In this paper we present a formulation of a finite difference Crank–Nicolson scheme for the numerical solution of the unsteady heat equation in 2+1 dimensions, a problem which has not been extensively studied when the spatial domain has an irregular shape. It is based on a second order...

We present a new adaptive-harmonic structured grid generation method. It is based on a functional that shares a common set of minimizers with Ivanenko’s harmonic functional [A.A. Charakhch’yan, S.A. Ivanenko, Curvilinear grids of convex quadrilaterals, Comput. Maths. Math. Phys. 28(2) (1988)...