Parameter-Uniform Numerical Scheme for Singularly Perturbed Delay Parabolic Reaction Diffusion Equations with Integral Boundary Condition
Keyword(s):
Numerical computation for the class of singularly perturbed delay parabolic reaction diffusion equations with integral boundary condition has been considered. A parameter-uniform numerical method is constructed via the nonstandard finite difference method for the spatial direction, and the backward Euler method for the resulting system of initial value problems in temporal direction is used. The integral boundary condition is treated using numerical integration techniques. Maximum absolute errors and the rate of convergence for different values of perturbation parameter ε and mesh sizes are tabulated for two model examples. The proposed method is shown to be parameter-uniformly convergent.
2020 ◽
Vol 1
(1)
◽
2019 ◽
Vol 5
(3)
◽
2019 ◽
Vol 25
(2)
◽
pp. 231-242
2019 ◽
Vol 18
(2)
◽
pp. 99-110
2020 ◽
Vol 1
(1)
◽
2022 ◽
pp. 106232
2020 ◽
Vol 1546
◽
pp. 012104
A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation
2005 ◽
Vol 21
(1)
◽
pp. 101-104
◽