Hybrid multistep block method for solving neutral delay differential equations

Nur Inshirah Naqiah Ismail, and Zanariah Abdul Majid, and Norazak Senu, (2020) Hybrid multistep block method for solving neutral delay differential equations. Sains Malaysiana, 49 (4). pp. 929-940. ISSN 0126-6039


Official URL: http://www.ukm.my/jsm/malay_journals/jilid49bil4_2...


The initial-value problem for first order single linear neutral delay differential equations (NDDEs) of constant and pantograph delay types have been solved by using hybrid multistep block method. The method has been derived by applying Taylor series interpolation polynomial and implementing the predictor-corrector formulas in PE(CE)m mode where m is the number of iterations for the proposed method. Both types of NDDEs will be solved at two-point simultaneously including the off-step point with constant step-size. In order to find the solution for NDDEs, the delay solutions of the unknown function will be interpolated using Lagrange interpolation polynomial and the derivative of the delay solutions will be obtained by applying divided difference formula. The order, consistency and convergence of the proposed method have been discussed in detail in the methods section. The properties of stability region for NDDEs have also been analysed. Numerical results presented have concluded that the proposed method is comparable with the existing method and is assumed to be reliable for solving first order NDDEs with constant and pantograph delay.

Item Type:Article
Keywords:Constant delay; Multistep block method; Neutral delay differential equations; Off-step point; Pantograph delay
Journal:Sains Malaysiana
ID Code:15364
Deposited By: ms aida -
Deposited On:13 Oct 2020 01:19
Last Modified:16 Oct 2020 01:18

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