๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Interpolation perturbation method for solving the boundary layer type problems

โœ Scribed by Yuan Yiwu

Publisher
Springer
Year
1996
Tongue
English
Weight
362 KB
Volume
17
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, on the basis of Ref. [I], the author studies the boundary value problems of the second-order differential equations, the highest order derivatives of which contain the small parameters. The numerical examples show that the calculating process of this method is quite simple and its accuracy is even higher t.han that of the multiple scales method.

๐Ÿ“œ SIMILAR VOLUMES

Homotopy perturbation method for solving
Homotopy perturbation method for solving sixth-order boundary value problems
โœ Muhammad Aslam Noor; Syed Tauseef Mohyud-Din ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

In this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equatio

Perturbation boundaryโ€“finite element com
Perturbation boundaryโ€“finite element combined method for solving the linear creep problem
โœ Haitian Yang; Xinglin Guo ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

This paper presents a perturbation and ยฎniteยฑboundary element combined approach for solving the problem of linear creep. Compared with the conventional incremental method, the ยฎeld variables, without assumptions of remaining constant or varying linearly with time within a discretised time interval,

Variable mesh spline approximation metho
Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
โœ M.K. Kadalbajoo; K.C. Patidar ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 788 KB

A numerical method based on cubic spline with nonuniform grid is given for the singularly perturbed two-point boundary value problems having turning point. The scheme derived in this paper is second-order accurate. Numerical examples are given to support the predicted theory.