In this paper we study the numerical solution of parabolic Volterra integro-differential equations on certain unbounded two-dimensional spatial domains. The method is based on the introduction of a feasible artificial boundary and the derivation of corresponding artificial (fully transparent) boundary conditions. Two examples illustrate the application and numerical performance of the method.
Scopus Subject Areas
- Computational Mathematics
- Applied Mathematics
- Artificial boundary conditions
- Numerical solution
- Partial Volterra integro-differential equation
- Unbounded spatial domain