TY - JOUR
T1 - A Numerical Technique for Direct Solution of Special Fourth Order Ordinary Differential Equation Via Hybrid Linear Multistep Method
AU - Abd'gafar, Tiamiyu
AU - Kazeem Iyanda, Falade
AU - Rauf, Quadri
AU - Akande, Sıkırulaı
PY - 2021
DA - May
JF - Cankaya University Journal of Science and Engineering
JO - CUJSE
PB - Cankaya University
WT - DergiPark
SN - 2564-7954
SP - 47
EP - 60
VL - 18
IS - 1
LA - en
AB - We propose and present a self-starting numerical approximation with a higher orderof accuracy for direct solution of a special fourth-order ordinary differential equation(ODE) using a Hybrid Linear Multistep Method (HLMM). The technique utilizes thecollocation and interpolation approach with six-step numbers and two off-step pointsusing power series as the basis function. Error constants and basic properties provedthe convergence of the method. Numerical experiments involving both linear, nonlinear, and linear systems of fourth-order initial value problems appearing in modelingof physical phenomenon from various areas of applied sciences were used to demonstrate the effectiveness and efficiency of the proposed method. The results revealed thatthe proposed method is an excellent choice for approximating general fourth-order ODEand shows the impact of choices of step sizes in the numerical solution of the problemconsidered. In addition, the proposed HLMM outperformed existing methods in theliterature in terms of accuracy
KW - HLMM
KW - Numerical approximation
KW - Fourth-order ordinary
differential equation
KW - Self-starting
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UR - https://dergipark.org.tr/en/pub/cankujse/issue/61974/820011
L1 - https://dergipark.org.tr/en/download/article-file/1376203
ER -