J. Talwar

A new single-segment group explicit iteration scheme based on cubic spline approximation for 1D nonlinear parabolic partial differential equations

In this article, we present a new two-step cubic spline method of O(2,4) for estimating the numerical solution of a 1D nonlinear parabolic partial differential equation with appropriate conditions at the initial time level and Dirichlet conditions along the boundary. Furthermore, we present a new single-segment, group-...