Generalized trapezoidal formulas for parabolic equations

International Journal of Computer Mathematics

Volumn 70, Issue 3, 1999, Pages 429-443

  Chawla, M M ^a   Al Zanaidi, M A ^a   Evans, D J ^b  

^a KUWAIT UNIVERSITY   (Kuwait)

^b NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; PROBLEM SOLVING;

CRANK-NICOLSON SCHEME; GENERALIZED TRAPEZOIDAL FORMULAS (GTF);

FINITE DIFFERENCE METHOD;

EID: 0032628859     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804765     Document Type: Article

References (7)

1. Berzins, M., Capon, P. J. and Jimack, P. K. (1998). On spatial adaptivity and interpolation when using the method of lines, Appl. Numer. Math., 26, 117-133.
2. Chawla, M. M., Al-Zanaidi, M. A. and Evans, D. J. (1996). A class of generalized trapezoidal formulas for the numerical integration of y′ = f(x, y), Intern. J. Computer Math., 62, 131-142.
3. Crank, J. and Nicolson, P. (1947). A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, Proc. Comb. Phil. Soc., 43, 50-67.
4. Lawson, J. D. and Morris, J. Ll. (1978). The extrapolation of first order methods for parabolic partial differential equations I, SIAM J. Numer. Anal., 15, 1212-1224.
5. Richtmyer, R. D. and Morton, K. W. (1967). Difference Methods for Initial-value Problems, Interscience Publishers, New York.
6. Smith, G. D. (1978). Numerical Solution of Partial Differential Equations: Finite Difference Methods, Second edn., Oxford Univ. Press, Oxford.
7. Thomas, J. W. (1995). Numerical Partial Differential Equations: Finite Difference Methods, Springer-Verlag, New York.