An elliptic-problem in combustion theory: convergence to travelling waves
Nonlinear Analysis: Theory, Methods & Applications
Nonlocal boundary value problems for the Schrödinger equation
Computers & Mathematics with Applications
On the numerical solution of the heat conduction equations subject to nonlocal conditions
Applied Numerical Mathematics
Finite-difference methods for solution of nonlocal boundary value problems
Computers & Mathematics with Applications
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A finite difference method for solving the multipoint elliptic-parabolic partial differential equation with a nonlocal boundary condition is considered. Stable difference schemes accurate to first and second orders for this problem are presented. Stability, almost coercive stability and coercive stability for the solution of these difference schemes are obtained. The theoretical statements for the solution of these difference schemes are supported by numerical examples.