𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solution of nonlinear boundary value problems — I method of third order convergence for solution of nonlinear two-point boundary value problems single second order equation

✍ Scribed by Milan Kubíček; Vladimímir Hlaváěk

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
306 KB
Volume
25
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis

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 number of iterations required is lower and, furthermore, the range of convergence is higher in comparison to Newton procedure. An example of application is presented.

📜 SIMILAR VOLUMES

Numerical solution of two-point boundary
Numerical solution of two-point boundary value problems in simultaneous second-order nonlinear ordinary differential equations
✍ Shean-Lin Liu 📂 Article 📅 1967 🏛 Elsevier Science 🌐 English ⚖ 838 KB

Systems of simultaneous second-order nonlinear ordinary differential equations with boundary conditions at two points are solved by a new numerical scheme. By adding fictitious accumulation terms, ordinary differential equations become parabolic partial differential equations. A stable numerical met

Constructive approximation of solution f
Constructive approximation of solution for fourth-order nonlinear boundary value problems
✍ 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_

Multiple Positive Solutions of Nonlinear
Multiple Positive Solutions of Nonlinear Two-Point Boundary Value Problems
✍ Zhaoli Liu; Fuyi Li 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 172 KB

We improve the results obtained by Erbe, Hu, and Wang in a recent paper. We show that there exist at least two positive solutions of two-point boundary value problems under conditions weaker than those used by Erbe, Hu, and Wang.