Reproducing kernel methods for solving linear initial-boundary-value problems

Electronic Journal of Differential Equations

Volumn 2008, Issue , 2008, Pages 1-11

  Yang, Li Hong ^a   Lin, Yingzhen ^b  

^a HARBIN ENGINEERING UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Hyperbolic equation; Linear initial boundary conditions; Reproducing kernel space

Indexed keywords

EID: 40849103021     PISSN: None     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. K. George, E.H. Twizell; Stable second-order finite-difference methods for linear initial-boundary-value problems, Applied Mathematics Letters, 19(2006) 146-154.
2. Lihong Yang, Minggen Cui; New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space, Applied Mathematics and Computation, 174(2006) 942-960.
3. N. Aronszajn; Theory of reproducing kernels, Trans. AMS, 68(1950): 337-404.
4. R. D. Russell, L. F. Shampine; A collocation method for boundary value problems, Numer. Math., 19(1972) 1-28.
5. Samuel Jatoe, Zachariah Sinkala; A High order B-spline collocation method for linear boundary value problems, Applied Mathematics and Computations, DOI: 10.1016/j.amc.2007.02.027.