메뉴 건너뛰기




Volumn 56, Issue 6, 2008, Pages 1488-1495

An approximation to solutions of linear ODE by cubic interpolation

Author keywords

Cubic interpolation; Least square method; Ordinary linear differential equations; Taylor method

Indexed keywords

BESSEL FUNCTIONS; COMPUTER SYSTEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; EXTRAPOLATION; INTERPOLATION; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIAL APPROXIMATION; QUANTUM ELECTRONICS; QUANTUM OPTICS; WAVE EQUATIONS;

EID: 47049123739     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.03.024     Document Type: Article
Times cited : (7)

References (16)
  • 3
    • 31144467251 scopus 로고    scopus 로고
    • A mechanical algorithm for solving ordinary differential equation
    • Wang W., and Li Z. A mechanical algorithm for solving ordinary differential equation. Appl. Math. Comput. 172 (2006) 568-583
    • (2006) Appl. Math. Comput. , vol.172 , pp. 568-583
    • Wang, W.1    Li, Z.2
  • 5
    • 0348046421 scopus 로고    scopus 로고
    • Least squares methods for solving differential equations using Bezier control points
    • Zheng J., Sederberg T., and Johnson R. Least squares methods for solving differential equations using Bezier control points. Appl. Numer. Math. 48 (2004) 237-252
    • (2004) Appl. Numer. Math. , vol.48 , pp. 237-252
    • Zheng, J.1    Sederberg, T.2    Johnson, R.3
  • 6
    • 34247379940 scopus 로고    scopus 로고
    • Solutions of differential equations in a Bernstein polynomial basis
    • Idrees Bhatti M., and Bracken P. Solutions of differential equations in a Bernstein polynomial basis. J. Comput. Appl. Math. 2007 (2007) 272-280
    • (2007) J. Comput. Appl. Math. , vol.2007 , pp. 272-280
    • Idrees Bhatti, M.1    Bracken, P.2
  • 7
    • 33748041149 scopus 로고    scopus 로고
    • A numerical solution of Burger's equation based on least squares approximation
    • Aksan E.N., Özdeş A., and Öziş T. A numerical solution of Burger's equation based on least squares approximation. Appl. Math. Comput. 176 (2006) 270-279
    • (2006) Appl. Math. Comput. , vol.176 , pp. 270-279
    • Aksan, E.N.1    Özdeş, A.2    Öziş, T.3
  • 8
    • 33746189359 scopus 로고    scopus 로고
    • A numerical method for solving non-autonomous systems based on linear programming
    • Mehne H.H. A numerical method for solving non-autonomous systems based on linear programming. Appl. Math. Comput. 178 (2006) 287-294
    • (2006) Appl. Math. Comput. , vol.178 , pp. 287-294
    • Mehne, H.H.1
  • 11
    • 0029220278 scopus 로고
    • Practical numerical algorithms part I
    • Hindmarsh A.C., and Petzold L.R. Practical numerical algorithms part I. Comput. Phys. 9 1 (1995) 34-41
    • (1995) Comput. Phys. , vol.9 , Issue.1 , pp. 34-41
    • Hindmarsh, A.C.1    Petzold, L.R.2
  • 12
    • 0000308198 scopus 로고
    • Practical numerical algorithms part II
    • Hindmarsh A.C., and Petzold L.R. Practical numerical algorithms part II. Comput. Phys. 9 2 (1995) 148-155
    • (1995) Comput. Phys. , vol.9 , Issue.2 , pp. 148-155
    • Hindmarsh, A.C.1    Petzold, L.R.2
  • 15
    • 34548802461 scopus 로고    scopus 로고
    • Classical and quantum three dimensional integrable systems with axial symmetry
    • Gadella M., Negro J., and Pronko G.P. Classical and quantum three dimensional integrable systems with axial symmetry. J. Phys. A 40 (2007) 10791-10806
    • (2007) J. Phys. A , vol.40 , pp. 10791-10806
    • Gadella, M.1    Negro, J.2    Pronko, G.P.3
  • 16
    • 47049127820 scopus 로고
    • Erdelyi A. (Ed), Robert E. Krieger Publishing Company, Malabar Florida
    • In: Erdelyi A. (Ed). Higher Transcendental Functions (1981), Robert E. Krieger Publishing Company, Malabar Florida 134-158
    • (1981) Higher Transcendental Functions , pp. 134-158


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.