A stable nonlinear mid-point formula for solving O.D.E.'s (Q1104705)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A stable nonlinear mid-point formula for solving O.D.E.'s |
scientific article; zbMATH DE number 4056907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stable nonlinear mid-point formula for solving O.D.E.'s |
scientific article; zbMATH DE number 4056907 |
Statements
A stable nonlinear mid-point formula for solving O.D.E.'s (English)
0 references
1988
0 references
Two formulae \((1)\quad Y_{n+1}=y_ n+h(\sqrt{f_{n-1}f_ n}+\sqrt{f_ nf_{n-1}})\) (of the second order) and \(y_{n+1}=y_ n+h/6(\sqrt{f_{n-1}f_ n}+7\sqrt{f_ nf_{n+1}}-2\sqrt{f_{n- 1}f_{n+1}}\) (of third order) are given for the numerical solution of the Cauchy problem \(y'=f(x,y)\). The stability properties of (1) are studied.
0 references
mid-point formula
0 references
Cauchy problem
0 references
stability
0 references
