TY  - JOUR
T1  - Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations
AU  - Taıwo, Oluwasayo Esther
AU  - Moshood, Lateef Olakunle
AU  - Ogunnıran, Muideen Odunayo
PY  - 2023
DA  - December
JF  - Istanbul Journal of Mathematics
PB  - Istanbul University
WT  - DergiPark
SN  - 2980-3020
SP  - 86
EP  - 95
VL  - 1
IS  - 2
LA  - en
AB  - In this paper, a class of hybrid block methods for solving second order ordinary differential equations directly was developed. This class was obtained by interpolation and collocation techniques. The methods were analyzed based on the qualitative properties of linear multi-step methods and were found to be zero-stable, consistent and convergent with good region of absolute stability. The proposed methods were analyzed quantitatively and implemented on second order ordinary differential initial value problems. An improved performance of the new methods over existing methods in the literature was shown by solving five numerical examples. The results were presented in tabular form.
KW  - Block method
KW  - hybrid method
KW  - initial value problems
KW  - one-fifth step
KW  - convergence
KW  - stability
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UR  - https://dergipark.org.tr/en/pub/ijmath/issue//1432177
L1  - https://dergipark.org.tr/en/download/article-file/3708819
ER  -