A simple numerical method for construction of the dependence of solutions to nonlinear boundary value problem on a parameter will be developed. The set of differential equations is diiferentiated with respect to the boundary condition chosen and the resulting partial differential equations are solve
Solution of nonlinear boundary value problems—III a novel method: differentiation with respect to an actual parameter
✍ Scribed by Milan Kubíček; Vladimír Hlaváček
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 360 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0009-2509
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📜 SIMILAR VOLUMES
We consider solutions of boundary value problems for the ordinary differential equation. \(y^{\prime n}=f\left(x, y, y^{\prime}, \ldots, y^{\prime n}{ }^{\prime \prime}\right)\), which satisfy \(g_{i}\left(y(x), \ldots, y^{\prime n}{ }^{11}\left(x_{i}\right)\right)=y_{i}\), \(1 \leqslant i \leqslant
A novel method is described for the numerical solution of a family of nonlinear boundary value problems. This algorithm allows one to find the dependence of the solution y(x, (r) on the parameter 0~. The technique proposed will be illustrated on the example of heat and mass transfer in porous cataly