abstract 72

Bulletin of Computational Applied Mathematics (Bull CompAMa)

72

Anisotropic Newton's kernel in the plane

Carmen Judith Vanegas, Franklin Vargas Jiménez

The goal of this paper is to construct a fundamental solution of the operator $div(B\nabla)$ in the plane, where B is a real symmetric and definite positive matrix, and to find integral representations to the solutions of the stationary inhomogeneous anisotropic equation.

Keywords: Anisotropic Helmholtz operators; fundamental solution; complex quaternions.

Cite this paper:

Vanegas C.J., Vargas F.

Anisotropic Newton's kernel in the plane

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 10, No.1, pp.93-107, 2022.