Document Zbl 0842.65075

Numerical method for nonlinear elliptic singularly perturbed problem. (English) Zbl 0842.65075

J. Nanjing Univ., Nat. Sci. Ed. 30, No. 2, 209-216 (1994).

Some singularly perturbed nonlinear elliptic boundary value problems are transformed into integral equations. These equations are solved by a three-point finite difference scheme. The first-order uniform accuracy of this scheme is proved. A numerical example concerning a linear elliptic boundary value problem is also solved.

Reviewer: C.I.Gheorghiu (Cluj-Napoca)

MSC:

65N38	Boundary element methods for boundary value problems involving PDEs
35B25	Singular perturbations in context of PDEs
65N15	Error bounds for boundary value problems involving PDEs
35J65	Nonlinear boundary value problems for linear elliptic equations

Keywords:

singular perturbation; boundary integral equations; nonlinear elliptic boundary value problems; finite difference scheme; numerical example

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