Uittreksel
| Originele taal-2 | Engels |
|---|---|
| Pagina's (van-tot) | 790-804 |
| Aantal pagina's | 15 |
| Tijdschrift | Numerical Methods for Partial Differential Equations |
| Volume | 35 |
| Nummer van het tijdschrift | 2 |
| Vroegere onlinedatum | 3 dec 2018 |
| DOI's | |
| Status | Gepubliceerd - 1 mrt 2019 |
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Complete flux scheme for parabolic singularly perturbed differential-difference equations. / Kumar, Sunil (Corresponding author); Rathish Kumar, Bayya Venkatesulu; ten Thije Boonkkamp, J.H.M.
In: Numerical Methods for Partial Differential Equations, Vol. 35, Nr. 2, 01.03.2019, blz. 790-804.Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review
TY - JOUR
T1 - Complete flux scheme for parabolic singularly perturbed differential-difference equations
AU - Kumar, Sunil
AU - Rathish Kumar, Bayya Venkatesulu
AU - ten Thije Boonkkamp, J.H.M.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - differential-difference equations, finite volume method, flux, integral representation of the flux, singularly perturbed problems
U2 - 10.1002/num.22325
DO - 10.1002/num.22325
M3 - Article
VL - 35
SP - 790
EP - 804
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
SN - 0749-159X
IS - 2
ER -