Solving Singularly Perturbed Differential-Difference Equations with Dual Layer Using Fourth Order Numerical Method
V. Vidyasagar1, MadhuLatha K2, B. Ravindra Reddy3
1V.Vidyasagar*, Department of Mathematics, Kamala Institute Of Technology & Science, Huzurabad, Telangana, India.
2Madhulatha K, Department of Mathematics, Kamala Institute Of Technology & Science, Huzurabad, Telangana, India.
3B.Ravindra Reddy, Department of Mathematics, JNTUH College of Engineering Hyderabad, India.
Manuscript received on November 13, 2019. | Revised Manuscript received on 23 November, 2019. | Manuscript published on December 10, 2019. | PP: 3770-3773 | Volume-9 Issue-2, December 2019. | Retrieval Number: B6235129219/2019©BEIESP | DOI: 10.35940/ijitee.B6235.129219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we presented a fourth-order numerical method to solve SPDDE with the dual-layer. The answer to the problem shows dual-layer behavior. A fourth-order finite difference plan on a uniform mesh is developed. The result of the delay and also advance parameters on the boundary layer(s) has likewise been evaluated as well as represented in charts. The applicability of the planned plan is actually confirmed through executing it on model examples. To show the accuracy of the method, the results are presented in terms of maximum absolute errors.
Keywords: Differential-Difference Equations, Central Differences, Fourth Order, dual Layer.
Scope of the Article: Numerical Modelling of Structures