Numerical Solution of the 2-Hessian Equation by a Newton�?¢�?�?��?�?�s Algorithm

Journal of Applied & Computational Mathematics

article

Haj EA¹  Khalil H¹  Hossein M¹ 

[1] Laboratory of Mathematics and Its Applications, Lebanese University

关键词: Numerical solution;    Boundary;    Matrix;    Periodic function;   

DOI  :  10.4172/21689679.1000393

来源: Hilaris Publisher

【 摘 要 】

The elliptic 2-Hessian equation is a fully nonlinear partial differential equation that is related, for example, to intrinsic curvature for three dimensional manifolds. We solve numerically this equation with periodic boundary condition and with Dirichlet boundary condition using a Newton’s algorithm. We verify numerically, by introducing finite difference schemes, the convergence of the algorithm which is obtained in few iterations.

【 授权许可】

Unknown