New algorithm for second-order boundary value problems of integro-differential equation

Journal of Computational and Applied Mathematics

Volumn 229, Issue 1, 2009, Pages 1-6

  Yulan, Wang ^a   Chaolu, Temuer ^a,b   Jing, Pang ^a  

^a INNER MONGOLIA UNIVERSITY OF TECHNOLOGY   (China)

^b SHANGHAI MARITIME UNIVERSITY   (China)

Author keywords

Integro differential equation; Iterative method; Reproducing kernel space

Indexed keywords

ANALYTICAL SOLUTIONS; APPROXIMATE SOLUTIONS; BOUNDARY VALUES; INITIAL FUNCTIONS; INTEGRO-DIFFERENTIAL EQUATION; NUMERICAL EXAMPLES; REPRODUCING KERNEL SPACE; SECOND-ORDER BOUNDARY VALUE PROBLEMS;

INTEGRODIFFERENTIAL EQUATIONS;

ITERATIVE METHODS;

EID: 65049090776     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.10.007     Document Type: Review

References (10)

1. Wang Z., Liu L., and Wu Y. The unique solution of boundary value problems for nonlinear second-order integaral-differential equations of mixed type in Banach spaces[J]. Computers and Mathematics with Applications 54 9-10 (2007) 1293-1301
2. Feng M., and Pang H. A class of three point boundary value problems for second order impulsive integro-differential equations in Banach spaces[J]. Nonlinear Analysis (2007) 10.1016/j.na.2007.11.033
3. Yang X., and Shen J. Periodic boundary value problems for second-order impulsive integro-differential equations[J]. Journal of Computational and Applied Mathematics 209 2 (2007) 176-186
4. Yang L., and Cui M. New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space[J]. Applied Mathematics and Computation 174 2 (2006) 942-960
5. Du H., and Cui M. Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space[J]. Applied Mathematics and Computation 182 2 (2006) 1608-1614
6. Cui M., and Du H. Representation of exact solution for the nonlinear Volterra-Fredholm integral equations[J]. Applied Mathematics and Computation 182 2 (2006) 1795-1802
7. Yulan W., and Lu C. Using reproducing kernel for solving a class of partial differential equation with variable-coeffients[J]. Applied Mathematics and Mechanics 29 1 (2008) 129-137
8. 2) + C (v) = f[J]. Applied Mathematics and Computation 153 2 (2004) 403-416
9. Cui M., and Geng F. Solving singular two point boundary value problems in reproducing kernel space[J]. Journal of Computational and Applied Mathematics 205 1 (2007) 6-15
10. Aronszajn N. Theory of reproducing kernel[J]. Trans, A.M.S. 68 (1950) 337-404