메뉴 건너뛰기




Volumn 38, Issue 2, 1999, Pages 51-59

Extended trapezoidal formula for the diffusion equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; INTEGRATION; PROBLEM SOLVING;

EID: 0033165278     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00182-0     Document Type: Article
Times cited : (10)

References (9)
  • 1
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
    • 1. J. Crank and P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, Proc. Camb. Phil. Soc. 43, 50-67 (1947).
    • (1947) Proc. Camb. Phil. Soc. , vol.43 , pp. 50-67
    • Crank, J.1    Nicolson, P.2
  • 3
    • 0001485780 scopus 로고
    • The extrapolation of first order methods for parabolic partial differential equations I
    • 3. J.D. Lawson and J.L. Morris, The extrapolation of first order methods for parabolic partial differential equations I, SIAM J. Numer. Anal. 15, 1212-1224 (1978).
    • (1978) Siam J. Numer. Anal. , vol.15 , pp. 1212-1224
    • Lawson, J.D.1    Morris, J.L.2
  • 5
    • 0031633524 scopus 로고    scopus 로고
    • On spatial adaptivity and interpolation when using the method of lines
    • 5. M. Berzins, P.J. Capon and P.K. Jimack, On spatial adaptivity and interpolation when using the method of lines, Appl. Numer. Math. 26, 117-133 (1998).
    • (1998) Appl. Numer. Math. , vol.26 , pp. 117-133
    • Berzins, M.1    Capon, P.J.2    Jimack, P.K.3
  • 7
    • 0022247743 scopus 로고
    • An a-stable extended trapezoidal rule for the numerical integration of ordinary differential equations
    • 7. R.A. Usmani and R.P. Agarwal, An A-stable extended trapezoidal rule for the numerical integration of ordinary differential equations, Computers Math. Applic. 11 (12), 1183-1191 (1985).
    • (1985) Computers Math. Applic. , vol.11 , Issue.12 , pp. 1183-1191
    • Usmani, R.A.1    Agarwal, R.P.2
  • 8
    • 0001355110 scopus 로고
    • Extended one-step methods for the numerical solution of ordinary differential equations
    • 8. I.B. Jacques, Extended one-step methods for the numerical solution of ordinary differential equations, Intern. J. Computer Math. 29, 247-255 (1989).
    • (1989) Intern. J. Computer Math. , vol.29 , pp. 247-255
    • Jacques, I.B.1
  • 9
    • 0030385580 scopus 로고    scopus 로고
    • A class of generalized trapezoidal formulas for the numerical integration of y′ = f (x, y)
    • 9. M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, A class of generalized trapezoidal formulas for the numerical integration of y′ = f (x, y), Intern. J. Computer Math. 62, 131-142 (1996).
    • (1996) Intern. J. Computer Math. , vol.62 , pp. 131-142
    • Chawla, M.M.1    Al-Zanaidi, M.A.2    Evans, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.