A 4TH-ORDER DIFFERENCE SCHEME FOR QUASI-LINEAR POISSON EQUATION IN POLAR COORDINATES

Authors
JAIN MK JAIN RK KRISHNA M
Citation
Mk. Jain et al., A 4TH-ORDER DIFFERENCE SCHEME FOR QUASI-LINEAR POISSON EQUATION IN POLAR COORDINATES, Communications in numerical methods in engineering, 10(10), 1994, pp. 791-797
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
10
Issue
10
Year of publication
1994
Pages
791 - 797
Database
ISI
SICI code
1069-8299(1994)10:10<791:A4DSFQ>2.0.ZU;2-O
Abstract
We present in this paper a nine-point, fourth-order difference scheme for the numerical solution of the quasilinear Poisson equation in pola r co-ordinates, Au-rr + 1/r u(r) + 1/r2 u(theta theta) = f(r, theta, u , u(r), u(theta)) with appropriate boundary conditions. A separate dif ference scheme of order four valid at r = 0 has also been obtained. Th e method is based on five evaluations of the function f. The numerical results of two problems obtained using this scheme are listed. The nu merical results demonstrate the fourth-order accuracy of the scheme.