A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions

Journal of Computational and Applied Mathematics

Volumn 76, Issue 1-2, 1996, Pages 137-146

  Sun, Zhi Zhong ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Convergence; Finite difference; Nonlocal; Parabolic; Solvability

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

NONLOCAL PARABOLIC EQUATIONS;

DIFFERENCE EQUATIONS;

EID: 0030411024     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0377-0427(96)00097-0     Document Type: Article

References (5)

1. Y. Lin and R.J. Tait, Finite-difference approximations for a class of nonlocal parabolic boundary value problems, J. Comput. Appl. Math. 47 (1993) 335-350.
2. J.R. Rice and M.P. Cleary, Some basic stress diffusion solutions for fluid-saturated porous media with compressible constitutions, Rev. Geophys. Space Phys. 14 (2) (1976) 227-241.
3. Zhi-Zhong Sun, The method of the reduction of order for the numerical solution to elliptic differential equations, J. Southeast Univ. 23 (6) (1993) 8-16 (in Chinese).
4. Zhi-Zhong Sun, A new class of difference schemes for linear parabolic differential equations, Math. Numer. Sinica, 16 (2) (1994) 115-130 (in Chinese); Chinese J. Numer. Math. Appl. 16 (3) (1994) 1-20.
5. Zhi-Zhong Sun, A new class of difference schemes for linear parabolic differential equations, Math. Numer. Sinica, 16 (2) (1994) 115-130 (in Chinese); Chinese J. Numer. Math. Appl. 16 (3) (1994) 1-20.