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New finite-difference method for solving the pair radial equations of the many electron perturbation theory

✍ Scribed by S. Ya. Ischenko; V. B. Pavlov-Verevkin

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
615 KB
Volume
19
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A new convenient and efficient finite‐difference (FD) method is developed for solving the pair radial equations (PRE) of many electron perturbation theory (MPT). This method can be interpreted as the FD analog of the well‐known Fourier method. The method is used to solve PRE arising in the second order of MPT based on the hydrogenic and Hartree–Fock (HF) zero approximations. Being very simple programmed our method gives results comparable with the most accurate variational calculations.

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✍ Wenyuan Liao 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 663 KB

## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear