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- Title
Complete flux scheme for parabolic singularly perturbed differential‐difference equations.
- Authors
Kumar, Sunil; Rathish Kumar, Bayya Venkatesulu; Ten Thije Boonkkamp, Johannes Hendrikus Maria
- Abstract
In this study, we investigate the concept of the complete flux (CF) obtained as a solution to a local boundary value problem (BVP) for a given parabolic singularly perturbed differential‐difference equation (SPDDE) with modified source term to propose an efficient complete flux‐finite volume method (CF‐FVM) for parabolic SPDDE which is μ‐ and ϵ‐uniform method where μ, ϵ are shift and perturbation parameters, respectively. The proposed numerical method is shown to be consistent, stable, and convergent and has been successfully implemented on three test problems.
- Subjects
FINITE element method; VOLTERRA equations; GALERKIN methods; BOUNDARY value problems; RANDOM projection method
- Publication
Numerical Methods for Partial Differential Equations, 2019, Vol 35, Issue 2, p790
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.22325