A two-step block method with two hybrid points for the numerical solution of first order ordinary differential equations

dc.contributor.authorAbdulAzeez Kayode Jimoh
dc.contributor.authorAdebayo Olusegun Adewumi
dc.date.accessioned2024-07-18T19:06:47Z
dc.date.available2024-07-18T19:06:47Z
dc.date.issued2022-12-31
dc.description.abstractA continuous two-step block method with two hybrid points for the numerical solution of first order ordinary differential equations is proposed. The approximate solution in form of power series and its first ordered derivative are respectively interpolated at the point x = 0 and collocated at equally spaced points in the interval of consideration. The application of the method involves using the main scheme derived together with the additional schemes simultaneously to obtain the solution to the problem at the grid points. The analysis of the method and the results obtained from the examples considered show that the method is consistent, zero-stable, convergent and of high accuracy.
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/1604
dc.language.isoen
dc.titleA two-step block method with two hybrid points for the numerical solution of first order ordinary differential equations
dc.typeArticle
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