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Solution of nonlinear boundary value problems—VII A novel method: differentiation with respect to boundary condition

✍ Scribed by Milan Kubíček; Vladimír Hlaváček

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
286 KB
Volume
28
Category
Article
ISSN
0009-2509

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✦ Synopsis

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 solved by a finite-difference method. The method is illustrated by an example of heat and mass transfer in a porous catalyst.

📜 SIMILAR VOLUMES

Differentiation of Solutions of Boundary
Differentiation of Solutions of Boundary Value Problems with Respect to Nonlinear Boundary Conditions
✍ J.A. Ehme 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 276 KB

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

Solution of nonlinear boundary value pro
Solution of nonlinear boundary value problems—Va a novel method: general parameter mapping (GPM)
✍ M. Kubíček; V. Hlaváček 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 553 KB

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