Initial-boundary value problems for a reaction-diffusion equation

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

Initial-Boundary Value Problems for the Korteweg-de Vries Equation

Exact and approximate solutions of the initial-boundary value problem for the Korteweg-de Vries equation on the semi-infinite line are found. These solutions are found for both constant and time-dependent boundary values. The form of the solution is found to depend markedly on the specific boundary and initial value. In particular, multiple solutions and nonsteady solutions are possible. The an...

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

Article history: Received 5 February 2010 Available online 26 August 2010 Submitted by P. Broadbridge