This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

In the past few decades, a large number of mathematical models have been applied for biological studies. In addition, mathematical models give a deeper conceptual understanding of behavioral dynamics ...

The small dispersion limit of solutions to the Camassa-Holm (CH) equation is characterized by the appearance of a zone of rapid modulated oscillations. An asymptotic description of these oscillations ...

Department of Physics, Norwegian University of Science and Technology, Trondheim, Norway A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation ...

This paper concerns the numerical solution of the two-dimensional time-dependent partial integro-differential equation that holds for the values of European-style options under the two-asset Kou ...

The present article is dedicated to the numerical solution of the Poisson equation on domains with a thin layer of different conductivity and of random thickness. By changing the boundary condition, ...