We examine a nonlinear partial differential equation of elliptic type with the homogeneous Dirichlet boundary conditions. We prove comparison and maximum princi
In this paper, we have constructed a high accurate difference scheme based on the ENN scheme [1]. The new scheme has 5th-order accuracy in smooth regions and ca
The Ritz vectors obtained by oldi’s method may not be good approximations and even may not converge even if the corresponding Ritz values do. In order to impr
A new class of finite difference schemes is constructed for Fisher partial differential equation i.e. the reaction-diffusion equation with stiff source term:
Jacobi polynomial approximations in multiple dimensions are investigated. They areapplied to numerical solutions of singular differential equations. The converg
In this paper, we present some invariants and conservation laws of general linear methods applied to differential equation systems. We show that the quadratic i