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Domain decomposition method for singularly perturbed differential difference equations with layer behavior

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dc.contributor.author Gemechis File
dc.contributor.author Y. N. Reddy
dc.date.accessioned 2020-12-09T13:07:59Z
dc.date.available 2020-12-09T13:07:59Z
dc.date.issued 2015-02
dc.identifier.uri http://10.140.5.162//handle/123456789/2374
dc.description.abstract In this paper, a domain decomposition method has been presented for solving singularly perturbed differential difference equations with delay as well as advances whose solution exhibits boundary layer behavior. By introducing a terminal point, the original problem is divided into inner and outer region problems. An implicit terminal boundary condition at the terminal point has been determined. The outer region problem with the implicit boundary condition is solved and produces an explicit boundary condition for the inner region problem. Then, the modified inner region problem (using the stretching transformation) is solved as a two-point boundary value problem. Fourth order stable central difference method has been used to solve both the inner and outer region problems. The proposed method is iterative on the terminal point. To demonstrate the applicability of the method, some numerical examples have been solved for different values of the perturbation parameter, delay and advance parameters. The stability and convergence of the scheme has also investigated. en_US
dc.language.iso en en_US
dc.subject Singular perturbation en_US
dc.subject Differential difference equations en_US
dc.subject Finite Differences en_US
dc.subject Terminal Boundary Condition en_US
dc.subject Boundary layer en_US
dc.title Domain decomposition method for singularly perturbed differential difference equations with layer behavior en_US
dc.type Article en_US


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