4TH-ORDER DIFFERENCE METHOD FOR QUASI-LINEAR POISSON EQUATION IN CYLINDRICAL SYMMETRY

Authors
JAIN MK JAIN RK KRISHNA M
Citation
Mk. Jain et al., 4TH-ORDER DIFFERENCE METHOD FOR QUASI-LINEAR POISSON EQUATION IN CYLINDRICAL SYMMETRY, Communications in numerical methods in engineering, 10(4), 1994, pp. 291-296
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
10
Issue
4
Year of publication
1994
Pages
291 - 296
Database
ISI
SICI code
1069-8299(1994)10:4<291:4DMFQP>2.0.ZU;2-5
Abstract
We propose in this paper a nine-point, fourth-order difference method for the numerical solution of the quasilinear Poisson equation Au(zz) + 1/r u(r) + Bu(rr) = f(r, z, u, u(r), u(z)) with appropriate boundary conditions. The method is based on five evaluations of f. The numeric al results of four problems obtained using this method are listed. The results demonstrate the fourth-order accuracy of the method.