Two-sided numerical methods of solution of heterogeneous one-dimensional integral equations of second kind. (Ukrainian. English summary) Zbl 0979.65117

Kalajda, O. F.

Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 82-85 (2000).

Summary: With the help of two-sided formulas of numerical integration some two-sided numerical and numerical-analytical methods for the solution of one-dimensional linear heterogeneous and nonlinear integral equations of the second kind are developed. These methods give a practical possibility to approximate the solutions with the prescribed accuracy.

MSC:

65R20	Numerical methods for integral equations
45A05	Linear integral equations
45G10	Other nonlinear integral equations

Keywords:

linear heterogeneous equations; nonlinear integral equations of the second kind; numerical-analytical methods; two-sided methods