Singularly perturbed 2D parabolic delay differential equations with the discontinuous source term and convection coefficient are taken into consideration in this paper. For the time derivative, we use the fractional implicit Euler method, followed by the fitted finite difference method with bilinear interpolation for locally one-dimensional problems. The proposed method is shown to be almost first-order convergent in the spatial direction and first-order convergent in the temporal direction. Theoretical results are illustrated with numerical examples.
机构:
Univ Zaragoza, Dept Appl Math, C Maria Luna 3, Zaragoza, Spain
Univ Zaragoza, IUMA, Zaragoza, SpainUniv Zaragoza, Dept Appl Math, C Maria Luna 3, Zaragoza, Spain
Clavero, Carmelo
Carlos Jorge, Juan
论文数: 0引用数: 0
h-index: 0
机构:
Univ Publ Navarra, Dept Computat & Math Engn, Pamplona, SpainUniv Zaragoza, Dept Appl Math, C Maria Luna 3, Zaragoza, Spain
Carlos Jorge, Juan
BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS - BAIL 2014,
2015,
108
: 75
-
85