Nonlinear convection-dispersion models with a distributed pollutant source I: Direct initial boundary value problems

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Equidistribution grids for two-parameter convection–diffusion boundary-value problems

In this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. A numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. Truncation errors are derived for both continuous and discontinuous problems. Parameter uni...

approximating initial-value problems with two-point boundary-value problems: bbm-equation

Problems with nonlinear boundary value conditions

The existence and multiplicity results are shown for certain types of problems with nonlinear boundary value conditions.

Fully Nonlinear Boundary Value Problems with Impulses

An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth...