Pubitemid 44880238)
    • (2007) Applied Mathematics Letters , vol.20 , Issue.5 , pp. 591-597
    • Siddiqi, S.S.1    Akram, G.2
  • 10
    • 34249877166 scopus 로고    scopus 로고
    • Nonpolynomial sextic spline method for the solution along with convergence of linear special case fifth-order two-point boundary value problems
    • DOI 10.1016/j.amc.2007.01.071, PII S0096300307000860
    • Siddiqi S. S., Akram G., Malik S. A., Nonpolynomial sextic spline method for the solution along with convergence of linear special case fifth-order two-point value problems Applied Mathematics and Computation 2007 190 1 532 541 (Pubitemid 46863456)
    • (2007) Applied Mathematics and Computation , vol.190 , Issue.1 , pp. 532-541
    • Siddiqi, S.S.1    Akram, G.2    Malik, S.A.3
  • 11
    • 33645857330 scopus 로고    scopus 로고
    • Solution of fifth order boundary value problems using nonpolynomial spline technique
    • Siddiqi S. S., Akram G., Solution of fifth order boundary value problems using nonpolynomial spline technique Applied Mathematics and Computation 2006 175 2 1574 1581
    • (2006) Applied Mathematics and Computation , vol.175 , Issue.2 , pp. 1574-1581
    • Siddiqi, S.S.1    Akram, G.2
  • 12
    • 33749519376 scopus 로고    scopus 로고
    • A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems
    • DOI 10.1016/j.amc.2006.01.042, PII S0096300306001044
    • Siraj-ul-Islam, Azam Khan M., A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems Applied Mathematics and Computation 2006 181 1 356 361 (Pubitemid 44528024)
    • (2006) Applied Mathematics and Computation , vol.181 , Issue.1 , pp. 356-361
    • Siraj-ul-Islam1    Azam Khan, M.2
  • 13
    • 33947662579 scopus 로고    scopus 로고
    • Solution of fifth order boundary value problems by using local polynomial regression
    • DOI 10.1016/j.amc.2006.08.046, PII S0096300306010204
    • Caglar H., Caglar N., Solution of fifth order boundary value problems by using local polynomial regression Applied Mathematics and Computation 2007 186 2 952 956 (Pubitemid 46497307)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.2 , pp. 952-956
    • Caglar, H.1    Caglar, N.2
  • 14
    • 34247277541 scopus 로고    scopus 로고
    • Sinc and the numerical solution of fifth-order boundary value problems
    • DOI 10.1016/j.amc.2006.09.049, PII S0096300306012793
    • El-Gamel M., Sinc and the numerical solution of fifth-order boundary value problems Applied Mathematics and Computation 2007 187 2 1417 1433 (Pubitemid 46627924)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.2 , pp. 1417-1433
    • El-Gamel, M.1
  • 15
    • 34548505827 scopus 로고    scopus 로고
    • Spline approximate solution of fifth-order boundary-value problem
    • DOI 10.1016/j.amc.2007.02.124, PII S0096300307002998
    • Rashidinia J., Jalilian R., Farajeyan K., Spline approximate solution of fifth-order boundary-value problem Applied Mathematics and Computation 2007 192 1 107 112 (Pubitemid 47371144)
    • (2007) Applied Mathematics and Computation , vol.192 , Issue.1 , pp. 107-112
    • Rashidinia, J.1    Jalilian, R.2    Farajeyan, K.3
  • 17
    • 0003218248 scopus 로고    scopus 로고
    • A Practical Guide to Pseudospectral Methods
    • Cambridge, Mass, USA Cambridge University Press
    • Fornberg B., A Practical Guide to Pseudospectral Methods 1996 1 Cambridge, Mass, USA Cambridge University Press x+231 Cambridge Monographs on Applied and Computational Mathematics
    • (1996) Cambridge Monographs on Applied and Computational Mathematics , vol.1 , pp. 231
    • Fornberg, B.1
  • 18
    • 0004136180 scopus 로고    scopus 로고
    • Philadelphia, Pa, USA Society for Industrial and Applied Mathematics (SIAM) Software, Environments, and Tools
    • Trefethen L. N., Spectral Methods in MATLAB 2000 10 Philadelphia, Pa, USA Society for Industrial and Applied Mathematics (SIAM) xviii+165 Software, Environments, and Tools
    • (2000) Spectral Methods in MATLAB , vol.10 , pp. 165
    • Trefethen, L.N.1
  • 19
    • 78650516844 scopus 로고    scopus 로고
    • Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations
    • Doha E. H., Bhrawy A. H., Saker M. A., Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations Applied Mathematics Letters 2011 24 4 559 565
    • (2011) Applied Mathematics Letters , vol.24 , Issue.4 , pp. 559-565
    • Doha, E.H.1    Bhrawy, A.H.2    Saker, M.A.3
  • 20
    • 79959186968 scopus 로고    scopus 로고
    • On the derivatives of bernstein polynomials: An application for the solution of high even-order differential equations
    • Doha E. H., Bhrawy A. H., Saker M. A., On the derivatives of bernstein polynomials: an application for the solution of high even-order differential equations Boundary Value Problems 2011 2011 16
    • (2011) Boundary Value Problems , vol.2011 , pp. 16
    • Doha, E.H.1    Bhrawy, A.H.2    Saker, M.A.3
  • 21
    • 79959260902 scopus 로고    scopus 로고
    • New algorithm for the numerical solution of nonlinear third-order differential equation using Jacobi-Gauss collocation metho
    • Bhrawy A. H., Abd-Elhameed W. M., New algorithm for the numerical solution of nonlinear third-order differential equation using Jacobi-Gauss collocation metho Mathematical Problems in Engineering 2011 2011 14
    • (2011) Mathematical Problems in Engineering , vol.2011 , pp. 14
    • Bhrawy, A.H.1    Abd-Elhameed, W.M.2
  • 23
    • 33747889876 scopus 로고    scopus 로고
    • Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
    • DOI 10.1007/s11075-006-9034-6
    • Doha E. H., Bhrawy A. H., Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials Numerical Algorithms 2006 42 2 137 164 (Pubitemid 44290984)
    • (2006) Numerical Algorithms , vol.42 , Issue.2 , pp. 137-164
    • Doha, E.H.1    Bhrawy, A.H.2
  • 24
    • 44149096688 scopus 로고    scopus 로고
    • Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
    • DOI 10.1016/j.apnum.2007.07.001, PII S0168927407001109
    • Doha E. H., Bhrawy A. H., Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials Applied Numerical Mathematics 2008 58 8 1224 1244 (Pubitemid 351718463)
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.8 , pp. 1224-1244
    • Doha, E.H.1    Bhrawy, A.H.2
  • 25
    • 79959275279 scopus 로고    scopus 로고
    • A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations
    • Doha E. H., Bhrawy A. H., Hafez R. M., A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations Abstract and Applied Analysis 2011 2011 21
    • (2011) Abstract and Applied Analysis , vol.2011 , pp. 21
    • Doha, E.H.1    Bhrawy, A.H.2    Hafez, R.M.3
  • 26
    • 61849140746 scopus 로고    scopus 로고
    • Jacobi spectral Galerkin method for elliptic Neumann problems
    • Doha E. H., Bhrawy A. H., Abd-Elhameed W. M., Jacobi spectral Galerkin method for elliptic Neumann problems Numerical Algorithms 2009 50 1 67 91
    • (2009) Numerical Algorithms , vol.50 , Issue.1 , pp. 67-91
    • Doha, E.H.1    Bhrawy, A.H.2    Abd-Elhameed, W.M.3
  • 28
    • 33745629328 scopus 로고    scopus 로고
    • An effective spectral collocation method for the direct solution of high-order ODEs
    • DOI 10.1002/cnm.841
    • Mai-Duy N., An effective spectral collocation method for the direct solution of high-order ODEs Communications in Numerical Methods in Engineering 2006 22 6 627 642 (Pubitemid 43984824)
    • (2006) Communications in Numerical Methods in Engineering , vol.22 , Issue.6 , pp. 627-642
    • Mai-Duy, N.1
  • 29
    • 0742271179 scopus 로고    scopus 로고
    • On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials
    • DOI 10.1088/0305-4470/37/3/010, PII S030544700465565X
    • Doha E. H., On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials Journal of Physics A 2004 37 3 657 675 (Pubitemid 38148936)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.3 , pp. 657-675
    • Doha, E.H.1
  • 31
    • 33845572723 scopus 로고    scopus 로고
    • An efficient algorithm for solving fifth-order boundary value problems
    • DOI 10.1016/j.mcm.2006.09.004, PII S089571770600330X
    • Noor M. A., Mohyud-Din S. T., An efficient algorithm for solving fifth-order boundary value problems Mathematical and Computer Modelling 2007 45 7-8 954 964 (Pubitemid 44937556)
    • (2007) Mathematical and Computer Modelling , vol.45 , Issue.7-8 , pp. 954-964
    • Aslam Noor, M.1    Mohyud-Din, S.T.2
  • 32
    • 34249046099 scopus 로고    scopus 로고
    • Variational iteration technique for solving higher order boundary value problems
    • DOI 10.1016/j.amc.2006.12.071, PII S0096300307000124
    • Noor M. A., Mohyud-Din S. T., Variational iteration technique for solving higher order boundary value problems Applied Mathematics and Computation 2007 189 2 1929 1942 (Pubitemid 46802801)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.2 , pp. 1929-1942
    • Aslam Noor, M.1    Mohyud-Din, S.T.2
  • 34
    • 43949104375 scopus 로고    scopus 로고
    • Variational iteration method for fifth-order boundary value problems using He's polynomials
    • Noor M. A., Mohyud-Din S. T., Variational iteration method for fifth-order boundary value problems using He's polynomials Mathematical Problems in Engineering 2008 2008 12
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 12
    • Noor, M.A.1    Mohyud-Din, S.T.2


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