Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...
We study the orthogonal spline collocation (OSC) solution of a homogeneous Dirichlet boundary value problem in a rectangle for a general nonlinear elliptic partial differential equation. The ...
Integral representations for the solution of linear elliptic partial differential equations (PDEs) can be obtained using Green's theorem. However, these representations involve both the Dirichlet and ...
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