메뉴 건너뛰기
Applied Mathematics and Computation
Volumn 182, Issue 2, 2006, Pages 1247-1254
An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
Author keywords

Decomposition method; Eigenfunctions; Eigenvalues; Sturm Liouville problems
Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS;
EID: 33751512653     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.011     Document Type: Article
Times cited : (32)
References (14)
  • 1
    • 0002133460 scopus 로고
    • Practical formulae for the calculus of multivariate Adomian polynomials
    • Abbaoui K., Cherruault Y., and Seng V. Practical formulae for the calculus of multivariate Adomian polynomials. Math. Comput. Model. 22 (1995) 89-93
    • (1995) Math. Comput. Model. , vol.22 , pp. 89-93
    • Abbaoui, K.1    Cherruault, Y.2    Seng, V.3
  • 2
    • 43949159125 scopus 로고
    • Convergence of Adomian's method applied to differential equations
    • Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 28 (1994) 103-109
    • (1994) Comput. Math. Appl. , vol.28 , pp. 103-109
    • Abbaoui, K.1    Cherruault, Y.2
  • 3
    • 0037054950 scopus 로고    scopus 로고
    • Different applications for the differential transformation in the differential equations
    • Abdel-Halim Hassan I.H. Different applications for the differential transformation in the differential equations. Appl. Math. Comput. 129 (2002) 183-201
    • (2002) Appl. Math. Comput. , vol.129 , pp. 183-201
    • Abdel-Halim Hassan, I.H.1
  • 4
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 6
    • 38249007856 scopus 로고
    • Generalization of Adomian polynomials to functions of several variables
    • Adomian G., and Rach R. Generalization of Adomian polynomials to functions of several variables. Comput. Math. Appl. 24 (1992) 11-24
    • (1992) Comput. Math. Appl. , vol.24 , pp. 11-24
    • Adomian, G.1    Rach, R.2
  • 7
    • 26044465275 scopus 로고    scopus 로고
    • The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems
    • Attili B.S. The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems. Appl. Math. Comput. 168 (2005) 1306-1316
    • (2005) Appl. Math. Comput. , vol.168 , pp. 1306-1316
    • Attili, B.S.1
  • 8
    • 0001586521 scopus 로고
    • Computing eigenvalues of singular Sturm-Liouville problems
    • Baily P., Everitt W., and Zettl A. Computing eigenvalues of singular Sturm-Liouville problems. Results Math. 20 (1991) 391-423
    • (1991) Results Math. , vol.20 , pp. 391-423
    • Baily, P.1    Everitt, W.2    Zettl, A.3
  • 10
    • 33751502841 scopus 로고    scopus 로고
    • C. Fulton, S. Pruess, Mathematical software for Sturm-Liouville problems, NSF Final report for grants DMS88-13113 and DMS88-00839, Computational Mathematics, 1991.
  • 11
    • 0038659316 scopus 로고
    • An oscillation method for fourth order self-adjoint two-point boundary value problems with nonlinear eigenvalues
    • Greenberg L. An oscillation method for fourth order self-adjoint two-point boundary value problems with nonlinear eigenvalues. SIAM J. Math. Anal. 22 (1991) 1021-1042
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1021-1042
    • Greenberg, L.1
  • 12
    • 0038931055 scopus 로고
    • Oscillation theory and numerical solution of fourth order Sturm-Liouville problems
    • Greenberg L., and Marletta M. Oscillation theory and numerical solution of fourth order Sturm-Liouville problems. IMA J. Numer. Anal. 15 (1995) 319-356
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 319-356
    • Greenberg, L.1    Marletta, M.2
  • 13
    • 0031376840 scopus 로고    scopus 로고
    • Algorithm 775: The code SLEUTH for solving fourth order Sturm-Liouville problems
    • Greenberg L., and Marletta M. Algorithm 775: The code SLEUTH for solving fourth order Sturm-Liouville problems. ACM Trans. Math. Software 23 (1997) 453-493
    • (1997) ACM Trans. Math. Software , vol.23 , pp. 453-493
    • Greenberg, L.1    Marletta, M.2
  • 14
    • 0034517078 scopus 로고    scopus 로고
    • Numerical methods for higher order Sturm-Liouville problems
    • Greenberg L., and Marletta M. Numerical methods for higher order Sturm-Liouville problems. J. Comput. Appl. Math. 125 (2000) 367-383
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 367-383
    • Greenberg, L.1    Marletta, M.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.