𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solution of nonlinear boundary value problems—VI. Application of compact high-order-difference schemes

✍ Scribed by M. Kubíček; V. Hlaváček; J. Caha


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
434 KB
Volume
27
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis


Three types of difference approximations are used for solution of nonlinear boundary value problems. The schemes considered take advantage simultaneously of all grid points. Tables of coefficients used in the approximations are reported. The methods suggested are illustrated by an example.


📜 SIMILAR VOLUMES


Solution of nonlinear boundary value pro
✍ Milan Kubíček; Vladimímir Hlaváěk 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 306 KB

procedure towards solution of two-point nonlinear boundary value problems for single equation of second order is described. For the correction of missing conditions two algorithms of 3rd order convergence are suggested and, in addition, a comparison with Newton root-finding method is presented. The

Constructive approximation of solution f
✍ Juan Du; Minggen Cui 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB

## Abstract In this paper, we obtain a sequence of approximate solution converging uniformly to the exact solution of a class of fourth‐order nonlinear boundary value problems. Its exact solution is represented in the form of series in the reproducing kernel space. The __n__‐term approximation __u_

Strict Stability of High-Order Compact I
✍ Saul S. Abarbanel; Alina E. Chertock 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 248 KB

Temporal, or "strict," stability of approximation to PDEs is much more difficult to achieve than the "classical" Lax stability. In this paper, we present a class of finitedifference schemes for hyperbolic initial boundary value problems in one and two space dimensions that possess the property of st