A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations
2020 ◽
Vol 5
(1)
◽
pp. 425-436
◽
Keyword(s):
AbstractThe purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed for this problem which involves appropriate piecewise-uniform Shishkin mesh on each time subinterval. The method is shown to uniformly convergent with respect to the perturbation parameter. A numerical experiment illustrate in practice the result of convergence proved theoretically.
1999 ◽
Vol 20
(4)
◽
pp. 379-387
◽
2019 ◽
Vol 16
(05)
◽
pp. 1840007
◽
2019 ◽
Vol 11
(4)
◽
pp. 476-493
◽