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On the Derivation and Implementation of a One-step Algorithm for Third Order Oscillatory Problems

J. Sunday, K. V. Joshua, N. Danladi
J. Sunday — Department of Mathematics, University of Jos, Jos-Nigeria *
K. V. Joshua — Department of Mathematics, University of Jos, Jos-Nigeria
N. Danladi — Department of Mathematics, Adamawa State University, Mubi-Nigeria
Volume: 7, Issue 1 Year: 2019 Pages: 8-20 Published: January 1, 2019
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Abstract
In this paper, a one-step algorithm is derived and implemented for third order oscillatory problems. The derivation is carried out using the procedure of collocation and interpolation of power series basis function within a one-step integration interval [ Xn, Xn+1 ]. The paper also analyzed some basic properties of the algorithm derived. The results obtained on the application of the one-step algorithm on some sampled modeled third order oscillatory problems show that the algorithm is computationally reliable and it performed better than the ones with which we compared our results with.
Keywords
Algorithm Computation Bounded solutions One-step Oscillation Third-order 2010 AMS Subject Classification 65L05 65L06 65D30
How to Cite

Sunday, J., & Joshua, K.V., & Danladi, N. (2019). On the Derivation and Implementation of a One-step Algorithm for Third Order Oscillatory Problems. Adamawa State University Journal of Scientific Research , 7(1) , 8-20.

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January 1, 2019
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Adamawa State University Journal of Scientific Research

Vol. 7, No. 1 (2019) — pp. 8-20

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