FD method of arbitrary uniform order of accuracy for solving singularly perturbed boundary problems for second-order ordinary differential equations

Journal Article · Sun Dec 10 00:00:00 EST 1995 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/BF02367988· OSTI ID:237505

Grekov, L D; Krasnikov, V M

Using a functional-discrete approach, three-point difference schemes of arbitrary order of accuracy are constructed for solving the Dirichlet problem for second-order ordinary differential equations (ODE) with a small parameter multiplying the leading derivative. The uniform convergence of the schemes with respect to the small parameter is proved, and a recursive algorithm for their realization is constructed.

• Sponsoring Organization: USDOE
• OSTI ID: 237505
• Journal Information: Journal of Mathematical Sciences, Vol. 77, Issue 5; Other Information: PBD: 10 Dec 1995; TN: Translated from Obchyslyuval`na ta Prykladna Matematyka; No. 77, 35-43(1993)
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
PARTIAL DIFFERENTIAL EQUATIONS
ITERATIVE METHODS
CONVERGENCE
BOUNDARY-VALUE PROBLEMS
FUNCTIONALS