| Title | NUMERICAL METHODS FOR QUASILINEAR PARABOLIC DIFFERENTIAL FUNCTIONAL EQUATIONS WITH NEUMANN INITIAL BOUNDARY CONDITIONS |
| Publication Type | Journal Article |
| Year of Publication | 2006 |
| Authors | Ciarski, R |
| Secondary Title | Communications in Applied Analysis |
| Volume | 10 |
| Issue | 3 |
| Start Page | 313 |
| Pagination | 329 |
| Date Published | 08/2006 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 35R10, 65M12 |
| Abstract | The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type and coefficients satisfying Perron estimates. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on local properties of the coefficients of the differential equation. A numerical example is given. |
| URL | http://www.acadsol.eu/en/articles/10/3/4.pdf |
| Short Title | Numerical Methods for Quasilinear Parabolic Equations |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] R. Ciarski, Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type, Ann. Polon. Math., 84 (2004), no. 2, 103-119.
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