Third derivative hybrid block integrator for solution of stiff systems of initial value problems

dc.contributor.authorOlusheye Akinfenwa
dc.date.accessioned2022-01-12T05:24:30Z
dc.date.available2022-01-12T05:24:30Z
dc.date.issued2017
dc.description.abstractA new third derivative hybrid block method is presented for the solution of first order stiff systems of initial value problems. The main method and additional methods are obtained from the same continuous scheme derived via interpolation and collocation procedures using power series as the basis function. The continuous representation of the scheme permits us to evaluate at both grid and off-grid points. The stability properties of the method is discussed. The block method is applied simultaneously to generate the numerical solutions of (1) over non-overlapping intervals. Numerical results obtained using the proposed third derivative hybrid method in block form reveal that it compares favorably well with existing methods in the literature.en_US
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/10149
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectBlock hybrid method · Off-step points · Collocation and interpolation · Stabilityen_US
dc.titleThird derivative hybrid block integrator for solution of stiff systems of initial value problemsen_US
dc.typeArticleen_US
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