Volume 5, Issue 2 , 2017

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https://ir.unilag.edu.ng/handle/123456789/3815

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Browsing Volume 5, Issue 2 , 2017 by Author "Akinfenwa, O.A"

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    Open Access
    A P-stable Linear Multistep Method for Solving Stiff Delay Differential Equations
    (University of Lagos Press, Akoka, 2017) Akinfenwa, O.A; Abdulganiy, R.I; Okunuga, S.A; Obinna, U.K
    In this paper, a P-stable linear multistep method is derived for the numerical solution of delay differential equations (DDEs). The method has order k+1 and implemented using a constant step size in a block by block fashion. The Pstability region of the method is discussed. The numerical results revealed that the method is efficient and reliable for the solutions of first order delay differential equations. Tables 1-4 presented for some standard delay problems show theaccuracy of the method when compared to those in the literature.
  • Item
    Open Access
    A Simpson Type Trigonometrically Fitted Block Scheme for Numerical Integration of Oscillatory Problems
    (University of Lagos Press, Akoka, 2017) Abdulganiy, O.A; Akinfenwa, O.A; Okunuga, S.A
    The construction of Second Derivative Trigonometrically Fitted Block Scheme of Simpson Type (TFBSST) of algebraic order 6via collocation techniques is considered for the solution of oscillatory problems. A Continuous Second Derivative Trigonometrically Fitted method (CSDTF) whose coefficients depend on the frequency and step size is constructed using trigonometric basis function. The CSDTF is used to generate the main method and one additional method which are combined and applied in block form as simultaneous numerical integrators. The investigation of the stability properties of the method shows that the method is zero stable, consistent and convergent. Numerical examples presented show that the method is accurate and efficient.